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540056205 = 325135915647
BaseRepresentation
bin100000001100001…
…001101010001101
31101122012200211200
4200030021222031
52101223244310
6125331140113
716245254613
oct4014115215
91348180750
10540056205
11257936247
12130a44639
1387b6b3b0
1451a216b3
153262b9c0
hex20309a8d

540056205 has 48 divisors (see below), whose sum is σ = 1025256960. Its totient is φ = 261350784.

The previous prime is 540056203. The next prime is 540056227. The reversal of 540056205 is 502650045.

540056205 is a `hidden beast` number, since 5 + 400 + 56 + 205 = 666.

It is not a de Polignac number, because 540056205 - 21 = 540056203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540056201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26692 + ... + 42338.

It is an arithmetic number, because the mean of its divisors is an integer number (21359520).

Almost surely, 2540056205 is an apocalyptic number.

It is an amenable number.

540056205 is a deficient number, since it is larger than the sum of its proper divisors (485200755).

540056205 is a wasteful number, since it uses less digits than its factorization.

540056205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15730 (or 15727 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 540056205 is about 23239.1093848280. The cubic root of 540056205 is about 814.3535365617.

The spelling of 540056205 in words is "five hundred forty million, fifty-six thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 59 65 117 177 195 295 531 585 767 885 2301 2655 3835 6903 11505 15647 34515 46941 78235 140823 203411 234705 610233 704115 923173 1017055 1830699 2769519 3051165 4615865 8308557 9153495 12001249 13847595 36003747 41542785 60006245 108011241 180018735 540056205