116565

116565 is a natural number that lies between 116564 and 116566. It is an odd, composite integer with a distinct prime factorization.

Prime factorization and divisors

116565 = 3 × 5 × 19 × 409, a product of four distinct primes. As a result, it has 2^4 = 16 positive divisors. These divisors are: 1, 3, 5, 15, 19, 57, 95, 285, 409, 1227, 2045, 6135, 7771, 23313, 38855, and 116565. The number is square-free, meaning no prime factor is repeated.

Basic number-theoretic properties

The sum of its digits is 24, so 116565 is divisible by 3. It is also divisible by 5, making it divisible by 15 (3 × 5). The Euler totient function yields φ(116565) = (3−1)×(5−1)×(19−1)×(409−1) = 2×4×18×408 = 58,752.

Representations and context

In scientific notation, 116565 equals 1.16565 × 10^5. In binary or other bases, representations are more complex and not as commonly used for descriptive purposes. There is no widely known mathematical constant or famous object specifically associated with the number 116565.

Usage

Outside pure mathematics, 116565 may appear as an identifier, catalog number, or code in various systems, but it does not have a broadly recognized significance beyond its numerical properties.