13280

13280 is a positive integer. It is even and composite, possessing a nontrivial prime factorization that reveals its structure: 13280 = 2^5 × 5 × 83. This expresses 13280 as a product of powers of primes, which also implies it has 24 positive divisors.

In terms of divisibility, 13280 is divisible by 2, 4, 5, 8, 10, 16, 32 and by 83 as well (13280 = 83 × 160). Its factorization also shows it is a multiple of 160 and of 415 (since 13280 = 160 × 83 = 415 × 32). The sum of its positive divisors is 31752, and the sum of proper divisors (excluding 13280 itself) is 18472.

Representations in other bases include binary, hexadecimal, and octal. In binary, 13280 is 11001111100000. In hexadecimal, it is 0x33E0. In octal, it is 31740.

From a number-theoretic perspective, 13280 is not prime and its prime factors are pairwise coprime except for the repeated factor of 2. The presence of the factor 83 shows the number is not a simple power of a small base, while the factor 5 confirms a decimal divisibility by 5. As a standalone integer, 13280 has no widely recognized special significance beyond its arithmetic properties, though it can appear in various mathematical or computational contexts as a concrete example of a composite number with a straightforward factorization.

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