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12966921 = 3211227577
BaseRepresentation
bin110001011101…
…110000001001
3220101210021100
4301131300021
511304420141
61141532013
7215134302
oct61356011
926353240
1012966921
117357270
124414009
1328c0146
141a177a9
1512120b6
hexc5dc09

12966921 has 24 divisors (see below), whose sum is σ = 20558304. Its totient is φ = 7810560.

The previous prime is 12966881. The next prime is 12966929.

12966921 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12966921 - 215 = 12934153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12966929) 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 23 ways as a sum of consecutive naturals, for example, 22185 + ... + 22761.

It is an arithmetic number, because the mean of its divisors is an integer number (856596).

Almost surely, 212966921 is an apocalyptic number.

12966921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12966921 is a deficient number, since it is larger than the sum of its proper divisors (7591383).

12966921 is a wasteful number, since it uses less digits than its factorization.

12966921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 818 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 12966921 is about 3600.9611217007. The cubic root of 12966921 is about 234.9338639906.

The spelling of 12966921 in words is "twelve million, nine hundred sixty-six thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 99 227 577 681 1731 2043 2497 5193 6347 7491 19041 22473 57123 130979 392937 1178811 1440769 4322307 12966921