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540743064 = 233236714621
BaseRepresentation
bin100000001110110…
…001010110011000
31101200111121000220
4200032301112120
52101412234224
6125354000040
716254145251
oct4016612630
91350447026
10540743064
112582652a4
12131116020
138804bc14
1451b5db28
1532715279
hex203b1598

540743064 has 64 divisors (see below), whose sum is σ = 1431786240. Its totient is φ = 169825920.

The previous prime is 540743039. The next prime is 540743117. The reversal of 540743064 is 460347045.

It is a happy number.

It is a super-2 number, since 2×5407430642 = 584806122528216192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29674 + ... + 44294.

It is an arithmetic number, because the mean of its divisors is an integer number (22371660).

Almost surely, 2540743064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540743064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715893120).

540743064 is an abundant number, since it is smaller than the sum of its proper divisors (891043176).

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

540743064 is a wasteful number, since it uses less digits than its factorization.

540743064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14720 (or 14716 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 540743064 is about 23253.8827725608. The cubic root of 540743064 is about 814.6986297126.

The spelling of 540743064 in words is "five hundred forty million, seven hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 67 69 92 134 138 184 201 268 276 402 536 552 804 1541 1608 3082 4623 6164 9246 12328 14621 18492 29242 36984 43863 58484 87726 116968 175452 336283 350904 672566 979607 1008849 1345132 1959214 2017698 2690264 2938821 3918428 4035396 5877642 7836856 8070792 11755284 22530961 23510568 45061922 67592883 90123844 135185766 180247688 270371532 540743064