26500

26500 is an integer. In mathematics, it is an even, composite number with the prime factorization 2^2 × 5^3 × 53. This allows it to be written as 265 × 100 or 53 × 500, illustrating that it is the product of 100 and 265, as well as 53 and 500. Because it ends in two zeros, 26500 is a multiple of 100 and therefore divisible by 4, 5, 10, 20, 25, 50, and 100.

The sum of its decimal digits is 2 + 6 + 5 + 0 + 0 = 13, which means 26500 is not divisible by 3 or 9. Its divisibility by 53 is direct from its factorization (26500 = 53 × 500), and by 125 (since 5^3 divides it). Overall, 26500 has 24 positive divisors, corresponding to the combinations of the powers of 2 (0–2), 5 (0–3), and 53 (0–1).

In practical use, 26500 is a typical round figure in decimal notation due to its multiple of 100, making it convenient in contexts such as financial calculations and measurements that employ cent-based or hundred-based units. While there is no widely recognized mathematical constant or theorem specific to 26500, its properties reflect common arithmetic traits of numbers with trailing zeros and mixed prime factors.