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112919856 = 24373137293
BaseRepresentation
bin1101011101100…
…00010100110000
321212110220220220
412232300110300
5212401413411
615112133040
72540542260
oct656602460
9255426826
10112919856
11588163a5
1231997180
131a5183aa
1410dd57a0
159da7b06
hex6bb0530

112919856 has 160 divisors (see below), whose sum is σ = 354643968. Its totient is φ = 30274560.

The previous prime is 112919791. The next prime is 112919879. The reversal of 112919856 is 658919211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385246 + ... + 385538.

Almost surely, 2112919856 is an apocalyptic number.

112919856 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 112919856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177321984).

112919856 is an abundant number, since it is smaller than the sum of its proper divisors (241724112).

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

112919856 is a wasteful number, since it uses less digits than its factorization.

112919856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 112919856 is about 10626.3754874369. The cubic root of 112919856 is about 483.3444897412.

The spelling of 112919856 in words is "one hundred twelve million, nine hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 37 42 48 56 62 74 84 93 111 112 124 148 168 186 217 222 248 259 293 296 336 372 434 444 496 518 586 592 651 744 777 868 879 888 1036 1147 1172 1302 1488 1554 1736 1758 1776 2051 2072 2294 2344 2604 3108 3441 3472 3516 4102 4144 4588 4688 5208 6153 6216 6882 7032 8029 8204 9083 9176 10416 10841 12306 12432 13764 14064 16058 16408 18166 18352 21682 24087 24612 27249 27528 32116 32523 32816 36332 43364 48174 49224 54498 55056 63581 64232 65046 72664 75887 86728 96348 98448 108996 127162 128464 130092 145328 151774 173456 190743 192696 217992 227661 254324 260184 303548 336071 381486 385392 435984 455322 508648 520368 607096 672142 762972 910644 1008213 1017296 1214192 1344284 1525944 1821288 2016426 2352497 2688568 3051888 3642576 4032852 4704994 5377136 7057491 8065704 9409988 14114982 16131408 18819976 28229964 37639952 56459928 112919856