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113232 = 2437337
BaseRepresentation
bin11011101001010000
312202022210
4123221100
512110412
62232120
7651060
oct335120
9182283
10113232
1178089
1255640
133c702
142d3a0
152383c
hex1ba50

113232 has 40 divisors (see below), whose sum is σ = 335296. Its totient is φ = 32256.

The previous prime is 113227. The next prime is 113233. The reversal of 113232 is 232311.

Adding to 113232 its reverse (232311), we get a palindrome (345543).

It can be divided in two parts, 11323 and 2, that added together give a triangular number (11325 = T150).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 504.

2113232 is an apocalyptic number.

113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 336×337.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167648).

113232 is an abundant number, since it is smaller than the sum of its proper divisors (222064).

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

113232 is a wasteful number, since it uses less digits than its factorization.

113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 113232 is about 336.4996285288. The cubic root of 113232 is about 48.3789449206.

The spelling of 113232 in words is "one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 337 674 1011 1348 2022 2359 2696 4044 4718 5392 7077 8088 9436 14154 16176 18872 28308 37744 56616 113232