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136684746 = 23411219367
BaseRepresentation
bin10000010010110…
…10010011001010
3100112012022020000
420021122103022
5234442402441
621321343430
73246541542
oct1011322312
9315168200
10136684746
1170178300
1239937b76
1322419363
1414220322
15beee2b6
hex825a4ca

136684746 has 120 divisors (see below), whose sum is σ = 355333440. Its totient is φ = 39132720.

The previous prime is 136684741. The next prime is 136684759. The reversal of 136684746 is 647486631.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (136684741) 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 59 ways as a sum of consecutive naturals, for example, 372255 + ... + 372621.

It is an arithmetic number, because the mean of its divisors is an integer number (2961112).

Almost surely, 2136684746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136684746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666720).

136684746 is an abundant number, since it is smaller than the sum of its proper divisors (218648694).

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

136684746 is a wasteful number, since it uses less digits than its factorization.

136684746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 402 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 136684746 is about 11691.2251710417. The cubic root of 136684746 is about 515.1179495449.

The spelling of 136684746 in words is "one hundred thirty-six million, six hundred eighty-four thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 121 162 171 198 209 242 297 342 363 367 418 513 594 627 726 734 891 1026 1089 1101 1254 1539 1782 1881 2178 2202 2299 3078 3267 3303 3762 4037 4598 5643 6534 6606 6897 6973 8074 9801 9909 11286 12111 13794 13946 16929 19602 19818 20691 20919 24222 29727 33858 36333 41382 41838 44407 59454 62073 62757 72666 76703 88814 108999 124146 125514 133221 153406 186219 188271 217998 230109 266442 326997 372438 376542 399663 460218 564813 653994 690327 799326 843733 1129626 1198989 1380654 1687466 2070981 2397978 2531199 3596967 4141962 5062398 6212943 7193934 7593597 12425886 15187194 22780791 45561582 68342373 136684746