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152684136 = 233311179359
BaseRepresentation
bin10010001100111…
…00011001101000
3101122022011021000
421012130121220
5303041343021
623052315000
73532536153
oct1106343150
9348264230
10152684136
1179205940
1243172a60
132582b857
14163c6c9a
15d60eb26
hex919c668

152684136 has 128 divisors (see below), whose sum is σ = 466560000. Its totient is φ = 45881280.

The previous prime is 152684113. The next prime is 152684177. The reversal of 152684136 is 631486251.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152684136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425125 + ... + 425483.

It is an arithmetic number, because the mean of its divisors is an integer number (3645000).

Almost surely, 2152684136 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 152684136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233280000).

152684136 is an abundant number, since it is smaller than the sum of its proper divisors (313875864).

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

152684136 is a wasteful number, since it uses less digits than its factorization.

152684136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 152684136 is about 12356.5422347840. The cubic root of 152684136 is about 534.4798111433.

The spelling of 152684136 in words is "one hundred fifty-two million, six hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 179 198 216 264 297 358 359 396 537 594 716 718 792 1074 1077 1188 1432 1436 1611 1969 2148 2154 2376 2872 3222 3231 3938 3949 4296 4308 4833 5907 6444 6462 7876 7898 8616 9666 9693 11814 11847 12888 12924 15752 15796 17721 19332 19386 23628 23694 25848 31592 35442 35541 38664 38772 47256 47388 53163 64261 70884 71082 77544 94776 106326 106623 128522 141768 142164 192783 212652 213246 257044 284328 385566 425304 426492 514088 578349 706871 771132 852984 1156698 1413742 1542264 1735047 2120613 2313396 2827484 3470094 4241226 4626792 5654968 6361839 6940188 8482452 12723678 13880376 16964904 19085517 25447356 38171034 50894712 76342068 152684136