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540704009 is a prime number
BaseRepresentation
bin100000001110100…
…111110100001001
31101200102121110102
4200032213310021
52101410012014
6125353055145
716253623346
oct4016476411
91350377412
10540704009
11258238a1a
121310b74b5
1388037201
1451b4d7cd
15327088de
hex203a7d09

540704009 has 2 divisors, whose sum is σ = 540704010. Its totient is φ = 540704008.

The previous prime is 540703993. The next prime is 540704011. The reversal of 540704009 is 900407045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 532455625 + 8248384 = 23075^2 + 2872^2 .

It is a cyclic number.

It is not a de Polignac number, because 540704009 - 24 = 540703993 is a prime.

Together with 540704011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (540704029) 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, 270352004 + 270352005.

It is an arithmetic number, because the mean of its divisors is an integer number (270352005).

Almost surely, 2540704009 is an apocalyptic number.

It is an amenable number.

540704009 is a deficient number, since it is larger than the sum of its proper divisors (1).

540704009 is an equidigital number, since it uses as much as digits as its factorization.

540704009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 540704009 is about 23253.0430051639. The cubic root of 540704009 is about 814.6790154551.

The spelling of 540704009 in words is "five hundred forty million, seven hundred four thousand, nine".