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136365732 = 22323787937
BaseRepresentation
bin10000010000011…
…00011010100100
3100111121002121200
420020030122210
5234402200412
621310442500
73244042506
oct1010143244
9314532550
10136365732
116aa7a658
1239803430
13223370a9
1414179d76
15be899dc
hex820c6a4

136365732 has 18 divisors (see below), whose sum is σ = 344702358. Its totient is φ = 45455232.

The previous prime is 136365727. The next prime is 136365739. The reversal of 136365732 is 237563631.

136365732 is a `hidden beast` number, since 13 + 636 + 5 + 7 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126023076 + 10342656 = 11226^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1363657322 = 37191225727791648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3787937 = 136365732 / (1 + 3 + 6 + 3 + 6 + 5 + 7 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (136365739) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1893933 + ... + 1894004.

It is an arithmetic number, because the mean of its divisors is an integer number (19150131).

Almost surely, 2136365732 is an apocalyptic number.

136365732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136365732 is an abundant number, since it is smaller than the sum of its proper divisors (208336626).

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

136365732 is a wasteful number, since it uses less digits than its factorization.

136365732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787947 (or 3787942 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 136365732 is about 11677.5738918664. The cubic root of 136365732 is about 514.7168858961.

The spelling of 136365732 in words is "one hundred thirty-six million, three hundred sixty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3787937 7575874 11363811 15151748 22727622 34091433 45455244 68182866 136365732