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136904724 = 223211253593
BaseRepresentation
bin10000010100100…
…00000000010100
3100112121110222100
420022100000110
5240021422344
621330202100
73251446065
oct1012200024
9315543870
10136904724
1170308600
1239a23330
1322495518
141427a56c
15c044569
hex8290014

136904724 has 108 divisors (see below), whose sum is σ = 388215828. Its totient is φ = 40634880.

The previous prime is 136904707. The next prime is 136904731. The reversal of 136904724 is 427409631.

It can be written as a sum of positive squares in 2 ways, for example, as 91584900 + 45319824 = 9570^2 + 6732^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230572 + ... + 231164.

It is an arithmetic number, because the mean of its divisors is an integer number (3594591).

Almost surely, 2136904724 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 136904724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194107914).

136904724 is an abundant number, since it is smaller than the sum of its proper divisors (251311104).

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

136904724 is a wasteful number, since it uses less digits than its factorization.

136904724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 136904724 is about 11700.6292138500. The cubic root of 136904724 is about 515.3941419879.

The spelling of 136904724 in words is "one hundred thirty-six million, nine hundred four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 121 132 159 198 212 242 318 363 396 477 484 583 593 636 726 954 1089 1166 1186 1452 1749 1779 1908 2178 2332 2372 3498 3558 4356 5247 5337 6413 6523 6996 7116 10494 10674 12826 13046 19239 19569 20988 21348 25652 26092 31429 38478 39138 57717 58707 62858 71753 76956 78276 94287 115434 117414 125716 143506 188574 215259 230868 234828 282861 287012 345719 377148 430518 565722 645777 691438 861036 1037157 1131444 1291554 1382876 2074314 2583108 3111471 3802909 4148628 6222942 7605818 11408727 12445884 15211636 22817454 34226181 45634908 68452362 136904724