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540611305 = 51317489241
BaseRepresentation
bin100000001110010…
…001001011101001
31101200020220021221
4200032101023221
52101344030210
6125351102041
716253056153
oct4016211351
91350226257
10540611305
11258185303
12131071921
1388003c60
1451b27ad3
15326db1da
hex203912e9

540611305 has 16 divisors (see below), whose sum is σ = 739733904. Its totient is φ = 375736320.

The previous prime is 540611303. The next prime is 540611317. The reversal of 540611305 is 503116045.

It can be written as a sum of positive squares in 8 ways, for example, as 120648256 + 419963049 = 10984^2 + 20493^2 .

It is not a de Polignac number, because 540611305 - 21 = 540611303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540611305.

It is not an unprimeable number, because it can be changed into a prime (540611303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243516 + ... + 245725.

It is an arithmetic number, because the mean of its divisors is an integer number (46233369).

Almost surely, 2540611305 is an apocalyptic number.

It is an amenable number.

540611305 is a deficient number, since it is larger than the sum of its proper divisors (199122599).

540611305 is a wasteful number, since it uses less digits than its factorization.

540611305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489276.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 540611305 is about 23251.0495462033. The cubic root of 540611305 is about 814.6324537388.

The spelling of 540611305 in words is "five hundred forty million, six hundred eleven thousand, three hundred five".

Divisors: 1 5 13 17 65 85 221 1105 489241 2446205 6360133 8317097 31800665 41585485 108122261 540611305