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540611664 = 24337929717
BaseRepresentation
bin100000001110010…
…001010001010000
31101200020220210020
4200032101101100
52101344033124
6125351103440
716253060205
oct4016212120
91350226706
10540611664
112581855aa
12131071b80
1388004178
1451b27cac
15326db379
hex20391450

540611664 has 40 divisors (see below), whose sum is σ = 1400312160. Its totient is φ = 179722368.

The previous prime is 540611641. The next prime is 540611723. The reversal of 540611664 is 466116045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3334 + ... + 33050.

It is an arithmetic number, because the mean of its divisors is an integer number (35007804).

Almost surely, 2540611664 is an apocalyptic number.

It is an amenable number.

540611664 is an abundant number, since it is smaller than the sum of its proper divisors (859700496).

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

540611664 is a wasteful number, since it uses less digits than its factorization.

540611664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30107 (or 30101 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 540611664 is about 23251.0572662836. The cubic root of 540611664 is about 814.6326340612.

The spelling of 540611664 in words is "five hundred forty million, six hundred eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 379 758 1137 1516 2274 3032 4548 6064 9096 18192 29717 59434 89151 118868 178302 237736 356604 475472 713208 1426416 11262743 22525486 33788229 45050972 67576458 90101944 135152916 180203888 270305832 540611664