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136264032 = 253452571
BaseRepresentation
bin10000001111100…
…11100101100000
3100111101221010000
420013303211200
5234340422112
621304340000
73243140142
oct1007634540
9314357100
10136264032
116aa10203
1239774600
13222cca08
1414150c92
15be697dc
hex81f3960

136264032 has 60 divisors (see below), whose sum is σ = 400756356. Its totient is φ = 45420480.

The previous prime is 136264031. The next prime is 136264043. The reversal of 136264032 is 230462631.

136264032 is a `hidden beast` number, since 1 + 3 + 626 + 4 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136263987 and 136264005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136264031) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23694 + ... + 28877.

Almost surely, 2136264032 is an apocalyptic number.

136264032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136264032 is an abundant number, since it is smaller than the sum of its proper divisors (264492324).

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

136264032 is an equidigital number, since it uses as much as digits as its factorization.

136264032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52593 (or 52576 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136264032 is about 11673.2185792951. The cubic root of 136264032 is about 514.5888974220.

The spelling of 136264032 in words is "one hundred thirty-six million, two hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 52571 105142 157713 210284 315426 420568 473139 630852 841136 946278 1261704 1419417 1682272 1892556 2523408 2838834 3785112 4258251 5046816 5677668 7570224 8516502 11355336 15140448 17033004 22710672 34066008 45421344 68132016 136264032