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26565 = 3571123
BaseRepresentation
bin110011111000101
31100102220
412133011
51322230
6322553
7140310
oct63705
940386
1026565
1118a60
1213459
13c126
149977
157d10
hex67c5

26565 has 32 divisors (see below), whose sum is σ = 55296. Its totient is φ = 10560.

The previous prime is 26561. The next prime is 26573. The reversal of 26565 is 56562.

26565 is a nontrivial binomial coefficient, being equal to C(231, 2).

It is not a de Polignac number, because 26565 - 22 = 26561 is a prime.

26565 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

226565 is an apocalyptic number.

26565 is the 230-th triangular number.

It is an amenable number.

26565 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648).

26565 is a wasteful number, since it uses less digits than its factorization.

26565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49.

The product of its digits is 1800, while the sum is 24.

The square root of 26565 is about 162.9877295995. The cubic root of 26565 is about 29.8380158341.

The spelling of 26565 in words is "twenty-six thousand, five hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 55 69 77 105 115 161 165 231 253 345 385 483 759 805 1155 1265 1771 2415 3795 5313 8855 26565