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113505696 = 25321920743
BaseRepresentation
bin1101100001111…
…11010110100000
321220120200112200
412300333112200
5213024140241
615132453200
72545532253
oct660772640
9256520480
10113505696
1159086567
123201a200
131a691c45
141110909a
159e714b6
hex6c3f5a0

113505696 has 72 divisors (see below), whose sum is σ = 339786720. Its totient is φ = 35842176.

The previous prime is 113505661. The next prime is 113505697. The reversal of 113505696 is 696505311.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113505696.

It is not an unprimeable number, because it can be changed into a prime (113505697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4900 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (4719260).

Almost surely, 2113505696 is an apocalyptic number.

113505696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113505696 is an abundant number, since it is smaller than the sum of its proper divisors (226281024).

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

113505696 is a wasteful number, since it uses less digits than its factorization.

113505696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20778 (or 20767 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 113505696 is about 10653.9051995031. The cubic root of 113505696 is about 484.1789289035.

The spelling of 113505696 in words is "one hundred thirteen million, five hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 20743 41486 62229 82972 124458 165944 186687 248916 331888 373374 394117 497832 663776 746748 788234 995664 1182351 1493496 1576468 1991328 2364702 2986992 3152936 3547053 4729404 5973984 6305872 7094106 9458808 12611744 14188212 18917616 28376424 37835232 56752848 113505696