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136834632 = 2332111710163
BaseRepresentation
bin10000010011111…
…10111001001000
3100112110220211100
420021332321020
5240012202012
621324501400
73251034534
oct1011767110
9315426740
10136834632
117026a980
12399aa860
132246c64c
141425cbc4
15c02d8dc
hex827ee48

136834632 has 96 divisors (see below), whose sum is σ = 428107680. Its totient is φ = 39022080.

The previous prime is 136834627. The next prime is 136834639. The reversal of 136834632 is 236438631.

136834632 is a `hidden beast` number, since 13 + 6 + 8 + 3 + 4 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136834639) 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 23 ways as a sum of consecutive naturals, for example, 8383 + ... + 18545.

It is an arithmetic number, because the mean of its divisors is an integer number (4459455).

Almost surely, 2136834632 is an apocalyptic number.

136834632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136834632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214053840).

136834632 is an abundant number, since it is smaller than the sum of its proper divisors (291273048).

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

136834632 is a wasteful number, since it uses less digits than its factorization.

136834632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10203 (or 10196 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 136834632 is about 11697.6336068454. The cubic root of 136834632 is about 515.3061704119.

The spelling of 136834632 in words is "one hundred thirty-six million, eight hundred thirty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 374 396 408 561 612 748 792 1122 1224 1496 1683 2244 3366 4488 6732 10163 13464 20326 30489 40652 60978 81304 91467 111793 121956 172771 182934 223586 243912 335379 345542 365868 447172 518313 670758 691084 731736 894344 1006137 1036626 1341516 1382168 1554939 1900481 2012274 2073252 2683032 3109878 3800962 4024548 4146504 5701443 6219756 7601924 8049096 11402886 12439512 15203848 17104329 22805772 34208658 45611544 68417316 136834632