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27691368 = 23317671013
BaseRepresentation
bin110100110100…
…0100101101000
31221002212102020
41221220211220
524042110433
62425304440
7454241565
oct151504550
957085366
1027691368
11146a3a31
129335120
135977233
14396b86c
15266ecb3
hex1a68968

27691368 has 64 divisors (see below), whose sum is σ = 74468160. Its totient is φ = 8549376.

The previous prime is 27691361. The next prime is 27691369. The reversal of 27691368 is 86319672.

It is a happy number.

It is a super-2 number, since 2×276913682 = 1533623723422848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27691361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26830 + ... + 27842.

It is an arithmetic number, because the mean of its divisors is an integer number (1163565).

Almost surely, 227691368 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 27691368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

27691368 is an abundant number, since it is smaller than the sum of its proper divisors (46776792).

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

27691368 is a wasteful number, since it uses less digits than its factorization.

27691368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1102 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 27691368 is about 5262.2588305784. The cubic root of 27691368 is about 302.5390719743.

The spelling of 27691368 in words is "twenty-seven million, six hundred ninety-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 67 68 102 134 136 201 204 268 402 408 536 804 1013 1139 1608 2026 2278 3039 3417 4052 4556 6078 6834 8104 9112 12156 13668 17221 24312 27336 34442 51663 67871 68884 103326 135742 137768 203613 206652 271484 407226 413304 542968 814452 1153807 1628904 2307614 3461421 4615228 6922842 9230456 13845684 27691368