Search a number
-
+
12782009 is a prime number
BaseRepresentation
bin110000110000…
…100110111001
3220001101121202
4300300212321
511233011014
61133543545
7213434222
oct60604671
926041552
1012782009
117240349
124344bb5
132856c26
1419aa249
1511c73de
hexc309b9

12782009 has 2 divisors, whose sum is σ = 12782010. Its totient is φ = 12782008.

The previous prime is 12781939. The next prime is 12782017. The reversal of 12782009 is 90028721.

It is a happy number.

12782009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7155625 + 5626384 = 2675^2 + 2372^2 .

It is an emirp because it is prime and its reverse (90028721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12782009 - 28 = 12781753 is a prime.

It is not a weakly prime, because it can be changed into another prime (12781009) 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 as a sum of consecutive naturals, namely, 6391004 + 6391005.

It is an arithmetic number, because the mean of its divisors is an integer number (6391005).

Almost surely, 212782009 is an apocalyptic number.

It is an amenable number.

12782009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12782009 is an equidigital number, since it uses as much as digits as its factorization.

12782009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 12782009 is about 3575.1935611936. The cubic root of 12782009 is about 233.8117718297.

The spelling of 12782009 in words is "twelve million, seven hundred eighty-two thousand, nine".