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112348656 = 24327227491
BaseRepresentation
bin1101011001001…
…00110111110000
321211101220101100
412230210313300
5212230124111
615052004400
72532643050
oct654446760
9254356340
10112348656
1158466232
1231760700
131a3783c4
1410cc7560
159ce3756
hex6b24df0

112348656 has 120 divisors (see below), whose sum is σ = 361655424. Its totient is φ = 31893120.

The previous prime is 112348549. The next prime is 112348661. The reversal of 112348656 is 656843211.

It is a happy number.

112348656 is a `hidden beast` number, since 1 + 123 + 486 + 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 112348656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228571 + ... + 229061.

Almost surely, 2112348656 is an apocalyptic number.

112348656 is a gapful number since it is divisible by the number (16) 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 112348656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180827712).

112348656 is an abundant number, since it is smaller than the sum of its proper divisors (249306768).

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

112348656 is a wasteful number, since it uses less digits than its factorization.

112348656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 730 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 112348656 is about 10599.4648921538. The cubic root of 112348656 is about 482.5281195636.

The spelling of 112348656 in words is "one hundred twelve million, three hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 227 252 336 454 491 504 681 908 982 1008 1362 1473 1589 1816 1964 2043 2724 2946 3178 3437 3632 3928 4086 4419 4767 5448 5892 6356 6874 7856 8172 8838 9534 10311 10896 11784 12712 13748 14301 16344 17676 19068 20622 23568 25424 27496 28602 30933 32688 35352 38136 41244 54992 57204 61866 70704 76272 82488 111457 114408 123732 164976 222914 228816 247464 334371 445828 494928 668742 780199 891656 1003113 1337484 1560398 1783312 2006226 2340597 2674968 3120796 4012452 4681194 5349936 6241592 7021791 8024904 9362388 12483184 14043582 16049808 18724776 28087164 37449552 56174328 112348656