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13264164 = 22326072
BaseRepresentation
bin110010100110…
…010100100100
3220221220000100
4302212110210
511343423124
61152144100
7220513014
oct62462444
926856010
1013264164
11753a621
124538030
132995524
141a93c44
1512701c9
hexca6524

13264164 has 27 divisors (see below), whose sum is σ = 33584187. Its totient is φ = 4414104.

The previous prime is 13264159. The next prime is 13264171. The reversal of 13264164 is 46146231.

The square root of 13264164 is 3642.

It is a perfect power (a square), and thus also a powerful number.

13264164 is a `hidden beast` number, since 13 + 2 + 641 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21549 + ... + 22155.

Almost surely, 213264164 is an apocalyptic number.

13264164 is the 3642-nd square number.

It is an amenable number.

13264164 is an abundant number, since it is smaller than the sum of its proper divisors (20320023).

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

13264164 is an equidigital number, since it uses as much as digits as its factorization.

13264164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 612 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The cubic root of 13264164 is about 236.7154626181.

It can be divided in two parts, 132 and 64164, that multiplied together give a palindrome (8469648).

The spelling of 13264164 in words is "thirteen million, two hundred sixty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 607 1214 1821 2428 3642 5463 7284 10926 21852 368449 736898 1105347 1473796 2210694 3316041 4421388 6632082 13264164