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13380965 = 513415021
BaseRepresentation
bin110011000010…
…110101100101
3221011211020022
4303002311211
511411142330
61154444525
7221510363
oct63026545
927154208
1013380965
11760a354
124593745
132a06740
141ac4633
151294ae5
hexcc2d65

13380965 has 16 divisors (see below), whose sum is σ = 17717616. Its totient is φ = 9638400.

The previous prime is 13380943. The next prime is 13380967. The reversal of 13380965 is 56908331.

13380965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 36582+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1256641 + 12124324 = 1121^2 + 3482^2 .

It is not a de Polignac number, because 13380965 - 26 = 13380901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13380967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (1107351).

Almost surely, 213380965 is an apocalyptic number.

It is an amenable number.

13380965 is a deficient number, since it is larger than the sum of its proper divisors (4336651).

13380965 is a wasteful number, since it uses less digits than its factorization.

13380965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 13380965 is about 3658.0001366867. Note that the first 3 decimals coincide. The cubic root of 13380965 is about 237.4082526508.

The spelling of 13380965 in words is "thirteen million, three hundred eighty thousand, nine hundred sixty-five".

Divisors: 1 5 13 41 65 205 533 2665 5021 25105 65273 205861 326365 1029305 2676193 13380965