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136100832 = 2537228933
BaseRepresentation
bin10000001110010…
…11101111100000
3100111002122020120
420013023233200
5234320211312
621301040240
73241560300
oct1007135740
9314078216
10136100832
116a90962a
12396b6080
132227364a
141410b600
15be3628c
hex81cbbe0

136100832 has 72 divisors (see below), whose sum is σ = 415607976. Its totient is φ = 38884608.

The previous prime is 136100831. The next prime is 136100843. The reversal of 136100832 is 238001631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136100831) by changing a digit.

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, 9763 + ... + 19170.

It is an arithmetic number, because the mean of its divisors is an integer number (5772333).

Almost surely, 2136100832 is an apocalyptic number.

136100832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136100832 is an abundant number, since it is smaller than the sum of its proper divisors (279507144).

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

136100832 is a wasteful number, since it uses less digits than its factorization.

136100832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28960 (or 28945 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 136100832 is about 11666.2261250157. The cubic root of 136100832 is about 514.3833786302.

The spelling of 136100832 in words is "one hundred thirty-six million, one hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 28933 57866 86799 115732 173598 202531 231464 347196 405062 462928 607593 694392 810124 925856 1215186 1388784 1417717 1620248 2430372 2777568 2835434 3240496 4253151 4860744 5670868 6480992 8506302 9721488 11341736 17012604 19442976 22683472 34025208 45366944 68050416 136100832