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540470993 is a prime number
BaseRepresentation
bin100000001101101…
…110111011010001
31101122222202211012
4200031232323101
52101330032433
6125344100305
716251633116
oct4015567321
91348882735
10540470993
11258099947
12131004695
1387c8512a
1451acc90d
15326ae848
hex2036eed1

540470993 has 2 divisors, whose sum is σ = 540470994. Its totient is φ = 540470992.

The previous prime is 540470971. The next prime is 540471013. The reversal of 540470993 is 399074045.

540470993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 517699009 + 22771984 = 22753^2 + 4772^2 .

It is a cyclic number.

It is not a de Polignac number, because 540470993 - 212 = 540466897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 540470993.

It is not a weakly prime, because it can be changed into another prime (540470933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270235496 + 270235497.

It is an arithmetic number, because the mean of its divisors is an integer number (270235497).

Almost surely, 2540470993 is an apocalyptic number.

It is an amenable number.

540470993 is a deficient number, since it is larger than the sum of its proper divisors (1).

540470993 is an equidigital number, since it uses as much as digits as its factorization.

540470993 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 41.

The square root of 540470993 is about 23248.0320242381. The cubic root of 540470993 is about 814.5619701967.

The spelling of 540470993 in words is "five hundred forty million, four hundred seventy thousand, nine hundred ninety-three".