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18162 = 2321009
BaseRepresentation
bin100011011110010
3220220200
410123302
51040122
6220030
7103644
oct43362
926820
1018162
1112711
12a616
138361
146894
1555ac
hex46f2

18162 has 12 divisors (see below), whose sum is σ = 39390. Its totient is φ = 6048.

The previous prime is 18149. The next prime is 18169. The reversal of 18162 is 26181.

18162 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16641 + 1521 = 129^2 + 39^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1009 = 18162 / (1 + 8 + 1 + 6 + 2).

18162 is a modest number, since divided by 162 gives 18 as remainder.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (18169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 487 + ... + 522.

218162 is an apocalyptic number.

18162 is an abundant number, since it is smaller than the sum of its proper divisors (21228).

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

18162 is a wasteful number, since it uses less digits than its factorization.

18162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1014 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 18162 is about 134.7664646713. The cubic root of 18162 is about 26.2858014895.

It can be divided in two parts, 181 and 62, that added together give a 5-th power (243 = 35).

The spelling of 18162 in words is "eighteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 1009 2018 3027 6054 9081 18162