Search a number
-
+
540815641 is a prime number
BaseRepresentation
bin100000001111000…
…011000100011001
31101200122021120221
4200033003010121
52101422100031
6125355320041
716254566662
oct4017030431
91350567527
10540815641
11258304883
12131150021
1388075c72
1451b7c369
153272ba11
hex203c3119

540815641 has 2 divisors, whose sum is σ = 540815642. Its totient is φ = 540815640.

The previous prime is 540815603. The next prime is 540815651. The reversal of 540815641 is 146518045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 536895241 + 3920400 = 23171^2 + 1980^2 .

It is a cyclic number.

It is not a de Polignac number, because 540815641 - 229 = 3944729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540815597 and 540815606.

It is not a weakly prime, because it can be changed into another prime (540815651) 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, 270407820 + 270407821.

It is an arithmetic number, because the mean of its divisors is an integer number (270407821).

Almost surely, 2540815641 is an apocalyptic number.

It is an amenable number.

540815641 is a deficient number, since it is larger than the sum of its proper divisors (1).

540815641 is an equidigital number, since it uses as much as digits as its factorization.

540815641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 540815641 is about 23255.4432552897. The cubic root of 540815641 is about 814.7350769283.

The spelling of 540815641 in words is "five hundred forty million, eight hundred fifteen thousand, six hundred forty-one".