Search a number
-
+
12768315 = 357277439
BaseRepresentation
bin110000101101…
…010000111011
3220000200211120
4300231100323
511232041230
61133400323
7213346260
oct60552073
926020746
1012768315
11723102a
1243390a3
132850921
1419a5267
1511c3310
hexc2d43b

12768315 has 32 divisors (see below), whose sum is σ = 23485440. Its totient is φ = 5802624.

The previous prime is 12768313. The next prime is 12768341. The reversal of 12768315 is 51386721.

12768315 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 12768315 - 21 = 12768313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12768313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28866 + ... + 29304.

It is an arithmetic number, because the mean of its divisors is an integer number (733920).

Almost surely, 212768315 is an apocalyptic number.

12768315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12768315 is a deficient number, since it is larger than the sum of its proper divisors (10717125).

12768315 is a wasteful number, since it uses less digits than its factorization.

12768315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731.

The product of its digits is 10080, while the sum is 33.

The square root of 12768315 is about 3573.2779069084. The cubic root of 12768315 is about 233.7282439454.

It can be divided in two parts, 1276 and 8315, that added together give a triangular number (9591 = T138).

The spelling of 12768315 in words is "twelve million, seven hundred sixty-eight thousand, three hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 277 439 831 1317 1385 1939 2195 3073 4155 5817 6585 9219 9695 15365 29085 46095 121603 364809 608015 851221 1824045 2553663 4256105 12768315