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113386784 = 257272313
BaseRepresentation
bin1101100001000…
…10010100100000
321220100122102112
412300202110200
5213011334114
615130134452
72544525500
oct660422440
9256318375
10113386784
1159005195
1231b81428
131a64ca94
14110b7a00
159e4b13e
hex6c22520

113386784 has 36 divisors (see below), whose sum is σ = 259679574. Its totient is φ = 48593664.

The previous prime is 113386733. The next prime is 113386789. The reversal of 113386784 is 487683311.

It can be written as a sum of positive squares in only one way, i.e., 70090384 + 43296400 = 8372^2 + 6580^2 .

It is not an unprimeable number, because it can be changed into a prime (113386789) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34589 + ... + 37724.

Almost surely, 2113386784 is an apocalyptic number.

113386784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113386784 is an abundant number, since it is smaller than the sum of its proper divisors (146292790).

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

113386784 is an equidigital number, since it uses as much as digits as its factorization.

113386784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72337 (or 72322 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 113386784 is about 10648.3230604636. The cubic root of 113386784 is about 484.0097896615.

The spelling of 113386784 in words is "one hundred thirteen million, three hundred eighty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 72313 144626 289252 506191 578504 1012382 1157008 2024764 2314016 3543337 4049528 7086674 8099056 14173348 16198112 28346696 56693392 113386784