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13129065 = 3251971481
BaseRepresentation
bin110010000101…
…010101101001
3220201000200200
4302011111221
511330112230
61145222413
7216411105
oct62052551
926630620
1013129065
117458074
124491a09
132948ba1
141a5a905
151245160
hexc85569

13129065 has 24 divisors (see below), whose sum is σ = 22888008. Its totient is φ = 6961920.

The previous prime is 13129063. The next prime is 13129069. The reversal of 13129065 is 56092131.

It can be written as a sum of positive squares in 4 ways, for example, as 4272489 + 8856576 = 2067^2 + 2976^2 .

It is not a de Polignac number, because 13129065 - 21 = 13129063 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13129063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8125 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (953667).

Almost surely, 213129065 is an apocalyptic number.

13129065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13129065 is a deficient number, since it is larger than the sum of its proper divisors (9758943).

13129065 is a wasteful number, since it uses less digits than its factorization.

13129065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13129065 is about 3623.4051664146. The cubic root of 13129065 is about 235.9090487892.

The spelling of 13129065 in words is "thirteen million, one hundred twenty-nine thousand, sixty-five".

Divisors: 1 3 5 9 15 45 197 591 985 1481 1773 2955 4443 7405 8865 13329 22215 66645 291757 875271 1458785 2625813 4376355 13129065