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112058856 = 23337135701
BaseRepresentation
bin1101010110111…
…10000111101000
321210212011212000
412223132013220
5212141340411
615041451000
72530325130
oct653360750
9253764760
10112058856
1158288528
1231640a60
131a2a6520
1410c4dac0
159c87956
hex6ade1e8

112058856 has 128 divisors (see below), whose sum is σ = 383174400. Its totient is φ = 29548800.

The previous prime is 112058839. The next prime is 112058879. The reversal of 112058856 is 658850211.

112058856 is a `hidden beast` number, since 1 + 1 + 20 + 588 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112058856.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16806 + ... + 22506.

It is an arithmetic number, because the mean of its divisors is an integer number (2993550).

Almost surely, 2112058856 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 112058856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191587200).

112058856 is an abundant number, since it is smaller than the sum of its proper divisors (271115544).

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

112058856 is a wasteful number, since it uses less digits than its factorization.

112058856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 112058856 is about 10585.7855636698. The cubic root of 112058856 is about 482.1128733664.

The spelling of 112058856 in words is "one hundred twelve million, fifty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 5701 6552 9828 11402 17103 19656 22804 34206 39907 45608 51309 68412 74113 79814 102618 119721 136824 148226 153927 159628 205236 222339 239442 296452 307854 319256 359163 410472 444678 478884 518791 592904 615708 667017 718326 889356 957768 1037582 1077489 1231416 1334034 1436652 1556373 1778712 2001051 2075164 2154978 2668068 2873304 3112746 4002102 4150328 4309956 4669119 5336136 6225492 8004204 8619912 9338238 12450984 14007357 16008408 18676476 28014714 37352952 56029428 112058856