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12803 = 73159
BaseRepresentation
bin11001000000011
3122120012
43020003
5402203
6135135
752220
oct31003
918505
1012803
11968a
1274ab
135a9b
144947
153bd8
hex3203

12803 has 8 divisors (see below), whose sum is σ = 15360. Its totient is φ = 10440.

The previous prime is 12799. The next prime is 12809. The reversal of 12803 is 30821.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12803 - 22 = 12799 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (12809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (1920).

212803 is an apocalyptic number.

12803 is a deficient number, since it is larger than the sum of its proper divisors (2557).

12803 is an equidigital number, since it uses as much as digits as its factorization.

12803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12803 is about 113.1503424652. The cubic root of 12803 is about 23.3939692740.

The spelling of 12803 in words is "twelve thousand, eight hundred three".

Divisors: 1 7 31 59 217 413 1829 12803