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13330968 = 2337731087
BaseRepresentation
bin110010110110…
…101000011000
3221002021122120
4302312220120
511403042333
61153421240
7221211540
oct62665030
927067576
1013330968
117585832
12456a820
1329b9a61
141ab0320
151284db3
hexcb6a18

13330968 has 64 divisors (see below), whose sum is σ = 38645760. Its totient is φ = 3753216.

The previous prime is 13330957. The next prime is 13330969. The reversal of 13330968 is 86903331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330969) 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, 11721 + ... + 12807.

It is an arithmetic number, because the mean of its divisors is an integer number (603840).

Almost surely, 213330968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19322880).

13330968 is an abundant number, since it is smaller than the sum of its proper divisors (25314792).

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

13330968 is a wasteful number, since it uses less digits than its factorization.

13330968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13330968 is about 3651.1598157298. The cubic root of 13330968 is about 237.1121974063.

The spelling of 13330968 in words is "thirteen million, three hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1087 1533 1752 2044 2174 3066 3261 4088 4348 6132 6522 7609 8696 12264 13044 15218 22827 26088 30436 45654 60872 79351 91308 158702 182616 238053 317404 476106 555457 634808 952212 1110914 1666371 1904424 2221828 3332742 4443656 6665484 13330968