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27018 = 2321979
BaseRepresentation
bin110100110001010
31101001200
412212022
51331033
6325030
7141525
oct64612
941050
1027018
1119332
1213776
13c3b4
149bbc
158013
hex698a

27018 has 24 divisors (see below), whose sum is σ = 62400. Its totient is φ = 8424.

The previous prime is 27017. The next prime is 27031. The reversal of 27018 is 81072.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (27011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 303 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (2600).

227018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31200).

27018 is an abundant number, since it is smaller than the sum of its proper divisors (35382).

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

27018 is a wasteful number, since it uses less digits than its factorization.

27018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 27018 is about 164.3715303816. The cubic root of 27018 is about 30.0066651857.

Subtracting from 27018 its sum of digits (18), we obtain a cube (27000 = 303).

The spelling of 27018 in words is "twenty-seven thousand, eighteen".

Divisors: 1 2 3 6 9 18 19 38 57 79 114 158 171 237 342 474 711 1422 1501 3002 4503 9006 13509 27018