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540649590 = 235132106637
BaseRepresentation
bin100000001110011…
…010100001110110
31101200022211210220
4200032122201312
52101401241330
6125351555210
716253305605
oct4016324166
91350284726
10540649590
11258201048
1213108bb06
1388018500
1451b37a3c
15326e7710
hex2039a876

540649590 has 48 divisors (see below), whose sum is σ = 1405062288. Its totient is φ = 133081728.

The previous prime is 540649573. The next prime is 540649609. The reversal of 540649590 is 95946045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48249 + ... + 58388.

It is an arithmetic number, because the mean of its divisors is an integer number (29272131).

Almost surely, 2540649590 is an apocalyptic number.

540649590 is an abundant number, since it is smaller than the sum of its proper divisors (864412698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540649590 is a wasteful number, since it uses less digits than its factorization.

540649590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106673 (or 106660 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 540649590 is about 23251.8728277960. The cubic root of 540649590 is about 814.6516834929.

The spelling of 540649590 in words is "five hundred forty million, six hundred forty-nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 106637 213274 319911 533185 639822 1066370 1386281 1599555 2772562 3199110 4158843 6931405 8317686 13862810 18021653 20794215 36043306 41588430 54064959 90108265 108129918 180216530 270324795 540649590