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136788936 = 233171791873
BaseRepresentation
bin10000010011100…
…11101111001000
3100112101121010220
420021303233020
5240004221221
621323510040
73250454364
oct1011635710
9315347126
10136788936
1170239609
1239988320
13224548cb
141424a2a4
15c0200c6
hex8273bc8

136788936 has 64 divisors (see below), whose sum is σ = 364305600. Its totient is φ = 42651648.

The previous prime is 136788931. The next prime is 136788959. The reversal of 136788936 is 639887631.

It is a super-2 number, since 2×1367889362 = 37422426024024192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (136788931) 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 15 ways as a sum of consecutive naturals, for example, 72096 + ... + 73968.

It is an arithmetic number, because the mean of its divisors is an integer number (5692275).

Almost surely, 2136788936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136788936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182152800).

136788936 is an abundant number, since it is smaller than the sum of its proper divisors (227516664).

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

136788936 is a wasteful number, since it uses less digits than its factorization.

With its successor (136788937) it forms an eRAP, since the sums of their prime factors are consecutive (2078 and 2079).

136788936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2074 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 136788936 is about 11695.6802281868. The cubic root of 136788936 is about 515.2488017664.

The spelling of 136788936 in words is "one hundred thirty-six million, seven hundred eighty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 179 204 358 408 537 716 1074 1432 1873 2148 3043 3746 4296 5619 6086 7492 9129 11238 12172 14984 18258 22476 24344 31841 36516 44952 63682 73032 95523 127364 191046 254728 335267 382092 670534 764184 1005801 1341068 2011602 2682136 4023204 5699539 8046408 11399078 17098617 22798156 34197234 45596312 68394468 136788936