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13129360 = 245164117
BaseRepresentation
bin110010000101…
…011010010000
3220201001002121
4302011122100
511330114420
61145224024
7216412006
oct62053220
926631077
1013129360
117458312
124492014
13294906a
141a5aa76
1512452aa
hexc85690

13129360 has 20 divisors (see below), whose sum is σ = 30525948. Its totient is φ = 5251712.

The previous prime is 13129351. The next prime is 13129367. The reversal of 13129360 is 6392131.

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 5817744 = 2704^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13129367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81979 + ... + 82138.

Almost surely, 213129360 is an apocalyptic number.

13129360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13129360 is an abundant number, since it is smaller than the sum of its proper divisors (17396588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13129360 is a wasteful number, since it uses less digits than its factorization.

13129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164130 (or 164124 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 13129360 is about 3623.4458737506. The cubic root of 13129360 is about 235.9108156743.

It can be divided in two parts, 1 and 3129360, that added together give a square (3129361 = 17692).

The spelling of 13129360 in words is "thirteen million, one hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 164117 328234 656468 820585 1312936 1641170 2625872 3282340 6564680 13129360