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15136 = 251143
BaseRepresentation
bin11101100100000
3202202121
43230200
5441021
6154024
762062
oct35440
922677
1015136
1110410
128914
136b74
145732
154741
hex3b20

15136 has 24 divisors (see below), whose sum is σ = 33264. Its totient is φ = 6720.

The previous prime is 15131. The next prime is 15137. The reversal of 15136 is 63151.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 9.

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

15136 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 3 ways as a sum of consecutive naturals, for example, 331 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

215136 is an apocalyptic number.

15136 is a gapful number since it is divisible by the number (16) 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 15136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632).

15136 is an abundant number, since it is smaller than the sum of its proper divisors (18128).

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

15136 is a wasteful number, since it uses less digits than its factorization.

15136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its digits is 90, while the sum is 16.

The square root of 15136 is about 123.0284519938. The cubic root of 15136 is about 24.7364310209.

15136 divided by its sum of digits (16) gives a triangular number (946 = T43).

Adding to 15136 its reverse (63151), we get a palindrome (78287).

It can be divided in two parts, 15 and 136, that added together give a palindrome (151).

The spelling of 15136 in words is "fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 15136