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13029393 = 313231829
BaseRepresentation
bin110001101101…
…000000010001
3220111221222010
4301231000101
511313420033
61143133133
7215514366
oct61550021
926457863
1013029393
11739a1a3
1244441a9
132912700
141a3246d
151225863
hexc6d011

13029393 has 24 divisors (see below), whose sum is σ = 19441920. Its totient is φ = 7750080.

The previous prime is 13029377. The next prime is 13029407. The reversal of 13029393 is 39392031.

It is not a de Polignac number, because 13029393 - 24 = 13029377 is a prime.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

13029393 is a modest number, since divided by 9393 gives 1302 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13029393.

It is not an unprimeable number, because it can be changed into a prime (13029343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15303 + ... + 16131.

It is an arithmetic number, because the mean of its divisors is an integer number (810080).

Almost surely, 213029393 is an apocalyptic number.

13029393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13029393 is a deficient number, since it is larger than the sum of its proper divisors (6412527).

13029393 is a wasteful number, since it uses less digits than its factorization.

13029393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 13029393 is about 3609.6250497801. The cubic root of 13029393 is about 235.3105476382.

The spelling of 13029393 in words is "thirteen million, twenty-nine thousand, three hundred ninety-three".

Divisors: 1 3 13 31 39 93 169 403 507 829 1209 2487 5239 10777 15717 25699 32331 77097 140101 334087 420303 1002261 4343131 13029393