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26364 = 223133
BaseRepresentation
bin110011011111100
31100011110
412123330
51320424
6322020
7136602
oct63374
940143
1026364
1118898
1213310
13c000
149872
157c29
hex66fc

26364 has 24 divisors (see below), whose sum is σ = 66640. Its totient is φ = 8112.

The previous prime is 26357. The next prime is 26371. The reversal of 26364 is 46362.

26364 = T72 + T73 + ... + T80.

It is an interprime number because it is at equal distance from previous prime (26357) and next prime (26371).

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

Its product of digits (864) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 13 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 26364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2022 + ... + 2034.

26364 is a Friedman number, since it can be written as (26^3*6)/4, using all its digits and the basic arithmetic operations.

226364 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 26364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33320).

26364 is an abundant number, since it is smaller than the sum of its proper divisors (40276).

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

26364 is a wasteful number, since it uses less digits than its factorization.

26364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 18 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 26364 is about 162.3699479584. The cubic root of 26364 is about 29.7625703064.

The spelling of 26364 in words is "twenty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2197 4394 6591 8788 13182 26364