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540438020 = 22527021901
BaseRepresentation
bin100000001101100…
…110111000000100
31101122221002120222
4200031212320010
52101323004040
6125343243512
716251435023
oct4015467004
91348832528
10540438020
112580770a1
12130ba9598
1387c73115
1451ac08ba
15326a4bb5
hex20366e04

540438020 has 12 divisors (see below), whose sum is σ = 1134919884. Its totient is φ = 216175200.

The previous prime is 540437999. The next prime is 540438029. The reversal of 540438020 is 20834045.

It can be written as a sum of positive squares in 2 ways, for example, as 200109316 + 340328704 = 14146^2 + 18448^2 .

It is not an unprimeable number, because it can be changed into a prime (540438029) 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 3 ways as a sum of consecutive naturals, for example, 13510931 + ... + 13510970.

It is an arithmetic number, because the mean of its divisors is an integer number (94576657).

Almost surely, 2540438020 is an apocalyptic number.

It is an amenable number.

540438020 is an abundant number, since it is smaller than the sum of its proper divisors (594481864).

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

540438020 is a wasteful number, since it uses less digits than its factorization.

540438020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27021910 (or 27021908 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 540438020 is about 23247.3228566216. The cubic root of 540438020 is about 814.5454049549.

The spelling of 540438020 in words is "five hundred forty million, four hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 27021901 54043802 108087604 135109505 270219010 540438020