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112655256 = 233719291217
BaseRepresentation
bin1101011011011…
…11101110011000
321211222110221220
412231233232120
5212314432011
615102332040
72535360660
oct655575630
9254873856
10112655256
115865561a
123188a020
131a454b1c
1410d671a0
159d54506
hex6b6fb98

112655256 has 128 divisors (see below), whose sum is σ = 350784000. Its totient is φ = 29417472.

The previous prime is 112655251. The next prime is 112655281. The reversal of 112655256 is 652556211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112655251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91960 + ... + 93176.

It is an arithmetic number, because the mean of its divisors is an integer number (2740500).

Almost surely, 2112655256 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 112655256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175392000).

112655256 is an abundant number, since it is smaller than the sum of its proper divisors (238128744).

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

112655256 is a wasteful number, since it uses less digits than its factorization.

112655256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1277 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 112655256 is about 10613.9180324704. The cubic root of 112655256 is about 482.9666613650.

The spelling of 112655256 in words is "one hundred twelve million, six hundred fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 56 57 58 76 84 87 114 116 133 152 168 174 203 228 232 266 348 399 406 456 532 551 609 696 798 812 1064 1102 1217 1218 1596 1624 1653 2204 2434 2436 3192 3306 3651 3857 4408 4868 4872 6612 7302 7714 8519 9736 11571 13224 14604 15428 17038 23123 23142 25557 29208 30856 34076 35293 46246 46284 51114 68152 69369 70586 92492 92568 102228 105879 138738 141172 161861 184984 204456 211758 247051 277476 282344 323722 423516 485583 494102 554952 647444 670567 741153 847032 971166 988204 1294888 1341134 1482306 1942332 1976408 2011701 2682268 2964612 3884664 4023402 4693969 5364536 5929224 8046804 9387938 14081907 16093608 18775876 28163814 37551752 56327628 112655256