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113042432 = 2101011093
BaseRepresentation
bin1101011110011…
…10010000000000
321212201011001202
412233032100000
5212414324212
615114520332
72541562526
oct657162000
9255634052
10113042432
115889a4a8
1231a360a8
131a55c119
1411028316
159dce0c2
hex6bce400

113042432 has 44 divisors (see below), whose sum is σ = 228420636. Its totient is φ = 55910400.

The previous prime is 113042411. The next prime is 113042441. The reversal of 113042432 is 234240311.

It can be written as a sum of positive squares in 2 ways, for example, as 110166016 + 2876416 = 10496^2 + 1696^2 .

It is a super-3 number, since 3×1130424323 (a number of 25 digits) contains 333 as substring.

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, 102878 + ... + 103970.

Almost surely, 2113042432 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 113042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114210318).

113042432 is an abundant number, since it is smaller than the sum of its proper divisors (115378204).

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

113042432 is a wasteful number, since it uses less digits than its factorization.

113042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 113042432 is about 10632.1414588031. The cubic root of 113042432 is about 483.5193187795.

Adding to 113042432 its reverse (234240311), we get a palindrome (347282743).

The spelling of 113042432 in words is "one hundred thirteen million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1093 1616 2186 3232 4372 6464 8744 12928 17488 25856 34976 51712 69952 103424 110393 139904 220786 279808 441572 559616 883144 1119232 1766288 3532576 7065152 14130304 28260608 56521216 113042432