10764

10764 is a positive integer. In prime factorization terms, it equals 2^2 × 3^2 × 13 × 23, which yields 36 positive divisors. Its divisors include small factors such as 1, 2, 3, 4, 6, 9, 12, 18, 36, and many larger ones up to 10764 itself.

As a result of its factorization, the sum of all divisors of 10764 is 30576, which means the sum of its proper divisors is 19812. Since 19812 > 10764, the number is abundant. Its Euler’s totient function value is 3168, indicating there are 3168 integers between 1 and 10764 that are relatively prime to 10764. The number is also a Harshad (Niven) number in base 10, because it is divisible by the sum of its decimal digits (1+0+7+6+4 = 18, and 10764 ÷ 18 = 598).

In numeral systems, 10764 can be represented as 0x2A0C in hexadecimal and 10101000001100 in binary.

A small but useful observation is that 10764 equals 36 × 299, with 299 further factored as 13 × 23. This makes it a convenient example in discussions of divisor structure and factorization. Beyond its arithmetic properties, 10764 may appear as an identifier or catalog number in various contexts, but such uses are context-specific and not part of a single canonical meaning.