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540018729 = 32314394409
BaseRepresentation
bin100000001100000…
…000100000101001
31101122010210102200
4200030000200221
52101221044404
6125330250413
716245040425
oct4014004051
91348123380
10540018729
11257910078
12130a26a09
1387b57313
1451a11b85
1532620839
hex20300829

540018729 has 24 divisors (see below), whose sum is σ = 807206400. Its totient is φ = 347526720.

The previous prime is 540018709. The next prime is 540018757. The reversal of 540018729 is 927810045.

It is not a de Polignac number, because 540018729 - 225 = 506464297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540018693 and 540018702.

It is not an unprimeable number, because it can be changed into a prime (540018709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120277 + ... + 124685.

It is an arithmetic number, because the mean of its divisors is an integer number (33633600).

Almost surely, 2540018729 is an apocalyptic number.

It is an amenable number.

540018729 is a deficient number, since it is larger than the sum of its proper divisors (267187671).

540018729 is a wasteful number, since it uses less digits than its factorization.

540018729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4885 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 540018729 is about 23238.3030576675. The cubic root of 540018729 is about 814.3346993747.

The spelling of 540018729 in words is "five hundred forty million, eighteen thousand, seven hundred twenty-nine".

Divisors: 1 3 9 31 93 279 439 1317 3951 4409 13227 13609 39681 40827 122481 136679 410037 1230111 1935551 5806653 17419959 60002081 180006243 540018729