26300

26300 is a natural number that lies between 26299 and 26301. In decimal arithmetic, it is an even composite number with a prime factorization of 26300 = 2^2 × 5^2 × 263, where 263 is a prime number. This factorization implies there are 18 positive divisors.

The divisors of 26300 are obtained by multiplying 2^a × 5^b × 263^c with a in {0,1,2}, b in {0,1,2}, and c in {0,1}. The two groups of divisors are: 1, 2, 4, 5, 10, 20, 25, 50, 100, and 263, 526, 1052, 1315, 2630, 5260, 6575, 13150, 26300. The sum of all divisors is 57,288, reflecting the multiplicative structure of the number.

Divisibility properties include divisibility by 4, by 25, and by 100, due to the factorization containing 2^2 and 5^2. It is not divisible by 3, as the sum of its digits is 11. The presence of the factor 263 means that any divisor containing this factor will be multiples of 263.

Beyond pure mathematics, 26300 may be used as a numeric identifier in various contexts (such as codes, catalog numbers, or postal references) depending on the jurisdiction. Without specific context, its meaning remains ambiguous.