12870

12870 is a natural number that lies between 12869 and 12871. It is an even, composite number with multiple divisors and serves as a representative example of a highly factorable integer.

Its prime factorization is 2 × 3^2 × 5 × 11 × 13. This decomposition implies that 12870 has 48 positive divisors. The number is divisible by several small primes, including 2, 3, 5, and 9 (since 3^2 divides it). In particular, 12870/9 = 1430, 12870/10 = 1287, and 12870/18 = 715.

In base ten, the sum of the digits is 1 + 2 + 8 + 7 + 0 = 18, and since 18 divides 12870, the number is a Harshad (Niven) number in decimal.

Representations in other bases include binary, octal, and hexadecimal. In binary, 12870 equals 11001001000110. In octal, it is 31106, and in hexadecimal, it is 0x3246.

In mathematics, 12870 is often cited as a practical example of a number with a rich factorization structure, having a relatively large number of divisors for its size. Beyond its numeric properties, there is no widely recognized historical, astronomical, or cultural significance specifically attributed to the number 12870.