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12768345 = 325283741
BaseRepresentation
bin110000101101…
…010001011001
3220000200212200
4300231101121
511232041340
61133400413
7213346332
oct60552131
926020780
1012768345
117231057
124339109
132850945
1419a5289
1511c3330
hexc2d459

12768345 has 12 divisors (see below), whose sum is σ = 22131876. Its totient is φ = 6809760.

The previous prime is 12768341. The next prime is 12768347. The reversal of 12768345 is 54386721.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 10830681 = 1392^2 + 3291^2 .

It is not a de Polignac number, because 12768345 - 22 = 12768341 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 a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12768341) 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 11 ways as a sum of consecutive naturals, for example, 141826 + ... + 141915.

It is an arithmetic number, because the mean of its divisors is an integer number (1844323).

Almost surely, 212768345 is an apocalyptic number.

12768345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12768345 is a deficient number, since it is larger than the sum of its proper divisors (9363531).

12768345 is a wasteful number, since it uses less digits than its factorization.

12768345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283752 (or 283749 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12768345 is about 3573.2821047323. The cubic root of 12768345 is about 233.7284269986.

The spelling of 12768345 in words is "twelve million, seven hundred sixty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 283741 851223 1418705 2553669 4256115 12768345