10400

10400 is a natural number that follows 10399 and precedes 10401. It is even and composite.

Prime factorization: 10400 = 2^5 * 5^2 * 13. From this factorization, the number has 36 positive divisors.

10400 is a multiple of 100 and of 13, and therefore a multiple of 1300. It is divisible by 32 (10400/32 = 325) and by 25 (10400/25 = 416), but not by 64.

In common representations, 10400 equals 10100010100000 in binary and 28A0 in hexadecimal.

It can be expressed as a sum of two squares: 10400 = 76^2 + 68^2, illustrating the sum-of-squares property derived from its prime factors.

The digits sum to 5, so 10400 is a Harshad (Niven) number in base 10, since 10400 divided by 5 equals 2080.

There is no widely recognized historical or geographic significance attached to the number itself; it is primarily of interest for arithmetic and number-theory contexts.