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112613904 = 243213431399
BaseRepresentation
bin1101011011001…
…01101000010000
321211220101020100
412231211220100
5212312121104
615101412400
72535126264
oct655455020
9254811210
10112613904
1158627547
123186a100
131a43c060
1410d560a4
159d47139
hex6b65a10

112613904 has 120 divisors (see below), whose sum is σ = 347547200. Its totient is φ = 33820416.

The previous prime is 112613887. The next prime is 112613953. The reversal of 112613904 is 409316211.

112613904 is a `hidden beast` number, since 11 + 261 + 390 + 4 = 666.

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, 79797 + ... + 81195.

Almost surely, 2112613904 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 112613904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173773600).

112613904 is an abundant number, since it is smaller than the sum of its proper divisors (234933296).

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

112613904 is a wasteful number, since it uses less digits than its factorization.

112613904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 112613904 is about 10611.9698454151. The cubic root of 112613904 is about 482.9075604636.

The spelling of 112613904 in words is "one hundred twelve million, six hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1399 1548 1677 1872 2064 2236 2798 3096 3354 4197 4472 5031 5596 6192 6708 8394 8944 10062 11192 12591 13416 16788 18187 20124 22384 25182 26832 33576 36374 40248 50364 54561 60157 67152 72748 80496 100728 109122 120314 145496 163683 180471 201456 218244 240628 290992 327366 360942 436488 481256 541413 654732 721884 782041 872976 962512 1082826 1309464 1443768 1564082 2165652 2346123 2618928 2887536 3128164 4331304 4692246 6256328 7038369 8662608 9384492 12512656 14076738 18768984 28153476 37537968 56306952 112613904