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112932 = 22323137
BaseRepresentation
bin11011100100100100
312201220200
4123210210
512103212
62230500
7650151
oct334444
9181820
10112932
1177936
1255430
133c531
142d228
15236dc
hex1b924

112932 has 18 divisors (see below), whose sum is σ = 285558. Its totient is φ = 37632.

The previous prime is 112927. The next prime is 112939. The reversal of 112932 is 239211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 36 = 336^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

It is a plaindrome in base 8.

It is a nialpdrome in base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (112939) by changing a digit.

112932 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1533 + ... + 1604.

2112932 is an apocalyptic number.

112932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112932 is an abundant number, since it is smaller than the sum of its proper divisors (172626).

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

112932 is a wasteful number, since it uses less digits than its factorization.

112932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3142 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 112932 is about 336.0535671586. The cubic root of 112932 is about 48.3361816263.

The spelling of 112932 in words is "one hundred twelve thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3137 6274 9411 12548 18822 28233 37644 56466 112932