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12893013 = 34722739
BaseRepresentation
bin110001001011…
…101101010101
3220021000220000
4301023231111
511300034023
61140201513
7214405650
oct61135525
926230800
1012893013
117306791
124399299
132895603
1419d8897
1511ea243
hexc4bb55

12893013 has 20 divisors (see below), whose sum is σ = 22012320. Its totient is φ = 7367112.

The previous prime is 12893009. The next prime is 12893017. The reversal of 12893013 is 31039821.

It is an interprime number because it is at equal distance from previous prime (12893009) and next prime (12893017).

It is not a de Polignac number, because 12893013 - 22 = 12893009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893017) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 10803 + ... + 11936.

It is an arithmetic number, because the mean of its divisors is an integer number (1100616).

Almost surely, 212893013 is an apocalyptic number.

It is an amenable number.

12893013 is a deficient number, since it is larger than the sum of its proper divisors (9119307).

12893013 is an equidigital number, since it uses as much as digits as its factorization.

12893013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22758 (or 22749 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 12893013 is about 3590.6841966400. The cubic root of 12893013 is about 234.4866597552.

It can be divided in two parts, 12 and 893013, that added together give a square (893025 = 9452).

The spelling of 12893013 in words is "twelve million, eight hundred ninety-three thousand, thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 567 22739 68217 159173 204651 477519 613953 1432557 1841859 4297671 12893013