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136426836 = 223713177349
BaseRepresentation
bin10000010000110…
…11010101010100
3100111201012102210
420020123111110
5234411124321
621312033420
73244415610
oct1010332524
9314635383
10136426836
1170011557
1239832870
1322358b50
1414194340
15be9cb76
hex821b554

136426836 has 96 divisors (see below), whose sum is σ = 414892800. Its totient is φ = 33859584.

The previous prime is 136426813. The next prime is 136426837. The reversal of 136426836 is 638624631.

It is a super-2 number, since 2×1364268362 = 37224563161941792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 136426794 and 136426803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136426837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14890 + ... + 22238.

It is an arithmetic number, because the mean of its divisors is an integer number (4321800).

Almost surely, 2136426836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136426836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207446400).

136426836 is an abundant number, since it is smaller than the sum of its proper divisors (278465964).

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

136426836 is a wasteful number, since it uses less digits than its factorization.

136426836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7391 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 136426836 is about 11680.1898957166. The cubic root of 136426836 is about 514.7937540937.

The spelling of 136426836 in words is "one hundred thirty-six million, four hundred twenty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 6188 7349 9282 14698 18564 22047 29396 44094 51443 88188 95537 102886 124933 154329 191074 205772 249866 286611 308658 374799 382148 499732 573222 617316 668759 749598 874531 1146444 1337518 1499196 1624129 1749062 2006277 2623593 2675036 3248258 3498124 4012554 4872387 5247186 6496516 8025108 9744774 10494372 11368903 19489548 22737806 34106709 45475612 68213418 136426836