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54156 = 2234513
BaseRepresentation
bin1101001110001100
32202021210
431032030
53213111
61054420
7313614
oct151614
982253
1054156
1137763
1227410
131b85b
1415a44
15110a6
hexd38c

54156 has 12 divisors (see below), whose sum is σ = 126392. Its totient is φ = 18048.

The previous prime is 54151. The next prime is 54163. The reversal of 54156 is 65145.

It is a happy number.

54156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2245 + ... + 2268.

254156 is an apocalyptic number.

It is an amenable number.

54156 is an abundant number, since it is smaller than the sum of its proper divisors (72236).

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 (63196).

54156 is a wasteful number, since it uses less digits than its factorization.

54156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4518 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 54156 is about 232.7144172586. The cubic root of 54156 is about 37.8339942226.

Adding to 54156 its product of digits (600), we get a square (54756 = 2342).

It can be divided in two parts, 54 and 156, that added together give a triangular number (210 = T20).

The spelling of 54156 in words is "fifty-four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 4513 9026 13539 18052 27078 54156