186

186 = 2 x 3 x 31.

186 is the maximum number of regions into which 9 spheres divide space.

7 x 5 x 3 x 2 - 4 x 3 x 2 x 1 = 186.

186 x 39 = 7254 uses each of the nine digits 1-9 once.

186 is 1221 in base 5 and 272 in base 8.

186 is the number of odd days in a year that is not a leap year.

Source: Number Gossip

410

410 = 2 x 5 x 41.

410 has two representations as a sum of two squares: 410 = 7² + 19² = 11² + 17². 410 is the smallest number that can be represented as the sum of the squares of distinct primes in two different ways.

410 is 120012 in base 3, 12122 in base 4, and 1124 in base 7. It is 505 in base 9 and 343 in base 11.

410 is the sum of six consecutive primes: 410 = 57 + 61 + 67 + 71 + 73 + 79.

410 is the telephone area code for the Baltimore area of the state of Maryland.

Source: Prime Curios!

222

222 = 2 x 3 x 37.

222 is the number of integer partitions of 28 into distinct parts.

222 is the smallest number with three prime digits.

The number 222² + 222²² + 222²²² + 1 is a prime.

222 is 1010 in base 6. It is 141 in base 13.

Room 222 was a TV show that aired from 1969 to 1974.

Source: Number Gossip

3642

3642 = 2 x 3 x 607.

3642 is 320322 in base 4 and 7072 in base 8.

3642 is the number of labeled topologies with 5 points.

3642 and 3642² use only the digits 1, 2, 3, 4, and 6. The internal digits of the squared number include only the digits of the number.

36423641 and 36423643 are a pair of twin primes.

3642 is one of the 36 Class steam locomotives operated by the New South Wales Government Railways.

Source: On-Line Encyclopedia of Integer Sequences

1414

1414 = 2 x 7 x 101.

1414 is a divisor of 95¹⁵ - 1.

1414 is the smallest number whose square contains three consecutive nines: 1414² = 1,999,396.

1414³ = 2,827,145,944 = (-28 + 27 + 1459 - 44)³.

1414 is 4060 in base 7 and 644 in base 15.

Studio 1414 is the second largest sound stage in Minnesota.

Source: What's Special About This Number?

1239

1239 = 3 x 7 x 59.

1239 is a value of n for which n⁸, n⁹, n¹⁰, and n¹¹ have the same digit sum (135).

1239 is the average of three successive primes (1231, 1237, 1249).

The sum of the squares of the factors of 1239 is a prime number: 3² + 7² + 59² = 3539, a prime.

1239 is the composite number displayed at the start of the music video "Prime Composition" by Daniel Jones.

Source: Prime Curios!

890

890 = 2 x 5 x 89.

890 has two representations as a sum of two squares: 890 = 7² + 29² = 19² + 23².

890 is a divisor of 37⁸ - 1.

890 is 1188 in base 9.

890 is the sum of four consecutive primes: 890 = 211 + 223 + 227 + 229.

WLS 890 AM is a radio station in Chicago.

Source: Wikipedia

606

606 = 2 x 3 x 101.

606 is both a 11-gonal (hendecagonal) number and a centered 11-gonal (hendecagonal) number.

606 is 4411 in base 5.

606 is the sum of six consecutive primes: 606 = 89 + 97 + 101 + 103 + 107 + 109.

606 is the telephone area code the covers the eastern part of the state of Kentucky.

Source: What's Special About This Number?

174

174 = 2 x 3 x 29.

174 is a divisor of 59² - 1.

174 is the number of twin primes among the first thousand primes.

174 = 7² + 5³.

174 is the smallest number that can be written as the sum of four positive distinct squares in six ways.

In 1978, Landon Noll and Laura Nickel used a CDC Cyber 174 to prove that the Mersenne number M₂₁₇₀₁ is a prime number.

Source: Prime Curios!

987

987 = 3 x 7 x 47.

987 is the 16th Fibonacci number.

987 is a divisor of 46⁶ - 1.

987 is the only three-digit number with consecutively decreasing digits such that when multiplied by the sum of its digits plus and minus 1, the results are primes: 987(9 + 8 + 7) - 1 = 23,687 and 987(9 + 8 + 7) + 1 = 23,689.

1 x 8 + 1 = 9

12 x 8 + 2 = 98

123 x 8 + 3 = 987

1234 x 8 + 4 = 9876

12345 x 8 + 5 = 98765

987 Hotels has hotels in Prague and Barcelona.

Source: Prime Curios!

1270

1270 = 2 x 5 x 127.

1270 is a divisor of 19⁶ - 1.

1270 is 1661 in base 9.

1270 is the sum of five positive fifth powers: 1270 = 4⁵ + 3⁵ + 1⁵ + 1⁵ + 1⁵.

1270 is a perfume produced by Frapin and named for the year in which the Frapin family established itself in the Cognac region of France.

Source: On-Line Encyclopedia of Integer Sequences

582

582 = 2 x 3 x 97.

582 is the number of antisymmetric relations on a five-element set.

582 is a divisor of 61³ - 1.

582 is 210120 in base 3 and 21012 in base 4.

582 is the sum of eight consecutive primes: 582 = 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89.

The Rotax 582 is an engine designed for ultralight aircraft.

Source: What's Special About This Number?

1113

1113 = 3 x 7 x 53.

1113 is the number of integer partitions of 40 into distinct parts.

1113 is divisible by the product of its digits (1 x 1 x 1 x 3 = 3).

1113 is the concatenation of two consecutive primes (11 and 13).

The sum of the divisors of 1113 is a cube: 1 + 3 + 7 + 21 + 53 + 159 + 371 + 1113 = 1728 = 12³.

1113 Katja is an asteroid discovered in 1928.

Source: What's Special About This Number?

266

266 = 2 x 7 x 19.

266 is 222 in base 11.

266 is a divisor of 11³ - 1.

The palindromic concatenation reflection of 266 (662266) has a prime factorization with only palindromic factors: 662266 = 2 x 11 x 30103.

2,661,653 = 1653² - 266².

The gestation period for humans is about 266 days.

Source: Prime Curios!

102

102 = 2 x 3 x 17.

The number and the sum of its digits, 3, is equal to the number of its different prime factors.

102 is 66 in base 16.

102 is the smallest number with three different digits.

102 is the alphanumeric value of THOUSAND.

Four square numbers using the same digits: 102² = 10404, 120² = 14400, 201² = 40401, and 210² = 44100; 012² = 144 and 021² = 441.

102 is the name of a river in the state of Missouri. To French explorers the native American name for the river sounded like cent deux, the French words for 102.

Source: Number Gossip

455

455 = 5 x 7 x 13.

455 is 111000111 in base 2 (binary), and it is 555 in base 9.

455 is the 13th tetrahedral number.

455 is a number that cannot be written as a sum of three squares.

455 is the number of plus signs needed to write the partitions of 13.

Kathy Mattea sang 455 Rocket, a song celebrating Oldsmobiles of the 1960s and 70s with the high-powered 455 Rocket V8 engine.

Source: Number Gossip

1235

1235 = 5 x 13 x 19.

1235 is an aspiring number.

1235 is 103103 in base 4 and 2323 in base 8. It is 575 in base 15.

The square of 1235 uses only the digits 1, 2, and 5: 1235² = 1,525,225.

1235 Schorria is a Mars-crossing asteroid discovered in 1931.

Source: Number Gossip

374

374 = 2 x 11 x17.

374 is the smallest number with eight representations as a sum of three positive squares: 374 = 1² + 7² + 18² = 2² + 3² + 19² = 2² + 9² + 17² = 3² + 13² + 14² = 5² + 5² + 18² = 6² + 7² + 17² = 6² + 13² + 13² = 7² + 10² + 15².

374 is 2444 in base 5, 1422 in base 6, 566 in base 8, and 455 in base 9.

374, 375, and 376 have the same number of divisors: 1, 2, 11, 17, 22, 34, 187, 374; 1, 3, 5, 15, 25, 75, 125, 375; 1, 2, 4, 8, 47, 94, 188, 376.

374 is a powerful number; it is the sum of positive powers of its digits.

CPR Engine 374 is on display in Vancouver, Canada. It pulled the first transcontinental train into the city on May 23, 1887.

Source: What's Special About This Number?

130

130 = 2 x 5 x 13.

130 has two representations as a sum of two squares: 130 = 3² + 11² = 7² + 9².

130 is the smallest number with eight representations as a sum of four positive squares: 130 = 1² + 1² + 8² + 8² = 1² + 2² + 2² + 11² = 1² + 2² + 5² + 10² = 1² + 4² + 7² + 8² = 2² + 3² + 6² + 9² = 3² + 6² + 6² + 7² = 4² + 4² + 7² + 7² = 4² + 5² + 5² + 8².

130 is a cake number.

130 is the sum of the factorials of the first five terms of the Fibonacci sequence: 130 = 1! + 1! + 2! + 3! + 5!.

130 is the only number that is equal to the sum of the squares of its first four divisors: 130 = 1² + 2² + 5² + 10².

The Lockheed C-130 Hercules is a four-engine turboprop military transport aircraft.

Source: Number Gossip

430

430 = 2 x 5 x 43.

430 is the number of necklaces possible with six beads, each being one of four colors.

430 is 656 in base 8.

430 is the number of primes less than 3000.

430 is a number such that its square is the sum of two or more consecutive squares.

The Ferrari F430 is a sports car produced from 2004 to 2009.

Source: What's Special About This Number?