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136831680 = 263455279
BaseRepresentation
bin10000010011111…
…10001011000000
3100112110202210000
420021332023000
5240012103210
621324440000
73251023116
oct1011761300
9315422700
10136831680
1170268737
12399a9000
132246b1bb
141425bab6
15c02cac0
hex827e2c0

136831680 has 140 divisors (see below), whose sum is σ = 486826560. Its totient is φ = 36481536.

The previous prime is 136831663. The next prime is 136831687. The reversal of 136831680 is 86138631.

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

It is not an unprimeable number, because it can be changed into a prime (136831687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23281 + ... + 28559.

Almost surely, 2136831680 is an apocalyptic number.

136831680 is a gapful number since it is divisible by the number (10) 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 136831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243413280).

136831680 is an abundant number, since it is smaller than the sum of its proper divisors (349994880).

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

136831680 is an equidigital number, since it uses as much as digits as its factorization.

136831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136831680 is about 11697.5074267982. The cubic root of 136831680 is about 515.3024647351.

The spelling of 136831680 in words is "one hundred thirty-six million, eight hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 5279 6480 8640 10558 12960 15837 21116 25920 26395 31674 42232 47511 52790 63348 79185 84464 95022 105580 126696 142533 158370 168928 190044 211160 237555 253392 285066 316740 337856 380088 422320 427599 475110 506784 570132 633480 712665 760176 844640 855198 950220 1013568 1140264 1266960 1425330 1520352 1689280 1710396 1900440 2137995 2280528 2533920 2850660 3040704 3420792 3800880 4275990 4561056 5067840 5701320 6841584 7601760 8551980 9122112 11402640 13683168 15203520 17103960 22805280 27366336 34207920 45610560 68415840 136831680