10380

The number 10380 is a composite number. Its prime factorization is 2^2 * 3 * 5 * 173. This means it is divisible by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 34, 60, 69, 102, 138, 173, 204, 276, 346, 414, 519, 579, 692, 865, 1038, 1155, 1190, 1290, 1730, 2076, 2595, 3460, 5190, and itself, 10380. The sum of its divisors is 27720. It is an abundant number because the sum of its proper divisors (divisors excluding the number itself) is greater than the number.

In mathematics, 10380 can be represented in various ways. For instance, it is a Harshad number in base 10, as it is divisible by the sum of its digits (1 + 0 + 3 + 8 + 0 = 12, and 10380 / 12 = 865). It is also a sphenic number, as it is the product of three distinct prime numbers (2 * 3 * 5 * 173, although technically sphenic numbers are the product of *exactly* three distinct primes, making 10380 not a sphenic number in the strict definition).

The number 10380 does not hold significant widespread cultural or historical importance. It is primarily encountered in mathematical contexts.