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13297960 = 23513107239
BaseRepresentation
bin110010101110…
…100100101000
3221000121101001
4302232210220
511401013320
61153004344
7221013364
oct62564450
927017331
1013297960
117562a55
1245536b4
1329a7a20
141aa22a4
15127a20a
hexcae928

13297960 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 4843776.

The previous prime is 13297943. The next prime is 13297969. The reversal of 13297960 is 6979231.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13297969) 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 15 ways as a sum of consecutive naturals, for example, 55521 + ... + 55759.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 213297960 is an apocalyptic number.

13297960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13297960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13297960 is an abundant number, since it is smaller than the sum of its proper divisors (19361240).

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

13297960 is a wasteful number, since it uses less digits than its factorization.

13297960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 13297960 is about 3646.6368067029. The cubic root of 13297960 is about 236.9163359612.

The spelling of 13297960 in words is "thirteen million, two hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 239 260 428 478 520 535 856 956 1070 1195 1391 1912 2140 2390 2782 3107 4280 4780 5564 6214 6955 9560 11128 12428 13910 15535 24856 25573 27820 31070 51146 55640 62140 102292 124280 127865 204584 255730 332449 511460 664898 1022920 1329796 1662245 2659592 3324490 6648980 13297960