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12813853 = 132941829
BaseRepresentation
bin110000111000…
…011000011101
3220010000022011
4300320120131
511240020403
61134351221
7213626113
oct60703035
926100264
1012813853
117262268
12435b511
132868580
1419b7ab3
1511d1a6d
hexc3861d

12813853 has 16 divisors (see below), whose sum is σ = 14641200. Its totient is φ = 11128320.

The previous prime is 12813841. The next prime is 12813859. The reversal of 12813853 is 35831821.

It can be written as a sum of positive squares in 8 ways, for example, as 2199289 + 10614564 = 1483^2 + 3258^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12813853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813859) 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, 15043 + ... + 15871.

It is an arithmetic number, because the mean of its divisors is an integer number (915075).

Almost surely, 212813853 is an apocalyptic number.

12813853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12813853 is a deficient number, since it is larger than the sum of its proper divisors (1827347).

12813853 is a wasteful number, since it uses less digits than its factorization.

12813853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its digits is 5760, while the sum is 31.

The square root of 12813853 is about 3579.6442560679. The cubic root of 12813853 is about 234.0057770020.

The spelling of 12813853 in words is "twelve million, eight hundred thirteen thousand, eight hundred fifty-three".

Divisors: 1 13 29 41 377 533 829 1189 10777 15457 24041 33989 312533 441857 985681 12813853