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540966037 is a prime number
BaseRepresentation
bin100000001111100…
…111110010010101
31101200220220220011
4200033213302111
52101441403122
6125402440221
716256064313
oct4017476225
91350826804
10540966037
112583a7877
12131203071
13880c9561
1451bbb0b3
153275b377
hex203e7c95

540966037 has 2 divisors, whose sum is σ = 540966038. Its totient is φ = 540966036.

The previous prime is 540966031. The next prime is 540966047. The reversal of 540966037 is 730669045.

540966037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319730161 + 221235876 = 17881^2 + 14874^2 .

It is a cyclic number.

It is not a de Polignac number, because 540966037 - 211 = 540963989 is a prime.

It is a Chen prime.

It is equal to p28396462 and since 540966037 and 28396462 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540966031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270483018 + 270483019.

It is an arithmetic number, because the mean of its divisors is an integer number (270483019).

Almost surely, 2540966037 is an apocalyptic number.

It is an amenable number.

540966037 is a deficient number, since it is larger than the sum of its proper divisors (1).

540966037 is an equidigital number, since it uses as much as digits as its factorization.

540966037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 540966037 is about 23258.6765960577. The cubic root of 540966037 is about 814.8105934449.

The spelling of 540966037 in words is "five hundred forty million, nine hundred sixty-six thousand, thirty-seven".