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540268373 is a prime number
BaseRepresentation
bin100000001100111…
…101011101010101
31101122121110212202
4200030331131111
52101302041443
6125335454245
716250130311
oct4014753525
91348543782
10540268373
11257a70697
12130b27385
1387c13b38
1451a78b41
153266e7b8
hex2033d755

540268373 has 2 divisors, whose sum is σ = 540268374. Its totient is φ = 540268372.

The previous prime is 540268327. The next prime is 540268429. The reversal of 540268373 is 373862045.

540268373 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., 495418564 + 44849809 = 22258^2 + 6697^2 .

It is a cyclic number.

It is not a de Polignac number, because 540268373 - 216 = 540202837 is a prime.

It is a super-3 number, since 3×5402683733 (a number of 27 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540268073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270134186 + 270134187.

It is an arithmetic number, because the mean of its divisors is an integer number (270134187).

Almost surely, 2540268373 is an apocalyptic number.

It is an amenable number.

540268373 is a deficient number, since it is larger than the sum of its proper divisors (1).

540268373 is an equidigital number, since it uses as much as digits as its factorization.

540268373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 540268373 is about 23243.6738275170. The cubic root of 540268373 is about 814.4601656731.

The spelling of 540268373 in words is "five hundred forty million, two hundred sixty-eight thousand, three hundred seventy-three".