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540189729 = 36741001
BaseRepresentation
bin100000001100101…
…010010000100001
31101122110111000000
4200030222100201
52101242032404
6125334050213
716246352112
oct4014522041
91348414000
10540189729
11257a175a2
12130aa9969
1387bb70c1
1451a58209
1532656339
hex2032a421

540189729 has 14 divisors (see below), whose sum is σ = 809915186. Its totient is φ = 360126000.

The previous prime is 540189673. The next prime is 540189851. The reversal of 540189729 is 927981045.

540189729 is a `hidden beast` number, since 540 + 1 + 89 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 357210000 + 182979729 = 18900^2 + 13527^2 .

It is not a de Polignac number, because 540189729 - 215 = 540156961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540181729) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 369772 + ... + 371229.

Almost surely, 2540189729 is an apocalyptic number.

It is an amenable number.

540189729 is a deficient number, since it is larger than the sum of its proper divisors (269725457).

540189729 is an frugal number, since it uses more digits than its factorization.

540189729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741019 (or 741004 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 540189729 is about 23241.9820368229. The cubic root of 540189729 is about 814.4206448741.

The spelling of 540189729 in words is "five hundred forty million, one hundred eighty-nine thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 741001 2223003 6669009 20007027 60021081 180063243 540189729