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113675136 = 273389761
BaseRepresentation
bin1101100011010…
…00101110000000
321220220021222020
412301220232000
5213100101021
615140241440
72550136251
oct661505600
9256807866
10113675136
11591918a3
12320a0280
131a7210c3
1411150b28
159ea67c6
hex6c68b80

113675136 has 64 divisors (see below), whose sum is σ = 303123600. Its totient is φ = 37744640.

The previous prime is 113675117. The next prime is 113675143. The reversal of 113675136 is 631576311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 113675097 and 113675106.

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 7 ways as a sum of consecutive naturals, for example, 148996 + ... + 149756.

Almost surely, 2113675136 is an apocalyptic number.

113675136 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 113675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151561800).

113675136 is an abundant number, since it is smaller than the sum of its proper divisors (189448464).

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

113675136 is an equidigital number, since it uses as much as digits as its factorization.

113675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1155 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 113675136 is about 10661.8542477376. The cubic root of 113675136 is about 484.4197347015.

The spelling of 113675136 in words is "one hundred thirteen million, six hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 389 761 778 1167 1522 1556 2283 2334 3044 3112 4566 4668 6088 6224 9132 9336 12176 12448 18264 18672 24352 24896 36528 37344 48704 49792 73056 74688 97408 146112 149376 292224 296029 592058 888087 1184116 1776174 2368232 3552348 4736464 7104696 9472928 14209392 18945856 28418784 37891712 56837568 113675136