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112031856 = 24333743163
BaseRepresentation
bin1101010110101…
…11100001110000
321210210210211000
412223113201300
5212140004411
615041122000
72530153326
oct653274160
9253723730
10112031856
115826a212
1231629300
131a297151
1410c43d16
159c7e956
hex6ad7870

112031856 has 160 divisors (see below), whose sum is σ = 340017920. Its totient is φ = 35271936.

The previous prime is 112031851. The next prime is 112031863. The reversal of 112031856 is 658130211.

112031856 = T295 + T296 + ... + T886.

It is a super-2 number, since 2×1120318562 = 25102273517609472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112031851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687231 + ... + 687393.

It is an arithmetic number, because the mean of its divisors is an integer number (2125112).

Almost surely, 2112031856 is an apocalyptic number.

112031856 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 112031856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170008960).

112031856 is an abundant number, since it is smaller than the sum of its proper divisors (227986064).

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

112031856 is a wasteful number, since it uses less digits than its factorization.

112031856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 112031856 is about 10584.5101917850. The cubic root of 112031856 is about 482.0741493909.

The spelling of 112031856 in words is "one hundred twelve million, thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 43 48 54 72 74 86 108 111 129 144 148 163 172 216 222 258 296 326 333 344 387 432 444 489 516 592 652 666 688 774 888 978 999 1032 1161 1304 1332 1467 1548 1591 1776 1956 1998 2064 2322 2608 2664 2934 3096 3182 3912 3996 4401 4644 4773 5328 5868 6031 6192 6364 7009 7824 7992 8802 9288 9546 11736 12062 12728 14018 14319 15984 17604 18093 18576 19092 21027 23472 24124 25456 28036 28638 35208 36186 38184 42054 42957 48248 54279 56072 57276 63081 70416 72372 76368 84108 85914 96496 108558 112144 114552 126162 144744 162837 168216 171828 189243 217116 229104 252324 259333 289488 325674 336432 343656 378486 434232 504648 518666 651348 687312 756972 777999 868464 1009296 1037332 1302696 1513944 1555998 2074664 2333997 2605392 3027888 3111996 4149328 4667994 6223992 7001991 9335988 12447984 14003982 18671976 28007964 37343952 56015928 112031856