11152

11152 is a positive integer in the decimal system. The digits of 11152 are 1, 1, 1, 5, and 2, and the number is even.

Mathematical properties: The prime factorization of 11152 is 2^4 multiplied by 17 and 41, i.e., 11152 = 2^4 · 17 · 41. This factorization implies that the number has 20 positive divisors. The sum of all divisors of 11152 is 31 · 18 · 42 = 23,436, so the sum of its proper divisors (excluding the number itself) is 23,436 − 11,152 = 12,284. Because the sum of proper divisors exceeds the number, 11152 is classified as an abundant number. Its largest prime factor is 41, and it is divisible by 16 (since 2^4 divides it).

Representations in other bases: In binary, 11152 is 10101110010000_2. In hexadecimal, it equals 0x2B90.

Additional notes: Since it is even and composite, 11152 is not a prime. Its divisibility by 17 and 41 is evident from its factorization, and its abundance places it among numbers that have a higher sum of proper divisors than their value. The digit sum of 11152 is 10, so it is not divisible by 3 or 9, and its modulo 9 value is 1. These properties make 11152 a typical example of a non-prime, even, abundant integer with a straightforward factorization.