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18468 = 223519
BaseRepresentation
bin100100000100100
3221100000
410200210
51042333
6221300
7104562
oct44044
927300
1018468
111296a
12a830
138538
146a32
155713
hex4824

18468 has 36 divisors (see below), whose sum is σ = 50960. Its totient is φ = 5832.

The previous prime is 18461. The next prime is 18481. The reversal of 18468 is 86481.

18468 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1536) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 3 and base 12.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (18461) by changing a digit.

18468 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, 963 + ... + 981.

218468 is an apocalyptic number.

18468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25480).

18468 is an abundant number, since it is smaller than the sum of its proper divisors (32492).

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

18468 is a wasteful number, since it uses less digits than its factorization.

18468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 24 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 18468 is about 135.8970198349. The cubic root of 18468 is about 26.4326043447.

It can be divided in two parts, 184 and 68, that added together give a palindrome (252).

The spelling of 18468 in words is "eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 18468