113288 has 36 divisors (see below), whose sum is σ = 262485. Its totient is φ = 45696.

The previous prime is 113287. The next prime is 113327. The reversal of 113288 is 882311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 9604 = 322^2 + 98^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=238.

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (113287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6656 + ... + 6672.

2^{113288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113288

113288 is an abundant number, since it is smaller than the sum of its proper divisors (149197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113288 is a wasteful number, since it uses less digits than its factorization.

113288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 26 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 113288 is about 336.5828278448. The cubic root of 113288 is about 48.3869190340.

Adding to 113288 its sum of digits (23), we get a palindrome (113311).

Adding to 113288 its reverse (882311), we get a palindrome (995599).

The spelling of 113288 in words is "one hundred thirteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 289 392 476 578 833 952 1156 1666 2023 2312 3332 4046 6664 8092 14161 16184 28322 56644 113288

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