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136424631 = 379197069
BaseRepresentation
bin10000010000110…
…10110010110111
3100111201002102010
420020122302313
5234411042011
621312015303
73244406310
oct1010326267
9314632363
10136424631
117000a932
1239831533
1322357b45
1414193607
15be9c1a6
hex821acb7

136424631 has 16 divisors (see below), whose sum is σ = 208140800. Its totient is φ = 77861088.

The previous prime is 136424627. The next prime is 136424641.

136424631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136424631 - 22 = 136424627 is a prime.

It is a super-2 number, since 2×1364246312 = 37223359886972322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136424621) 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 15 ways as a sum of consecutive naturals, for example, 15765 + ... + 22833.

It is an arithmetic number, because the mean of its divisors is an integer number (13008800).

Almost surely, 2136424631 is an apocalyptic number.

136424631 is a deficient number, since it is larger than the sum of its proper divisors (71716169).

136424631 is an equidigital number, since it uses as much as digits as its factorization.

136424631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998.

The product of its digits is 10368, while the sum is 30.

The square root of 136424631 is about 11680.0955047465. The cubic root of 136424631 is about 514.7909806259.

The spelling of 136424631 in words is "one hundred thirty-six million, four hundred twenty-four thousand, six hundred thirty-one".

Divisors: 1 3 7 21 919 2757 6433 7069 19299 21207 49483 148449 6496411 19489233 45474877 136424631