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13007296 = 261671217
BaseRepresentation
bin110001100111…
…100111000000
3220110211122201
4301213213000
511312213141
61142442544
7215363101
oct61474700
926424581
1013007296
117384635
124433454
132905633
141a283a8
15121e031
hexc679c0

13007296 has 28 divisors (see below), whose sum is σ = 25987248. Its totient is φ = 6459392.

The previous prime is 13007273. The next prime is 13007303. The reversal of 13007296 is 69270031.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10080 + ... + 11296.

It is an arithmetic number, because the mean of its divisors is an integer number (928116).

Almost surely, 213007296 is an apocalyptic number.

13007296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13007296 is a deficient number, since it is larger than the sum of its proper divisors (12979952).

13007296 is a wasteful number, since it uses less digits than its factorization.

13007296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 13007296 is about 3606.5629067022. The cubic root of 13007296 is about 235.1774485913.

The spelling of 13007296 in words is "thirteen million, seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 167 334 668 1217 1336 2434 2672 4868 5344 9736 10688 19472 38944 77888 203239 406478 812956 1625912 3251824 6503648 13007296