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113093136 = 24321360413
BaseRepresentation
bin1101011110110…
…10101000010000
321212210201121200
412233122220100
5212422440021
615115551200
72542163412
oct657325020
9255721550
10113093136
1158924602
1231a5b500
131a579220
141103c9b2
159dde126
hex6bdaa10

113093136 has 60 divisors (see below), whose sum is σ = 340855788. Its totient is φ = 34797312.

The previous prime is 113093117. The next prime is 113093153. The reversal of 113093136 is 631390311.

It can be written as a sum of positive squares in 2 ways, for example, as 58982400 + 54110736 = 7680^2 + 7356^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28335 + ... + 32078.

Almost surely, 2113093136 is an apocalyptic number.

113093136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113093136 is an abundant number, since it is smaller than the sum of its proper divisors (227762652).

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

113093136 is a wasteful number, since it uses less digits than its factorization.

113093136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60440 (or 60431 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 113093136 is about 10634.5256593795. The cubic root of 113093136 is about 483.5916004838.

The spelling of 113093136 in words is "one hundred thirteen million, ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 60413 120826 181239 241652 362478 483304 543717 724956 785369 966608 1087434 1449912 1570738 2174868 2356107 2899824 3141476 4349736 4712214 6282952 7068321 8699472 9424428 12565904 14136642 18848856 28273284 37697712 56546568 113093136