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12768217 = 711792099
BaseRepresentation
bin110000101101…
…001111011001
3220000200200221
4300231033121
511232040332
61133400041
7213346060
oct60551731
926020627
1012768217
117230a50
124339021
132850877
1419a51d7
1511c3297
hexc2d3d9

12768217 has 16 divisors (see below), whose sum is σ = 16128000. Its totient is φ = 9818640.

The previous prime is 12768191. The next prime is 12768221. The reversal of 12768217 is 71286721.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12768217 - 27 = 12768089 is a prime.

It is a super-3 number, since 3×127682173 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12768227) 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 15 ways as a sum of consecutive naturals, for example, 5034 + ... + 7132.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 212768217 is an apocalyptic number.

It is an amenable number.

12768217 is a deficient number, since it is larger than the sum of its proper divisors (3359783).

12768217 is a wasteful number, since it uses less digits than its factorization.

12768217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196.

The product of its digits is 9408, while the sum is 34.

The square root of 12768217 is about 3573.2641939829. The cubic root of 12768217 is about 233.7276459697.

The spelling of 12768217 in words is "twelve million, seven hundred sixty-eight thousand, two hundred seventeen".

Divisors: 1 7 11 77 79 553 869 2099 6083 14693 23089 161623 165821 1160747 1824031 12768217