Search a number
-
+
1306400077 is a prime number
BaseRepresentation
bin100110111011110…
…0001010101001101
310101001020000000001
41031313201111031
510133414300302
6333344404301
744242134403
oct11567412515
93331200001
101306400077
11610479794
12305616691
1317a8690c8
14c5709473
1579a56787
hex4dde154d

1306400077 has 2 divisors, whose sum is σ = 1306400078. Its totient is φ = 1306400076.

The previous prime is 1306400057. The next prime is 1306400089. The reversal of 1306400077 is 7700046031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 703893961 + 602506116 = 26531^2 + 24546^2 .

It is an emirp because it is prime and its reverse (7700046031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1306400077 is a prime.

It is a super-2 number, since 2×13064000772 = 3413362322371211858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1306400057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653200038 + 653200039.

It is an arithmetic number, because the mean of its divisors is an integer number (653200039).

Almost surely, 21306400077 is an apocalyptic number.

It is an amenable number.

1306400077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306400077 is an equidigital number, since it uses as much as digits as its factorization.

1306400077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 1306400077 is about 36144.1568860030. The cubic root of 1306400077 is about 1093.1809771734.

The spelling of 1306400077 in words is "one billion, three hundred six million, four hundred thousand, seventy-seven".