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112835232 = 2532391789
BaseRepresentation
bin1101011100110…
…11101010100000
321212022121211200
412232123222200
5212341211412
615110241200
72540040456
oct656335240
9255277750
10112835232
1158768864
1231956200
131a4b8a13
1410db29d6
159d8c9dc
hex6b9baa0

112835232 has 36 divisors (see below), whose sum is σ = 320876010. Its totient is φ = 37611648.

The previous prime is 112835231. The next prime is 112835267. The reversal of 112835232 is 232538211.

It can be written as a sum of positive squares in only one way, i.e., 107246736 + 5588496 = 10356^2 + 2364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 112835196 and 112835205.

It is not an unprimeable number, because it can be changed into a prime (112835231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195607 + ... + 196182.

Almost surely, 2112835232 is an apocalyptic number.

112835232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112835232 is an abundant number, since it is smaller than the sum of its proper divisors (208040778).

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

112835232 is a wasteful number, since it uses less digits than its factorization.

112835232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391805 (or 391794 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 112835232 is about 10622.3929507433. The cubic root of 112835232 is about 483.2237174593.

The spelling of 112835232 in words is "one hundred twelve million, eight hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 391789 783578 1175367 1567156 2350734 3134312 3526101 4701468 6268624 7052202 9402936 12537248 14104404 18805872 28208808 37611744 56417616 112835232