16416

16416 is a natural number that is even and composite. Its prime factorization is 2^5 · 3^3 · 19, so it equals 32 × 27 × 19. Consequently, 16416 has 48 positive divisors. The sum of all divisors is 50,400, which means the sum of its proper divisors is 33,984. Because this exceeds the number itself, 16416 is classified as an abundant number.

In base 10, 16416 is a Harshad (Niven) number since the sum of its digits is 1 + 6 + 4 + 1 + 6 = 18 and 16416 is divisible by 18 (16416 ÷ 18 = 912). It is divisible by 32 but not by 64, reflecting the factorization 2^5.

Representations in other bases include binary and hexadecimal. In binary, 16416 is 100000000100000, a result of its bit pattern having bits at positions 14 and 5 set. In hexadecimal, it is 0x4020, since 0x4020 equals 4 × 4096 + 0 × 256 + 2 × 16 + 0 = 16416.

Overall, 16416 serves as an example of an even, highly composite, abundant number with a straightforward prime factorization and multiple base representations.