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12868821 = 337271137
BaseRepresentation
bin110001000101…
…110011010101
3220012210201000
4301011303111
511243300241
61135453513
7214245300
oct61056325
926183630
1012868821
11729a599
124387299
1328875b4
1419cdb37
1511e2eb6
hexc45cd5

12868821 has 48 divisors (see below), whose sum is σ = 22654080. Its totient is φ = 7197120.

The previous prime is 12868811. The next prime is 12868829. The reversal of 12868821 is 12886821.

12868821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12868821 - 210 = 12867797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93865 + ... + 94001.

It is an arithmetic number, because the mean of its divisors is an integer number (471960).

Almost surely, 212868821 is an apocalyptic number.

It is an amenable number.

12868821 is a deficient number, since it is larger than the sum of its proper divisors (9785259).

12868821 is a wasteful number, since it uses less digits than its factorization.

12868821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 12868821 is about 3587.3138976120. The cubic root of 12868821 is about 234.3399070658.

It can be divided in two parts, 12868 and 821, that added together give a square (13689 = 1172).

The spelling of 12868821 in words is "twelve million, eight hundred sixty-eight thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 71 137 147 189 213 411 441 497 639 959 1233 1323 1491 1917 2877 3479 3699 4473 6713 8631 9727 10437 13419 20139 25893 29181 31311 60417 68089 87543 93933 181251 204267 262629 476623 612801 1429869 1838403 4289607 12868821