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18326 = 2721117
BaseRepresentation
bin100011110010110
3221010202
410132112
51041301
6220502
7104300
oct43626
927122
1018326
1112850
12a732
138459
146970
15566b
hex4796

18326 has 24 divisors (see below), whose sum is σ = 36936. Its totient is φ = 6720.

The previous prime is 18313. The next prime is 18329. The reversal of 18326 is 62381.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 18298 and 18307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18329) by changing a digit.

18326 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1070 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (1539).

218326 is an apocalyptic number.

18326 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18468).

18326 is a wasteful number, since it uses less digits than its factorization.

18326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 37 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 18326 is about 135.3735572407. The cubic root of 18326 is about 26.3646834161.

The spelling of 18326 in words is "eighteen thousand, three hundred twenty-six".

Divisors: 1 2 7 11 14 17 22 34 49 77 98 119 154 187 238 374 539 833 1078 1309 1666 2618 9163 18326