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113687712 = 2534231907
BaseRepresentation
bin1101100011010…
…11110010100000
321220220221020000
412301223302200
5213101001322
615140420000
72550221025
oct661536240
9256827200
10113687712
11591a0296
12320a7600
131a726a48
141115554c
159eaa3ac
hex6c6bca0

113687712 has 120 divisors (see below), whose sum is σ = 349072416. Its totient is φ = 36229248.

The previous prime is 113687701. The next prime is 113687731. The reversal of 113687712 is 217786311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58663 + ... + 60569.

Almost surely, 2113687712 is an apocalyptic number.

113687712 is a gapful number since it is divisible by the number (12) 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 113687712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174536208).

113687712 is an abundant number, since it is smaller than the sum of its proper divisors (235384704).

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

113687712 is a wasteful number, since it uses less digits than its factorization.

113687712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1935 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 113687712 is about 10662.4439975083. The cubic root of 113687712 is about 484.4375979979.

The spelling of 113687712 in words is "one hundred thirteen million, six hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 276 288 324 368 414 432 552 621 648 736 828 864 1104 1242 1296 1656 1863 1907 2208 2484 2592 3312 3726 3814 4968 5721 6624 7452 7628 9936 11442 14904 15256 17163 19872 22884 29808 30512 34326 43861 45768 51489 59616 61024 68652 87722 91536 102978 131583 137304 154467 175444 183072 205956 263166 274608 308934 350888 394749 411912 526332 549216 617868 701776 789498 823824 1052664 1184247 1235736 1403552 1578996 1647648 2105328 2368494 2471472 3157992 3552741 4210656 4736988 4942944 6315984 7105482 9473976 12631968 14210964 18947952 28421928 37895904 56843856 113687712