Search a number
-
+
13363668 = 2232371213
BaseRepresentation
bin110010111110…
…100111010100
3221010221111200
4302332213110
511410114133
61154232500
7221406063
oct62764724
927127450
1013363668
1175a835a
124585730
1329cb8c6
141abc1da
15128e913
hexcbe9d4

13363668 has 18 divisors (see below), whose sum is σ = 33780474. Its totient is φ = 4454544.

The previous prime is 13363657. The next prime is 13363681. The reversal of 13363668 is 86636331.

13363668 is a `hidden beast` number, since 13 + 3 + 636 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8749764 + 4613904 = 2958^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 371213 = 13363668 / (1 + 3 + 3 + 6 + 3 + 6 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185571 + ... + 185642.

It is an arithmetic number, because the mean of its divisors is an integer number (1876693).

Almost surely, 213363668 is an apocalyptic number.

13363668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13363668 is an abundant number, since it is smaller than the sum of its proper divisors (20416806).

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

13363668 is a wasteful number, since it uses less digits than its factorization.

13363668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371223 (or 371218 counting only the distinct ones).

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

The square root of 13363668 is about 3655.6351021403. The cubic root of 13363668 is about 237.3059127167.

Adding to 13363668 its reverse (86636331), we get a palindrome (99999999).

The spelling of 13363668 in words is "thirteen million, three hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 371213 742426 1113639 1484852 2227278 3340917 4454556 6681834 13363668