Search a number
-
+
13680577 is a prime number
BaseRepresentation
bin110100001011…
…111111000001
3221202001020001
4310023333001
512000234302
61205120001
7224166031
oct64137701
927661201
1013680577
1177a4469
1246b9001
132aacc21
141b618c1
151303787
hexd0bfc1

13680577 has 2 divisors, whose sum is σ = 13680578. Its totient is φ = 13680576.

The previous prime is 13680559. The next prime is 13680587. The reversal of 13680577 is 77508631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8976016 + 4704561 = 2996^2 + 2169^2 .

It is a cyclic number.

It is not a de Polignac number, because 13680577 - 211 = 13678529 is a prime.

It is not a weakly prime, because it can be changed into another prime (13680587) 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 as a sum of consecutive naturals, namely, 6840288 + 6840289.

It is an arithmetic number, because the mean of its divisors is an integer number (6840289).

Almost surely, 213680577 is an apocalyptic number.

It is an amenable number.

13680577 is a deficient number, since it is larger than the sum of its proper divisors (1).

13680577 is an equidigital number, since it uses as much as digits as its factorization.

13680577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 13680577 is about 3698.7264024256. The cubic root of 13680577 is about 239.1671187507.

The spelling of 13680577 in words is "thirteen million, six hundred eighty thousand, five hundred seventy-seven".