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540450305 = 53722912757
BaseRepresentation
bin100000001101101…
…001111000000001
31101122221201102222
4200031221320001
52101323402210
6125343420425
716251515603
oct4015517001
91348851388
10540450305
1125808534a
12130bb4715
1387c788a5
1451ac5173
15326a8655
hex20369e01

540450305 has 16 divisors (see below), whose sum is σ = 669029520. Its totient is φ = 418804992.

The previous prime is 540450277. The next prime is 540450319. The reversal of 540450305 is 503054045.

It can be written as a sum of positive squares in 8 ways, for example, as 105185536 + 435264769 = 10256^2 + 20863^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540450305 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35987 + ... + 48743.

It is an arithmetic number, because the mean of its divisors is an integer number (41814345).

Almost surely, 2540450305 is an apocalyptic number.

It is an amenable number.

540450305 is a deficient number, since it is larger than the sum of its proper divisors (128579215).

540450305 is a wasteful number, since it uses less digits than its factorization.

540450305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028.

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 540450305 is about 23247.5870790927. The cubic root of 540450305 is about 814.5515768710.

The spelling of 540450305 in words is "five hundred forty million, four hundred fifty thousand, three hundred five".

Divisors: 1 5 37 185 229 1145 8473 12757 42365 63785 472009 2360045 2921353 14606765 108090061 540450305