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136585968 = 2434875843
BaseRepresentation
bin10000010010000…
…10001011110000
3100112000021201120
420021002023300
5234431222333
621315302240
73245650551
oct1011021360
9315007646
10136585968
1170110072
12398aa980
13223b33cc
14141d6328
15becedb3
hex82422f0

136585968 has 40 divisors (see below), whose sum is σ = 353632128. Its totient is φ = 45427392.

The previous prime is 136585963. The next prime is 136585979. The reversal of 136585968 is 869585631.

It is a Cunningham number, because it is equal to 116872-1.

It is a self number, because there is not a number n which added to its sum of digits gives 136585968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136585961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20455 + ... + 26297.

Almost surely, 2136585968 is an apocalyptic number.

It is an amenable number.

136585968 is an abundant number, since it is smaller than the sum of its proper divisors (217046160).

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

136585968 is a wasteful number, since it uses less digits than its factorization.

136585968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6335 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 136585968 is about 11686.9999572174. Note that the first 4 decimals coincide. The cubic root of 136585968 is about 514.9938328353.

The spelling of 136585968 in words is "one hundred thirty-six million, five hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 487 974 1461 1948 2922 3896 5843 5844 7792 11686 11688 17529 23372 23376 35058 46744 70116 93488 140232 280464 2845541 5691082 8536623 11382164 17073246 22764328 34146492 45528656 68292984 136585968