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136920864 = 2538231733
BaseRepresentation
bin10000010100100…
…11111100100000
3100112122022010010
420022103330200
5240022431424
621330404520
73251544123
oct1012237440
9315568103
10136920864
1170319743
1239a30740
132249c982
14142823ba
15c049229
hex8293f20

136920864 has 48 divisors (see below), whose sum is σ = 360061632. Its totient is φ = 45558528.

The previous prime is 136920841. The next prime is 136920913. The reversal of 136920864 is 468029631.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 78142 + ... + 79874.

It is an arithmetic number, because the mean of its divisors is an integer number (7501284).

Almost surely, 2136920864 is an apocalyptic number.

It is an amenable number.

136920864 is an abundant number, since it is smaller than the sum of its proper divisors (223140768).

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

136920864 is a wasteful number, since it uses less digits than its factorization.

136920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 136920864 is about 11701.3189000215. The cubic root of 136920864 is about 515.4143948430.

The spelling of 136920864 in words is "one hundred thirty-six million, nine hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 823 1646 1733 2469 3292 3466 4938 5199 6584 6932 9876 10398 13168 13864 19752 20796 26336 27728 39504 41592 55456 79008 83184 166368 1426259 2852518 4278777 5705036 8557554 11410072 17115108 22820144 34230216 45640288 68460432 136920864