36368

36368 is a natural number that comes after 36367 and before 36369. It is an even, composite integer.

The prime factorization of 36368 is 2^4 × 2273, where 2273 is a prime number.

Consequently, 36368 has 10 positive divisors: 1, 2, 4, 8, 16, 2273, 4546, 9092, 18184, and 36368.

The sum of its divisors (including itself) is 70,494, so the sigma function σ(36368) = 70494.

The digital sum is 26, giving a digital root of 8.

In hexadecimal, 36368 equals 0x8E10; in binary, 36368 equals 1000111000010000. The number is divisible by 16, reflecting the factorization 2^4 × 2273.

Because the factorization includes a small power of two and a large prime, 36368 is sometimes used as an illustrative example of numbers with mixed prime structure.

There are no widely cited cultural or historical associations with this specific number. As with many integers, it mainly serves as an example in discussions of prime factorization, divisors, and numeral representations.