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27055134 = 235179311
BaseRepresentation
bin110011100110…
…1010000011110
31212220112200000
41213031100132
523411231014
62403515130
7445651641
oct147152036
955815600
1027055134
11142a9a17
129088aa6
1357b3772
143843a58
152596509
hex19cd41e

27055134 has 48 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 8939160.

The previous prime is 27055117. The next prime is 27055141. The reversal of 27055134 is 43155072.

It is a happy number.

It is a super-3 number, since 3×270551343 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27055098 and 27055107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86839 + ... + 87149.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 227055134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27055134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

27055134 is an abundant number, since it is smaller than the sum of its proper divisors (34271586).

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

27055134 is a wasteful number, since it uses less digits than its factorization.

27055134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 27055134 is about 5201.4549887507. The cubic root of 27055134 is about 300.2040611653.

The spelling of 27055134 in words is "twenty-seven million, fifty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 311 358 486 537 622 933 1074 1611 1866 2799 3222 4833 5598 8397 9666 14499 16794 25191 28998 43497 50382 55669 75573 86994 111338 151146 167007 334014 501021 1002042 1503063 3006126 4509189 9018378 13527567 27055134