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136949631 = 37132771811
BaseRepresentation
bin10000010100110…
…10111101111111
3100112200202120120
420022122331333
5240024342011
621331150023
73252024030
oct1012327577
9315622516
10136949631
1170339315
1239a45313
13224acab0
141428ca87
15c052a06
hex829af7f

136949631 has 32 divisors (see below), whose sum is σ = 225673728. Its totient is φ = 71936640.

The previous prime is 136949573. The next prime is 136949633.

136949631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 136949631 - 211 = 136947583 is a prime.

It is a super-2 number, since 2×1369496312 = 37510402862072322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136949633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74716 + ... + 76526.

It is an arithmetic number, because the mean of its divisors is an integer number (7052304).

Almost surely, 2136949631 is an apocalyptic number.

136949631 is a deficient number, since it is larger than the sum of its proper divisors (88724097).

136949631 is a wasteful number, since it uses less digits than its factorization.

136949631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111.

The product of its digits is 104976, while the sum is 42.

The square root of 136949631 is about 11702.5480558723. The cubic root of 136949631 is about 515.4504884112.

The spelling of 136949631 in words is "one hundred thirty-six million, nine hundred forty-nine thousand, six hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 277 831 1811 1939 3601 5433 5817 10803 12677 23543 25207 38031 70629 75621 164801 494403 501647 1504941 3511529 6521411 10534587 19564233 45649877 136949631