14880

14880 is a natural number, the integer that follows 14879 and precedes 14881.

Its prime factorization is 2^5 × 3 × 5 × 31, which shows it is composite. The number of positive divisors is (5+1)(1+1)(1+1)(1+1) = 48. The sum of all divisors is σ(14880) = 63 × 4 × 6 × 32 = 48384, so the sum of proper divisors is 48384 − 14880 = 33504. Because the latter exceeds 14880, 14880 is an abundant number.

In terms of divisibility, 14880 is divisible by 2, 3, and 5 (as indicated by its prime factors), as well as by higher powers of 2 up to 2^5 (32). It can be expressed as 14880 = 31 × 480, highlighting its inclusion of the prime factor 31.

In base representations, 14880 equals 0x3A20 in hexadecimal and 11101000100000 in binary (without leading zeros). It also has straightforward time-related interpretations: 14880 seconds equal 4 hours and 8 minutes, and 14880 minutes equal 10 days and 8 hours.

Summary: 14880 is a composite, abundant number with a rich factorization structure, notable for its hex and binary representations and its exact time-based conversions.