13320

13320 is a positive integer that immediately follows 13319 and precedes 13321. In number theory, it is an even composite number with prime factorization 2^3 · 3^2 · 5 · 37. This factorization yields a total of 48 positive divisors. The sum of all divisors is sigma(13320) = 44460, which means the sum of its proper divisors is 31140; since 31140 > 13320, 13320 is an abundant number.

Among its notable arithmetic properties, 13320 is divisible by 8, 9, 10, 12, 15, 18, and 20, among other divisors. It can be expressed as 360 × 37, highlighting a link to geometry (360 degrees in a circle) and the prime 37. The number sits between 115^2 = 13225 and 116^2 = 13456, so it is not a perfect square. In various bases, 13320 has the representations 11010000010000 in binary, 141400 in base 6, and 0x3408 in hexadecimal, illustrating its different numeral-system forms.

Beyond pure mathematics, 13320 may appear in datasets, catalogs, or numerical sequences as an ordinary integer. Its mathematical profile—composite, abundant, and highly factorable—makes it a representative example of a mid-range natural number with rich divisor structure.