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113738432 = 2617107977
BaseRepresentation
bin1101100011110…
…00001011000000
321221000111210112
412301320023000
5213104112212
615141450452
72550521633
oct661701300
9257014715
10113738432
1159225405
1232110a28
131a743b62
1411169c1a
159eba422
hex6c782c0

113738432 has 56 divisors (see below), whose sum is σ = 241456464. Its totient is φ = 52969472.

The previous prime is 113738431. The next prime is 113738441. The reversal of 113738432 is 234837311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (113738431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 115928 + ... + 116904.

Almost surely, 2113738432 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 113738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120728232).

113738432 is an abundant number, since it is smaller than the sum of its proper divisors (127718032).

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

113738432 is a wasteful number, since it uses less digits than its factorization.

113738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1103 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 113738432 is about 10664.8221738574. The cubic root of 113738432 is about 484.5096287141.

The spelling of 113738432 in words is "one hundred thirteen million, seven hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 136 214 272 428 544 856 977 1088 1712 1819 1954 3424 3638 3908 6848 7276 7816 14552 15632 16609 29104 31264 33218 58208 62528 66436 104539 116416 132872 209078 265744 418156 531488 836312 1062976 1672624 1777163 3345248 3554326 6690496 7108652 14217304 28434608 56869216 113738432