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112655712 = 25313194751
BaseRepresentation
bin1101011011011…
…11110101100000
321211222111120210
412231233311200
5212314440322
615102334120
72535362211
oct655576540
9254874523
10112655712
11586559a4
123188a340
131a4550b0
1410d67408
159d5470c
hex6b6fd60

112655712 has 96 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 32832000.

The previous prime is 112655701. The next prime is 112655723. The reversal of 112655712 is 217556211.

It is an interprime number because it is at equal distance from previous prime (112655701) and next prime (112655723).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 112655712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21337 + ... + 26087.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2112655712 is an apocalyptic number.

112655712 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 112655712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

112655712 is an abundant number, since it is smaller than the sum of its proper divisors (222645408).

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

112655712 is a wasteful number, since it uses less digits than its factorization.

112655712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4788 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The square root of 112655712 is about 10613.9395136773. The cubic root of 112655712 is about 482.9673130064.

The spelling of 112655712 in words is "one hundred twelve million, six hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 4751 5928 7904 9502 11856 14253 19004 23712 28506 38008 57012 61763 76016 90269 114024 123526 152032 180538 185289 228048 247052 270807 361076 370578 456096 494104 541614 722152 741156 988208 1083228 1173497 1444304 1482312 1976416 2166456 2346994 2888608 2964624 3520491 4332912 4693988 5929248 7040982 8665824 9387976 14081964 18775952 28163928 37551904 56327856 112655712