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13299960 = 2335137809
BaseRepresentation
bin110010101111…
…000011111000
3221000201010010
4302233003320
511401044320
61153021520
7221022252
oct62570370
927021103
1013299960
117564503
1245548a0
1329a88cb
141aa2cd2
15127aae0
hexcaf0f8

13299960 has 64 divisors (see below), whose sum is σ = 40240800. Its totient is φ = 3516416.

The previous prime is 13299959. The next prime is 13299971. The reversal of 13299960 is 6999231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16036 + ... + 16844.

Almost surely, 213299960 is an apocalyptic number.

13299960 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 13299960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20120400).

13299960 is an abundant number, since it is smaller than the sum of its proper divisors (26940840).

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

13299960 is a wasteful number, since it uses less digits than its factorization.

13299960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 13299960 is about 3646.9110216730. The cubic root of 13299960 is about 236.9282126932.

The spelling of 13299960 in words is "thirteen million, two hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 809 822 1096 1370 1618 1644 2055 2427 2740 3236 3288 4045 4110 4854 5480 6472 8090 8220 9708 12135 16180 16440 19416 24270 32360 48540 97080 110833 221666 332499 443332 554165 664998 886664 1108330 1329996 1662495 2216660 2659992 3324990 4433320 6649980 13299960