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540657045 = 3354004867
BaseRepresentation
bin100000001110011…
…100010110010101
31101200100020001000
4200032130112111
52101402011140
6125352053513
716253336415
oct4016342625
91350306030
10540657045
11258206705
12131094299
138801ba16
1451b3a645
15326e9a30
hex2039c595

540657045 has 16 divisors (see below), whose sum is σ = 961168320. Its totient is φ = 288350352.

The previous prime is 540657031. The next prime is 540657097. The reversal of 540657045 is 540756045.

It is a happy number.

540657045 is a `hidden beast` number, since 5 + 40 + 6 + 570 + 45 = 666.

It is not a de Polignac number, because 540657045 - 27 = 540656917 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 2002299 + ... + 2002568.

It is an arithmetic number, because the mean of its divisors is an integer number (60073020).

Almost surely, 2540657045 is an apocalyptic number.

It is an amenable number.

540657045 is a deficient number, since it is larger than the sum of its proper divisors (420511275).

540657045 is a wasteful number, since it uses less digits than its factorization.

540657045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004881 (or 4004875 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 540657045 is about 23252.0331369108. The cubic root of 540657045 is about 814.6554278777.

The spelling of 540657045 in words is "five hundred forty million, six hundred fifty-seven thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 135 4004867 12014601 20024335 36043803 60073005 108131409 180219015 540657045