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135404592 = 24317243227
BaseRepresentation
bin10000001001000…
…01110000110000
3100102210021011220
420010201300300
5234130421332
621234105040
73232630401
oct1004416060
9312707156
10135404592
116a483524
123941b180
132208b77b
1413da99a8
15bd49d2c
hex8121c30

135404592 has 120 divisors (see below), whose sum is σ = 381898176. Its totient is φ = 41309184.

The previous prime is 135404579. The next prime is 135404593. The reversal of 135404592 is 295404531.

It is not an unprimeable number, because it can be changed into a prime (135404593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596383 + ... + 596609.

Almost surely, 2135404592 is an apocalyptic number.

135404592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135404592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190949088).

135404592 is an abundant number, since it is smaller than the sum of its proper divisors (246493584).

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

135404592 is a wasteful number, since it uses less digits than its factorization.

135404592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 135404592 is about 11636.3478806712. The cubic root of 135404592 is about 513.5047488853.

The spelling of 135404592 in words is "one hundred thirty-five million, four hundred four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 227 258 272 289 344 408 454 516 578 681 688 731 816 867 908 1032 1156 1362 1462 1734 1816 2064 2193 2312 2724 2924 3468 3632 3859 4386 4624 5448 5848 6936 7718 8772 9761 10896 11577 11696 12427 13872 15436 17544 19522 23154 24854 29283 30872 35088 37281 39044 46308 49708 58566 61744 65603 74562 78088 92616 99416 117132 131206 149124 156176 165937 185232 196809 198832 234264 262412 298248 331874 393618 468528 497811 524824 596496 663748 787236 995622 1049648 1327496 1574472 1991244 2654992 2820929 3148944 3982488 5641858 7964976 8462787 11283716 16925574 22567432 33851148 45134864 67702296 135404592