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14365 = 513217
BaseRepresentation
bin11100000011101
3201201001
43200131
5424430
6150301
756611
oct34035
921631
1014365
11a87a
128391
136700
145341
1543ca
hex381d

14365 has 12 divisors (see below), whose sum is σ = 19764. Its totient is φ = 9984.

The previous prime is 14347. The next prime is 14369. The reversal of 14365 is 56341.

14365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14365 is a nontrivial binomial coefficient, being equal to C(170, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 1369 + 12996 = 37^2 + 114^2 .

It is not a de Polignac number, because 14365 - 213 = 6173 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (1647).

214365 is an apocalyptic number.

14365 is the 169-th triangular number and also the 85-th hexagonal number.

14365 is the 57-th centered nonagonal number.

It is an amenable number.

14365 is a deficient number, since it is larger than the sum of its proper divisors (5399).

14365 is a wasteful number, since it uses less digits than its factorization.

14365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 35 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 14365 is about 119.8540779448. The cubic root of 14365 is about 24.3090811515.

It can be divided in two parts, 1436 and 5, that added together give a palindrome (1441).

The spelling of 14365 in words is "fourteen thousand, three hundred sixty-five".

Divisors: 1 5 13 17 65 85 169 221 845 1105 2873 14365