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540066241 = 1113191971009
BaseRepresentation
bin100000001100001…
…100000111000001
31101122020012121101
4200030030013001
52101224104431
6125331254401
716245326101
oct4014140701
91348205541
10540066241
11257942840
12130a4a401
1387b72b30
1451a25201
153262e961
hex2030c1c1

540066241 has 32 divisors (see below), whose sum is σ = 671932800. Its totient is φ = 426746880.

The previous prime is 540066223. The next prime is 540066253. The reversal of 540066241 is 142660045.

It is a 3-Lehmer number, since φ(540066241) divides (540066241-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 540066241 - 25 = 540066209 is a prime.

It is a deceptive number, since it divides R540066240.

It is not an unprimeable number, because it can be changed into a prime (540066281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534745 + ... + 535753.

It is an arithmetic number, because the mean of its divisors is an integer number (20997900).

It is a Poulet number, since it divides 2540066240-1.

Almost surely, 2540066241 is an apocalyptic number.

It is an amenable number.

540066241 is a deficient number, since it is larger than the sum of its proper divisors (131866559).

540066241 is a wasteful number, since it uses less digits than its factorization.

540066241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 540066241 is about 23239.3253129259. The cubic root of 540066241 is about 814.3585809758.

The spelling of 540066241 in words is "five hundred forty million, sixty-six thousand, two hundred forty-one".

Divisors: 1 11 13 19 143 197 209 247 1009 2167 2561 2717 3743 11099 13117 19171 28171 41173 48659 144287 198773 210881 249223 535249 2186503 2584049 2741453 3776687 28424539 41543557 49096931 540066241