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113784132 = 223711123143
BaseRepresentation
bin1101100100000…
…11010101000100
321221002211111010
412302003111010
5213112043012
615142442220
72551102110
oct662032504
9257084433
10113784132
1159256780
1232133370
131a75b8b7
141117c740
159ec8c3c
hex6c83544

113784132 has 48 divisors (see below), whose sum is σ = 331011072. Its totient is φ = 29554080.

The previous prime is 113784127. The next prime is 113784161. The reversal of 113784132 is 231487311.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113784132.

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 15 ways as a sum of consecutive naturals, for example, 60648 + ... + 62495.

It is an arithmetic number, because the mean of its divisors is an integer number (6896064).

Almost surely, 2113784132 is an apocalyptic number.

113784132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113784132 is an abundant number, since it is smaller than the sum of its proper divisors (217226940).

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

113784132 is a wasteful number, since it uses less digits than its factorization.

113784132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123168 (or 123166 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 113784132 is about 10666.9645166748. The cubic root of 113784132 is about 484.5745118696.

The spelling of 113784132 in words is "one hundred thirteen million, seven hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 123143 246286 369429 492572 738858 862001 1354573 1477716 1724002 2586003 2709146 3448004 4063719 5172006 5418292 8127438 9482011 10344012 16254876 18964022 28446033 37928044 56892066 113784132