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540666045 = 32517706753
BaseRepresentation
bin100000001110011…
…110100010111101
31101200100200101100
4200032132202331
52101402303140
6125352203313
716253404563
oct4016364275
91350320340
10540666045
11258212447
12131099539
1388022b4a
1451b3da33
15326ec530
hex2039e8bd

540666045 has 24 divisors (see below), whose sum is σ = 992282616. Its totient is φ = 271392768.

The previous prime is 540666031. The next prime is 540666073.

It is a happy number.

540666045 is nontrivially palindromic in base 10.

540666045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47692836 + 492973209 = 6906^2 + 22203^2 .

It is not a de Polignac number, because 540666045 - 25 = 540666013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352612 + ... + 354141.

It is an arithmetic number, because the mean of its divisors is an integer number (41345109).

Almost surely, 2540666045 is an apocalyptic number.

It is an amenable number.

540666045 is a deficient number, since it is larger than the sum of its proper divisors (451616571).

540666045 is a wasteful number, since it uses less digits than its factorization.

540666045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706781 (or 706778 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 540666045 is about 23252.2266675689. The cubic root of 540666045 is about 814.6599482160.

It can be divided in two parts, 54066604 and 5, that added together give a square (54066609 = 73532).

The spelling of 540666045 in words is "five hundred forty million, six hundred sixty-six thousand, forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 706753 2120259 3533765 6360777 10601295 12014801 31803885 36044403 60074005 108133209 180222015 540666045