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540804024 = 23327511167
BaseRepresentation
bin100000001111000…
…000001110111000
31101200121200122200
4200033000032320
52101421212044
6125355150200
716254521055
oct4017001670
91350550580
10540804024
112582a7082
12131145360
13880708a7
1451b7802c
1532728369
hex203c03b8

540804024 has 24 divisors (see below), whose sum is σ = 1464677760. Its totient is φ = 180267984.

The previous prime is 540804023. The next prime is 540804029. The reversal of 540804024 is 420408045.

540804024 is a `hidden beast` number, since 540 + 80 + 40 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540804023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3755512 + ... + 3755655.

It is an arithmetic number, because the mean of its divisors is an integer number (61028240).

Almost surely, 2540804024 is an apocalyptic number.

It is an amenable number.

540804024 is an abundant number, since it is smaller than the sum of its proper divisors (923873736).

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

540804024 is a wasteful number, since it uses less digits than its factorization.

540804024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7511179 (or 7511172 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 540804024 is about 23255.1934844671. The cubic root of 540804024 is about 814.7292432428.

The spelling of 540804024 in words is "five hundred forty million, eight hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7511167 15022334 22533501 30044668 45067002 60089336 67600503 90134004 135201006 180268008 270402012 540804024