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112933656 = 233311229149
BaseRepresentation
bin1101011101100…
…11101100011000
321212111121212000
412232303230120
5212402334111
615112321000
72540630433
oct656635430
9255447760
10112933656
1158825800
12319a3160
131a521764
1410dda81a
159dabc56
hex6bb3b18

112933656 has 192 divisors, whose sum is σ = 359100000. Its totient is φ = 32820480.

The previous prime is 112933649. The next prime is 112933661. The reversal of 112933656 is 656339211.

112933656 is a `hidden beast` number, since 1 + 1 + 293 + 365 + 6 = 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 112933656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757870 + ... + 758018.

Almost surely, 2112933656 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 112933656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179550000).

112933656 is an abundant number, since it is smaller than the sum of its proper divisors (246166344).

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

112933656 is a wasteful number, since it uses less digits than its factorization.

112933656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 112933656 is about 10627.0247953037. The cubic root of 112933656 is about 483.3641788744.

The spelling of 112933656 in words is "one hundred twelve million, nine hundred thirty-three thousand, six hundred fifty-six".