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27089964 = 2234112691
BaseRepresentation
bin110011101010…
…1110000101100
31212222022110000
41213111300230
523413334324
62404344300
7446155326
oct147256054
955868400
1027089964
1114323100
1290a5090
1357c6585
143852616
1525a19c9
hex19d5c2c

27089964 has 90 divisors (see below), whose sum is σ = 77954492. Its totient is φ = 8197200.

The previous prime is 27089963. The next prime is 27089977. The reversal of 27089964 is 46998072.

It is a happy number.

It is a super-2 number, since 2×270899642 = 1467732299042592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27089963) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 38859 + ... + 39549.

Almost surely, 227089964 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 27089964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38977246).

27089964 is an abundant number, since it is smaller than the sum of its proper divisors (50864528).

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

27089964 is a wasteful number, since it uses less digits than its factorization.

27089964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 27089964 is about 5204.8020135256. The cubic root of 27089964 is about 300.3328306094.

The spelling of 27089964 in words is "twenty-seven million, eighty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 691 726 891 1089 1188 1382 1452 1782 2073 2178 2764 3267 3564 4146 4356 6219 6534 7601 8292 9801 12438 13068 15202 18657 19602 22803 24876 30404 37314 39204 45606 55971 68409 74628 83611 91212 111942 136818 167222 205227 223884 250833 273636 334444 410454 501666 615681 752499 820908 1003332 1231362 1504998 2257497 2462724 3009996 4514994 6772491 9029988 13544982 27089964