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129965265 = 3252888117
BaseRepresentation
bin1111011111100…
…01110011010001
3100001112220211100
413233301303101
5231232342030
620521335013
73135454323
oct757616321
9301486740
10129965265
11673a8911
1237637469
1320c05a31
1413391613
15b623360
hex7bf1cd1

129965265 has 12 divisors (see below), whose sum is σ = 225273204. Its totient is φ = 69314784.

The previous prime is 129965257. The next prime is 129965281. The reversal of 129965265 is 562569921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19210689 + 110754576 = 4383^2 + 10524^2 .

It is not a de Polignac number, because 129965265 - 23 = 129965257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2888117 = 129965265 / (1 + 2 + 9 + 9 + 6 + 5 + 2 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 129965265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1444014 + ... + 1444103.

It is an arithmetic number, because the mean of its divisors is an integer number (18772767).

Almost surely, 2129965265 is an apocalyptic number.

129965265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129965265 is a deficient number, since it is larger than the sum of its proper divisors (95307939).

129965265 is a wasteful number, since it uses less digits than its factorization.

129965265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888128 (or 2888125 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 129965265 is about 11400.2309187139. The cubic root of 129965265 is about 506.5345798246.

It can be divided in two parts, 1299 and 65265, that added together give a square (66564 = 2582).

The spelling of 129965265 in words is "one hundred twenty-nine million, nine hundred sixty-five thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 45 2888117 8664351 14440585 25993053 43321755 129965265