Search a number
-
+
12960729 = 34160009
BaseRepresentation
bin110001011100…
…001111011001
3220101110210000
4301130033121
511304220404
61141443213
7215110245
oct61341731
926343700
1012960729
117352651
124410509
1328ba392
141a15425
151210339
hexc5c3d9

12960729 has 10 divisors (see below), whose sum is σ = 19361210. Its totient is φ = 8640432.

The previous prime is 12960719. The next prime is 12960743. The reversal of 12960729 is 92706921.

12960729 is a `hidden beast` number, since 1 + 29 + 607 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 729 = 3600^2 + 27^2 .

It is not a de Polignac number, because 12960729 - 28 = 12960473 is a prime.

It is a super-2 number, since 2×129607292 = 335960992422882, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12960693 and 12960702.

It is not an unprimeable number, because it can be changed into a prime (12960719) 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 9 ways as a sum of consecutive naturals, for example, 79924 + ... + 80085.

It is an arithmetic number, because the mean of its divisors is an integer number (1936121).

Almost surely, 212960729 is an apocalyptic number.

It is an amenable number.

12960729 is a deficient number, since it is larger than the sum of its proper divisors (6400481).

12960729 is an equidigital number, since it uses as much as digits as its factorization.

12960729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160021 (or 160012 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 12960729 is about 3600.1012485762. The cubic root of 12960729 is about 234.8964626137.

It can be divided in two parts, 12960 and 729, that added together give a square (13689 = 1172).

The spelling of 12960729 in words is "twelve million, nine hundred sixty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 160009 480027 1440081 4320243 12960729