6560

6560 is a natural number that follows 6559 and precedes 6561. It is an even composite number.

In terms of prime factorization, 6560 = 2^5 × 5 × 41. This factorization implies 24 positive divisors, since (5+1)(1+1)(1+1) = 24. The sum of all divisors is (2^6−1)/(2−1) × (5^2−1)/(5−1) × (41^2−1)/(41−1) = 63 × 6 × 42 = 15876, so the sum of proper divisors is 15876 − 6560 = 9316. Because this sum exceeds 6560, 6560 is an abundant number.

In base representations, 6560 is written as 6560 in decimal, 1100110100000_2 in binary, 14640_8 in octal, and 0x19A0 in hexadecimal. It is also equal to 41 × 160, illustrating another convenient factorization.

Additional mathematical properties include its divisibility: it is divisible by 10, 16, 20, 32, 40, and 80, among others. As a composite, even number with multiple prime factors, 6560 commonly appears in number-theory examples and calculations involving divisors, factorization, and base conversions. Beyond pure mathematics, 6560 may appear as a numeric identifier in various contexts, but it has no single notably canonical meaning beyond these arithmetic properties.

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