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113732096 = 291911163
BaseRepresentation
bin1101100011101…
…10101000000000
321221000012002212
412301312220000
5213103411341
615141401252
72550464312
oct661665000
9257005085
10113732096
1159220675
1232109228
131a740cca
14111677b2
159eb85eb
hex6c76a00

113732096 has 40 divisors (see below), whose sum is σ = 228628224. Its totient is φ = 56519680.

The previous prime is 113732089. The next prime is 113732107. The reversal of 113732096 is 690237311.

It is a happy number.

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

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, 97211 + ... + 98373.

Almost surely, 2113732096 is an apocalyptic number.

113732096 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 113732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114314112).

113732096 is an abundant number, since it is smaller than the sum of its proper divisors (114896128).

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

113732096 is an equidigital number, since it uses as much as digits as its factorization.

113732096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 113732096 is about 10664.5251183538. The cubic root of 113732096 is about 484.5006317258.

It can be divided in two parts, 1137 and 32096, that added together give a palindrome (33233).

The spelling of 113732096 in words is "one hundred thirteen million, seven hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 512 764 1163 1528 2326 3056 4652 6112 9304 12224 18608 24448 37216 48896 74432 97792 148864 222133 297728 444266 595456 888532 1777064 3554128 7108256 14216512 28433024 56866048 113732096