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112635132 = 223172831951
BaseRepresentation
bin1101011011010…
…10110011111100
321211221110100120
412231222303330
5212313311012
615102054540
72535245211
oct655526374
9254843316
10112635132
1158641495
123187a450
131a44890c
1410d5db08
159d4d58c
hex6b6acfc

112635132 has 48 divisors (see below), whose sum is σ = 279401472. Its totient is φ = 35193600.

The previous prime is 112635113. The next prime is 112635137. The reversal of 112635132 is 231536211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112635137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56757 + ... + 58707.

It is an arithmetic number, because the mean of its divisors is an integer number (5820864).

Almost surely, 2112635132 is an apocalyptic number.

112635132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112635132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139700736).

112635132 is an abundant number, since it is smaller than the sum of its proper divisors (166766340).

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

112635132 is a wasteful number, since it uses less digits than its factorization.

112635132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2256 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 112635132 is about 10612.9699895929. The cubic root of 112635132 is about 482.9379016479.

The spelling of 112635132 in words is "one hundred twelve million, six hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 283 566 849 1132 1698 1951 3396 3902 4811 5853 7804 9622 11706 14433 19244 23412 28866 33167 57732 66334 99501 132668 199002 398004 552133 1104266 1656399 2208532 3312798 6625596 9386261 18772522 28158783 37545044 56317566 112635132