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113052032 = 276114479
BaseRepresentation
bin1101011110100…
…00100110000000
321212201122020022
412233100212000
5212420131112
615115033012
72541632522
oct657204600
9255648208
10113052032
11588a6735
1231a3b768
131a5635c2
141102ba12
159dd1d72
hex6bd0980

113052032 has 32 divisors (see below), whose sum is σ = 228928800. Its totient is φ = 55595520.

The previous prime is 113052013. The next prime is 113052041. The reversal of 113052032 is 230250311.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 113052032.

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 3 ways as a sum of consecutive naturals, for example, 569 + ... + 15047.

It is an arithmetic number, because the mean of its divisors is an integer number (7154025).

Almost surely, 2113052032 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 113052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114464400).

113052032 is an abundant number, since it is smaller than the sum of its proper divisors (115876768).

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

113052032 is an equidigital number, since it uses as much as digits as its factorization.

113052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14554 (or 14542 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 113052032 is about 10632.5929104805. The cubic root of 113052032 is about 483.5330058348.

The spelling of 113052032 in words is "one hundred thirteen million, fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 14479 28958 57916 115832 231664 463328 883219 926656 1766438 1853312 3532876 7065752 14131504 28263008 56526016 113052032