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113712576 = 2633491697
BaseRepresentation
bin1101100011100…
…01110111000000
321220222012022220
412301301313000
5213102300301
615141131040
72550353355
oct661616700
9256865286
10113712576
1159207a3a
12320b9a80
131a735163
141116062c
159eb2936
hex6c71dc0

113712576 has 56 divisors (see below), whose sum is σ = 301904400. Its totient is φ = 37773312.

The previous prime is 113712569. The next prime is 113712583. The reversal of 113712576 is 675217311.

It is an interprime number because it is at equal distance from previous prime (113712569) and next prime (113712583).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 66160 + ... + 67856.

It is an arithmetic number, because the mean of its divisors is an integer number (5391150).

Almost surely, 2113712576 is an apocalyptic number.

113712576 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 113712576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150952200).

113712576 is an abundant number, since it is smaller than the sum of its proper divisors (188191824).

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

113712576 is a wasteful number, since it uses less digits than its factorization.

113712576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 113712576 is about 10663.6098953403. The cubic root of 113712576 is about 484.4729116310.

Adding to 113712576 its reverse (675217311), we get a palindrome (788929887).

The spelling of 113712576 in words is "one hundred thirteen million, seven hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 349 698 1047 1396 1697 2094 2792 3394 4188 5091 5584 6788 8376 10182 11168 13576 16752 20364 22336 27152 33504 40728 54304 67008 81456 108608 162912 325824 592253 1184506 1776759 2369012 3553518 4738024 7107036 9476048 14214072 18952096 28428144 37904192 56856288 113712576