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136585969 = 132292312
BaseRepresentation
bin10000010010000…
…10001011110001
3100112000021201121
420021002023301
5234431222334
621315302241
73245650552
oct1011021361
9315007647
10136585969
1170110073
12398aa981
13223b3400
14141d6329
15becedb4
hex82422f1

136585969 has 27 divisors (see below), whose sum is σ = 158277249. Its totient is φ = 117804960.

The previous prime is 136585963. The next prime is 136585979. The reversal of 136585969 is 969585631.

The square root of 136585969 is 11687.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17514225 + 119071744 = 4185^2 + 10912^2 .

It is not a de Polignac number, because 136585969 - 23 = 136585961 is a prime.

It is a super-2 number, since 2×1365859692 = 37311453855337922, which contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 4405984 + ... + 4406014.

Almost surely, 2136585969 is an apocalyptic number.

136585969 is the 11687-th square number.

136585969 is the 5844-th centered octagonal number.

It is an amenable number.

136585969 is a deficient number, since it is larger than the sum of its proper divisors (21691280).

136585969 is an equidigital number, since it uses as much as digits as its factorization.

136585969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 52.

The cubic root of 136585969 is about 514.9938340921.

The spelling of 136585969 in words is "one hundred thirty-six million, five hundred eighty-five thousand, nine hundred sixty-nine".