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12768921 = 351117281
BaseRepresentation
bin110000101101…
…011010011001
3220000201200000
4300231122121
511232101141
61133403213
7213351114
oct60553231
926021600
1012768921
117231530
124339509
132850c99
1419a557b
1511c35b6
hexc2d699

12768921 has 48 divisors (see below), whose sum is σ = 22171968. Its totient is φ = 7257600.

The previous prime is 12768907. The next prime is 12768937. The reversal of 12768921 is 12986721.

12768921 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 12768921 - 26 = 12768857 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12768901) 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, 45301 + ... + 45581.

It is an arithmetic number, because the mean of its divisors is an integer number (461916).

Almost surely, 212768921 is an apocalyptic number.

12768921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12768921 is a deficient number, since it is larger than the sum of its proper divisors (9403047).

12768921 is a wasteful number, since it uses less digits than its factorization.

12768921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12768921 is about 3573.3627019937. The cubic root of 12768921 is about 233.7319415639.

It can be divided in two parts, 12768 and 921, that added together give a square (13689 = 1172).

The spelling of 12768921 in words is "twelve million, seven hundred sixty-eight thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 281 297 459 561 843 891 1377 1683 2529 2673 3091 4131 4777 5049 7587 9273 14331 15147 22761 27819 42993 45441 52547 68283 83457 128979 157641 250371 386937 472923 751113 1160811 1418769 4256307 12768921