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113348032 = 2675032
BaseRepresentation
bin1101100000110…
…00110111000000
321220021200021021
412300120313000
5213004114112
615125235224
72544304510
oct660306700
9256250237
10113348032
1158a89066
1231b62b14
131a638255
14110a7840
159e3e907
hex6c18dc0

113348032 has 42 divisors (see below), whose sum is σ = 257569208. Its totient is φ = 48481152.

The previous prime is 113348029. The next prime is 113348041. The reversal of 113348032 is 230843311.

It is a junction number, because it is equal to n+sod(n) for n = 113347988 and 113348006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 225093 + ... + 225595.

Almost surely, 2113348032 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 113348032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128784604).

113348032 is an abundant number, since it is smaller than the sum of its proper divisors (144221176).

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

113348032 is an frugal number, since it uses more digits than its factorization.

113348032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 113348032 is about 10646.5032757239. The cubic root of 113348032 is about 483.9546436563.

The spelling of 113348032 in words is "one hundred thirteen million, three hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 503 1006 2012 3521 4024 7042 8048 14084 16096 28168 32192 56336 112672 225344 253009 506018 1012036 1771063 2024072 3542126 4048144 7084252 8096288 14168504 16192576 28337008 56674016 113348032