Search a number
-
+
13788041 is a prime number
BaseRepresentation
bin110100100110…
…001110001001
3221221111122012
4310212032021
512012204131
61211305305
7225124241
oct64461611
927844565
1013788041
117868183
12474b235
132b19b07
141b8cb21
15132552b
hexd26389

13788041 has 2 divisors, whose sum is σ = 13788042. Its totient is φ = 13788040.

The previous prime is 13788031. The next prime is 13788059. The reversal of 13788041 is 14088731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11526025 + 2262016 = 3395^2 + 1504^2 .

It is an emirp because it is prime and its reverse (14088731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13788041 is a prime.

It is a super-2 number, since 2×137880412 = 380220149235362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13787989 and 13788007.

It is not a weakly prime, because it can be changed into another prime (13788011) 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, 6894020 + 6894021.

It is an arithmetic number, because the mean of its divisors is an integer number (6894021).

Almost surely, 213788041 is an apocalyptic number.

It is an amenable number.

13788041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13788041 is an equidigital number, since it uses as much as digits as its factorization.

13788041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 13788041 is about 3713.2251480351. The cubic root of 13788041 is about 239.7917232408.

The spelling of 13788041 in words is "thirteen million, seven hundred eighty-eight thousand, forty-one".