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12054 = 237241
BaseRepresentation
bin10111100010110
3121112110
42330112
5341204
6131450
750100
oct27426
917473
1012054
119069
126b86
135643
144570
153889
hex2f16

12054 has 24 divisors (see below), whose sum is σ = 28728. Its totient is φ = 3360.

The previous prime is 12049. The next prime is 12071. The reversal of 12054 is 45021.

12054 is a modest number, since divided by 54 gives 12 as remainder.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

12054 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, 274 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

212054 is an apocalyptic number.

12054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364).

12054 is an abundant number, since it is smaller than the sum of its proper divisors (16674).

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

12054 is a wasteful number, since it uses less digits than its factorization.

12054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12054 is about 109.7907099895. The cubic root of 12054 is about 22.9285748946.

Adding to 12054 its reverse (45021), we get a palindrome (57075).

The spelling of 12054 in words is "twelve thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054