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540051129 = 3260005681
BaseRepresentation
bin100000001100001…
…000011010111001
31101122012102212200
4200030020122321
52101223114004
6125331100413
716245234042
oct4014103271
91348172780
10540051129
11257932452
12130a41709
1387b68ca7
1451a1d8c9
153262a239
hex203086b9

540051129 has 6 divisors (see below), whose sum is σ = 780073866. Its totient is φ = 360034080.

The previous prime is 540051119. The next prime is 540051151. The reversal of 540051129 is 921150045.

540051129 is a `hidden beast` number, since 540 + 0 + 5 + 112 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 522031104 + 18020025 = 22848^2 + 4245^2 .

It is not a de Polignac number, because 540051129 - 212 = 540047033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540051119) 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, 30002832 + ... + 30002849.

It is an arithmetic number, because the mean of its divisors is an integer number (130012311).

Almost surely, 2540051129 is an apocalyptic number.

It is an amenable number.

540051129 is a deficient number, since it is larger than the sum of its proper divisors (240022737).

540051129 is a wasteful number, since it uses less digits than its factorization.

540051129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60005687 (or 60005684 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 540051129 is about 23239.0001721244. Note that the first 3 decimals coincide. The cubic root of 540051129 is about 814.3509851782.

The spelling of 540051129 in words is "five hundred forty million, fifty-one thousand, one hundred twenty-nine".

Divisors: 1 3 9 60005681 180017043 540051129