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27134052 = 223111931349
BaseRepresentation
bin110011110000…
…0100001100100
31220001112220220
41213200201210
523421242202
62405324340
7446431011
oct147404144
956045826
1027134052
1114353240
1291066b0
13581066a
143864708
1525aeabc
hex19e0864

27134052 has 96 divisors (see below), whose sum is σ = 75264000. Its totient is φ = 7516800.

The previous prime is 27134017. The next prime is 27134077. The reversal of 27134052 is 25043172.

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, 77574 + ... + 77922.

It is an arithmetic number, because the mean of its divisors is an integer number (784000).

Almost surely, 227134052 is an apocalyptic number.

27134052 is a gapful number since it is divisible by the number (22) 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 27134052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37632000).

27134052 is an abundant number, since it is smaller than the sum of its proper divisors (48129948).

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

27134052 is a wasteful number, since it uses less digits than its factorization.

27134052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 27134052 is about 5209.0356113200. The cubic root of 27134052 is about 300.4956694771.

The spelling of 27134052 in words is "twenty-seven million, one hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 57 62 66 76 93 114 124 132 186 209 228 341 349 372 418 589 627 682 698 836 1023 1047 1178 1254 1364 1396 1767 2046 2094 2356 2508 3534 3839 4092 4188 6479 6631 7068 7678 10819 11517 12958 13262 15356 19437 19893 21638 23034 25916 26524 32457 38874 39786 43276 46068 64914 72941 77748 79572 119009 129828 145882 205561 218823 238018 291764 357027 411122 437646 476036 616683 714054 822244 875292 1233366 1428108 2261171 2466732 4522342 6783513 9044684 13567026 27134052