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15132 = 2231397
BaseRepresentation
bin11101100011100
3202202110
43230130
5441012
6154020
762055
oct35434
922673
1015132
1110407
128910
136b70
14572c
15473c
hex3b1c

15132 has 24 divisors (see below), whose sum is σ = 38416. Its totient is φ = 4608.

The previous prime is 15131. The next prime is 15137. The reversal of 15132 is 23151.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 204.

215132 is an apocalyptic number.

15132 is a gapful number since it is divisible by the number (12) 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 15132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208).

15132 is an abundant number, since it is smaller than the sum of its proper divisors (23284).

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

15132 is a wasteful number, since it uses less digits than its factorization.

15132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 15132 is about 123.0121945175. The cubic root of 15132 is about 24.7342517917.

Adding to 15132 its reverse (23151), we get a palindrome (38283).

The spelling of 15132 in words is "fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 3783 5044 7566 15132