2010

2010 = 2 x 3 x 5 x 67.

2010 is 133122 in base 4.

2010 is the solution to the postage stamp problem with 3 denominations and 30 stamps.

2010 is the maximal length of a rook's tour on a 14 x 15 chessboard.

2010 is a number having exactly four distinct prime factors, for which the largest is greater than the square root of the number.

The 2010 Winter Olympic Games will be held in Vancouver, British Columbia, Feb. 12-28.

Source: On-Line Encyclopedia of Integer Sequences

2284

2284 = 2² x 571.

2284 is 203320 in base 4 and 4354 in base 8.

2284 is the number of 3 x 10 binary matrices.

2284 is the number of 7-digit perfect powers.

2284 is a year in which there will be five Fridays in February. It last happened in 2008 and will occur next in 2036.

Source: On-Line Encyclopedia of Integer Sequences

1900

1900 = 2² x 5² x 19.

1900 has the representation 1900 = 2³ 3⁵ - 44.

There are 1900 prime numbers less than or equal to 2¹⁵.

1900 is a 13-gonal (triskaeidecagonal or tridecagonal) number.

1900 is the sum of eight consecutive primes: 1900 = 223 + 227 + 229 + 233 + 239 + 241 + 251 + 257.

1900 is the largest palindrome in Roman numerals: MCM.

Source: On-Line Encyclopedia of Integer Sequences

1814

1814 = 2 x 907.

1814 is a number that is not the sum of a triangular number, a square, and a nonnegative cube.

1814 is a Fibonacci number (4181) written backwards.

1814 is 24224 in base 5, 12222 in base 6, and 2435 in base 9.

George Stephenson designed his first locomotive in the year 1814.

Source: On-Line Encyclopedia of Integer Sequences

1504

1504 = 2⁵ x 47.

1504 is an example of a number n for which 6n + 1 is a perfect square: 6(1504) + 1 = 9025 = 95².

1504 is the number of anisohedral polyiamonds with 21 cells. A tiling is isohedral if the symmetries of the tiling act transitively on the tiles; a shape is anisohedral if tiles the plane, but not isohedrally.

1504 is a number that is not the sum of a triangular number, a square, and a nonnegative cube. There are 714 such numbers below 2*10⁹.

On Feb. 29, 1504, Christopher Columbus used his knowledge of a lunar eclipse that night to persuade Jamaican tribesmen to provide him and his crew with supplies.

Source: On-Line Encyclopedia of Integer Sequences

1412

1412 = 2² x 353.

1412 has a representation as a sum of two squares: 1412 = 16² + 34².

1412 is a number whose product of digits is equal to its sum of digits: 1 x 4 x 1 x 2 = 1 + 4 + 1 + 2 = 8.

1412 has a cube whose digits occur with the same frequency: 1412³ = 2815166528. Each of its digits occur twice.

St. Joan of Arc was born in the year 1412.

Source: What's Special About This Number?

1301

1301 is a prime number.

1301 has a representation as a sum of two squares: 1301 = 25² + 26².

1301 and 1303 form a twin prime pair.

1301 is the hypotenuse of a primitive Pythagorean triple: 1301² = 51² + 1300².

1301 can be represented as 2⁴ 3⁴ + 5.

Bromotrifluoromethane, also known by the trade name Halon 1301, is a colorless, odorless gas that was used to extinguish fires.

Source: Prime Curios!