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15141 = 372103
BaseRepresentation
bin11101100100101
3202202210
43230211
5441031
6154033
762100
oct35445
922683
1015141
1110415
128919
136b79
145737
154746
hex3b25

15141 has 12 divisors (see below), whose sum is σ = 23712. Its totient is φ = 8568.

The previous prime is 15139. The next prime is 15149. The reversal of 15141 is 14151.

It is a happy number.

It is not a de Polignac number, because 15141 - 21 = 15139 is a prime.

It is an Ulam number.

15141 is a lucky number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (1976).

215141 is an apocalyptic number.

It is an amenable number.

15141 is a deficient number, since it is larger than the sum of its proper divisors (8571).

15141 is a wasteful number, since it uses less digits than its factorization.

15141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its digits is 20, while the sum is 12.

The square root of 15141 is about 123.0487708187. The cubic root of 15141 is about 24.7391545177.

Subtracting from 15141 its sum of digits (12), we obtain a square (15129 = 1232).

Adding to 15141 its reverse (14151), we get a palindrome (29292).

Subtracting from 15141 its reverse (14151), we obtain a triangular number (990 = T44).

The spelling of 15141 in words is "fifteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 103 147 309 721 2163 5047 15141