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112813232 = 2471975113
BaseRepresentation
bin1101011100101…
…10010010110000
321212021111122212
412232112102300
5212340010412
615105551252
72536616360
oct656262260
9255244585
10112813232
1158753284
1231945528
131a4ab9bc
1410da89a0
159d86222
hex6b964b0

112813232 has 40 divisors (see below), whose sum is σ = 251117856. Its totient is φ = 48093696.

The previous prime is 112813223. The next prime is 112813273. The reversal of 112813232 is 232318211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112813198 and 112813207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19508 + ... + 24620.

Almost surely, 2112813232 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 112813232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125558928).

112813232 is an abundant number, since it is smaller than the sum of its proper divisors (138304624).

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

112813232 is a wasteful number, since it uses less digits than its factorization.

112813232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5319 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 112813232 is about 10621.3573520525. The cubic root of 112813232 is about 483.1923099737.

The spelling of 112813232 in words is "one hundred twelve million, eight hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 197 394 788 1379 1576 2758 3152 5113 5516 10226 11032 20452 22064 35791 40904 71582 81808 143164 286328 572656 1007261 2014522 4029044 7050827 8058088 14101654 16116176 28203308 56406616 112813232