13680

13680 is a natural number that lies between 13679 and 13681. In mathematics, it is an even, composite number with prime factorization 2^4 · 3^2 · 5 · 19. This factorization implies it has 60 positive divisors, making it relatively highly divisible for its size. The number is divisible by 16, 9, 5, and 19, as well as by their combinations such as 80 (13680 ÷ 80 = 171) and 18 (13680 ÷ 18 = 760).

As a decimal integer, 13680 is a Harshad number because the sum of its digits is 1 + 3 + 6 + 8 + 0 = 18, and 13680 is divisible by 18 (13680 ÷ 18 = 760). It is also a multiple of 720, since 13680 = 720 × 19, reflecting its factorization structure.

In different numeral bases, 13680 has representations such as binary 11010101110000₂ and hexadecimal 0x3570. In binary form, the trailing zeros indicate it is divisible by powers of two, consistent with its factorization by 2^4. In hex, the 0x3570 form highlights its composition as a multiple of 16.

Overall, 13680 is a densely factorized, highly composite-looking number with a rich set of divisors and straightforward base representations, commonly used as a representative example in divisor-counting and base-conversion contexts.