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27068964 = 223131759173
BaseRepresentation
bin110011101000…
…0101000100100
31212221020122020
41213100220210
523412201324
62404103140
7446040156
oct147205044
955836566
1027068964
111430934a
129094ab0
1357b9b50
143848ad6
15259a679
hex19d0a24

27068964 has 96 divisors (see below), whose sum is σ = 73664640. Its totient is φ = 7661568.

The previous prime is 27068903. The next prime is 27068969. The reversal of 27068964 is 46986072.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27068969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156382 + ... + 156554.

It is an arithmetic number, because the mean of its divisors is an integer number (767340).

Almost surely, 227068964 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 27068964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832320).

27068964 is an abundant number, since it is smaller than the sum of its proper divisors (46595676).

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

27068964 is a wasteful number, since it uses less digits than its factorization.

27068964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 27068964 is about 5202.7842546083. The cubic root of 27068964 is about 300.2552050619.

The spelling of 27068964 in words is "twenty-seven million, sixty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 59 68 78 102 118 156 173 177 204 221 236 346 354 442 519 663 692 708 767 884 1003 1038 1326 1534 2006 2076 2249 2301 2652 2941 3009 3068 4012 4498 4602 5882 6018 6747 8823 8996 9204 10207 11764 12036 13039 13494 17646 20414 26078 26988 30621 35292 38233 39117 40828 52156 61242 76466 78234 114699 122484 132691 152932 156468 173519 229398 265382 347038 398073 458796 520557 530764 694076 796146 1041114 1592292 2082228 2255747 4511494 6767241 9022988 13534482 27068964