Search a number
-
+
13328136 = 23321710889
BaseRepresentation
bin110010110101…
…111100001000
3221002010202200
4302311330020
511403000021
61153400200
7221200353
oct62657410
927063680
1013328136
117583698
124569060
1329b8693
141aad29a
151284126
hexcb5f08

13328136 has 48 divisors (see below), whose sum is σ = 38223900. Its totient is φ = 4180992.

The previous prime is 13328131. The next prime is 13328137. The reversal of 13328136 is 63182331.

It is a happy number.

13328136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13003236 + 324900 = 3606^2 + 570^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13328131) 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, 4221 + ... + 6668.

Almost surely, 213328136 is an apocalyptic number.

It is an amenable number.

13328136 is an abundant number, since it is smaller than the sum of its proper divisors (24895764).

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

13328136 is a wasteful number, since it uses less digits than its factorization.

13328136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10918 (or 10911 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 13328136 is about 3650.7719731586. The cubic root of 13328136 is about 237.0954056949.

The spelling of 13328136 in words is "thirteen million, three hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 10889 21778 32667 43556 65334 87112 98001 130668 185113 196002 261336 370226 392004 555339 740452 784008 1110678 1480904 1666017 2221356 3332034 4442712 6664068 13328136