Search a number
-
+
18054 = 2321759
BaseRepresentation
bin100011010000110
3220202200
410122012
51034204
6215330
7103431
oct43206
926680
1018054
1112623
12a546
1382aa
146818
155539
hex4686

18054 has 24 divisors (see below), whose sum is σ = 42120. Its totient is φ = 5568.

The previous prime is 18049. The next prime is 18059. The reversal of 18054 is 45081.

It is an interprime number because it is at equal distance from previous prime (18049) and next prime (18059).

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

18054 is a modest number, since divided by 54 gives 18 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18059) by changing a digit.

18054 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, 277 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

218054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060).

18054 is an abundant number, since it is smaller than the sum of its proper divisors (24066).

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

18054 is a wasteful number, since it uses less digits than its factorization.

18054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 18054 is about 134.3651740594. The cubic root of 18054 is about 26.2335951922.

The spelling of 18054 in words is "eighteen thousand, fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 2006 3009 6018 9027 18054