Search a number
-
+
13368636 = 2232735087
BaseRepresentation
bin110010111111…
…110100111100
3221011012022200
4302333310330
511410244021
61154311500
7221426421
oct62776474
927135280
1013368636
117601066
124588590
132a00c48
141abdd48
151291126
hexcbfd3c

13368636 has 36 divisors (see below), whose sum is σ = 34262592. Its totient is φ = 4394304.

The previous prime is 13368631. The next prime is 13368653. The reversal of 13368636 is 63686331.

13368636 is a `hidden beast` number, since 13 + 3 + 6 + 8 + 636 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13368636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368631) 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, 85 + ... + 5171.

Almost surely, 213368636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13368636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17131296).

13368636 is an abundant number, since it is smaller than the sum of its proper divisors (20893956).

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

13368636 is a wasteful number, since it uses less digits than its factorization.

13368636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5165 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13368636 is about 3656.3145378919. The cubic root of 13368636 is about 237.3353155651.

The spelling of 13368636 in words is "thirteen million, three hundred sixty-eight thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5087 10174 15261 20348 30522 45783 61044 91566 183132 371351 742702 1114053 1485404 2228106 3342159 4456212 6684318 13368636