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13147065 = 325292157
BaseRepresentation
bin110010001001…
…101110111001
3220201221101100
4302021232321
511331201230
61145442013
7216514431
oct62115671
926657340
1013147065
11746a648
1244a0309
132954139
141a632c1
15124a660
hexc89bb9

13147065 has 12 divisors (see below), whose sum is σ = 22788324. Its totient is φ = 7011744.

The previous prime is 13147061. The next prime is 13147087. The reversal of 13147065 is 56074131.

13147065 is a `hidden beast` number, since 131 + 470 + 65 = 666.

13147065 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 8003241 = 2268^2 + 2829^2 .

It is not a de Polignac number, because 13147065 - 22 = 13147061 is a prime.

It is a super-2 number, since 2×131470652 = 345690636228450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13147061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146034 + ... + 146123.

It is an arithmetic number, because the mean of its divisors is an integer number (1899027).

Almost surely, 213147065 is an apocalyptic number.

13147065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13147065 is a deficient number, since it is larger than the sum of its proper divisors (9641259).

13147065 is a wasteful number, since it uses less digits than its factorization.

13147065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292168 (or 292165 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13147065 is about 3625.8881670565. Note that the first 3 decimals coincide. The cubic root of 13147065 is about 236.0168103031.

The spelling of 13147065 in words is "thirteen million, one hundred forty-seven thousand, sixty-five".

Divisors: 1 3 5 9 15 45 292157 876471 1460785 2629413 4382355 13147065