5700

5700 = 2² x 3 x 5² x 19.

5700 is a pronic number because it is the product of two consecutive numbers: 5700 = 75 x 76.

5700 is divisible by its reverse (75).

5700 is 22422 in base 7 and 2112 in base 14. It is 7733 in base 9. 5700 in base 3 (21211010) and in base 4 (1121010) ends with the same four digits: 1010.

The Nokia 5700 XpressMusic is a mobile phone that emphasizes music and multimedia playback.

Source: Number Gossip

580

580 = 2² x 5 x 29.

580 is 1001000100 in base 2 (binary). The base 3 (210111) and base 4 (21010) representations of 580 both start with 2101. 580 is 2404 in base 6 and 404 in base 12. It is 202 in base 17 and 104 in base 24.

580 has two representations as a sum of two squares: 580 = 2² + 24² = 16² + 18².

580 is the sum of six consecutive primes: 580 = 83 + 89 + 97 + 101 + 103 + 107.

Telephone area code 580 serves the state of Oklahoma.

Source: Positive Integers

148

148 = 2² x 37.

148 has a representation as a sum of two squares: 148 = 2² + 12².

148 is a heptagonal number. It is also a centered heptagonal number.

148 is the number of perfect graphs with six vertices.

148 x (14 + 8) = 14³ + 8³ = 3256.

Three square numbers using the same digits: 148² = 21904; 203² = 41209; and 302² = 91204.

The astronomical object Arp 148 is the spectacular aftermath of an encounter between two galaxies.

Source: Numeropedia

381

381 = 3 x 127.

381 is 101111101 in base 2 (binary). It is 575 in base 8 and 111 in base 19.

381 is the sum of the first 16 primes: 381 = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53.

The sum of the divisors of 381 is a cube: 1 + 3 + 127 + 381 = 512 = 8³.

381 can represent the term "I Love You" (three words, eight letters, one meaning).

Source: Wikipedia

653

653 is a prime number. It is a Sophie Germain prime because 2 x 653 + 1 = 1307 is a prime.

653 is the first three-digit prime number to occur in the decimal expansion of pi.

653 has a representation as a sum of two squares: 653 = 13² + 22².

653 is the hypotenuse of a primitive Pythagorean triple: 653² = 315² + 572².

653 is the sum of the squares of five consecutive primes: 653 = 5² + 7² + 11² + 13² + 17².

ARINC 653 is a software specification for space and time partitioning in safety-critical avionics real-time operating systems.

Source: Number Gossip

1424

1424 = 2⁴ x 89.

1424 has a representation as a sum of two squares: 1424 = 20² + 32².

1424 is a number for which the sum of the reciprocals of the digits is an integer: 1/1 + 1/4 + 1/2 + 1/4 = 2.

1424 is the sum of four squares in exactly seven ways. It is the sum of four distinct squares in exactly two ways.

1424 uses only the digits 1, 2, and/or 4 in base 4 (112100), base 5 (21144), and base 10 (1424).

Hotel 1424 is in St. Helena, California.

Source: On-Line Encyclopedia of Integer Sequences

6287

6287 is a prime number.

6287 is a number that cannot be written as a sum of three squares.

6287 is the central term of five successive primes such that their average is a prime.

6287 is an odious number because it has an odd number of 1s in its binary expansion: 22121212.

NGC 6287 is a globular cluster in the constellation Ophiuchus.

Source: On-Line Encyclopedia of Integer Sequences