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136805968 = 24138112
BaseRepresentation
bin10000010011101…
…11111001010000
3100112102110111201
420021313321100
5240010242333
621324120544
73250555135
oct1011677120
9315373451
10136805968
1170250392
1239996154
132245c5a0
141425258c
15c02517d
hex8277e50

136805968 has 30 divisors (see below), whose sum is σ = 285803322. Its totient is φ = 63063360.

The previous prime is 136805951. The next prime is 136805969. The reversal of 136805968 is 869508631.

It can be written as a sum of positive squares in only one way, i.e., 94711824 + 42094144 = 9732^2 + 6488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136805969) 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 5 ways as a sum of consecutive naturals, for example, 168283 + ... + 169093.

Almost surely, 2136805968 is an apocalyptic number.

It is an amenable number.

136805968 is an abundant number, since it is smaller than the sum of its proper divisors (148997354).

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

136805968 is an frugal number, since it uses more digits than its factorization.

136805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 136805968 is about 11696.4083376052. The cubic root of 136805968 is about 515.2701859360.

The spelling of 136805968 in words is "one hundred thirty-six million, eight hundred five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 811 1622 3244 6488 10543 12976 21086 42172 84344 168688 657721 1315442 2630884 5261768 8550373 10523536 17100746 34201492 68402984 136805968