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13528 = 231989
BaseRepresentation
bin11010011011000
3200120001
43103120
5413103
6142344
754304
oct32330
920501
1013528
11a189
1279b4
136208
144d04
15401d
hex34d8

13528 has 16 divisors (see below), whose sum is σ = 27000. Its totient is φ = 6336.

The previous prime is 13523. The next prime is 13537. The reversal of 13528 is 82531.

It is a happy number.

13528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 196.

213528 is an apocalyptic number.

It is an amenable number.

13528 is a deficient number, since it is larger than the sum of its proper divisors (13472).

13528 is a wasteful number, since it uses less digits than its factorization.

13528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 13528 is about 116.3099307884. The cubic root of 13528 is about 23.8274663484.

It can be divided in two parts, 1352 and 8, that multiplied together give a square (10816 = 1042).

The spelling of 13528 in words is "thirteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 19 38 76 89 152 178 356 712 1691 3382 6764 13528