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540061167 = 3892022701
BaseRepresentation
bin100000001100001…
…010110111101111
31101122012221122110
4200030022313233
52101223424132
6125331215103
716245305232
oct4014126757
91348187573
10540061167
11257939a48
12130a47493
1387b70729
1451a23419
153262d1cc
hex2030adef

540061167 has 8 divisors (see below), whose sum is σ = 728172720. Its totient is φ = 355995200.

The previous prime is 540061157. The next prime is 540061231. The reversal of 540061167 is 761160045.

540061167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540061167 is a prime.

It is a super-3 number, since 3×5400611673 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540061157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1011084 + ... + 1011617.

It is an arithmetic number, because the mean of its divisors is an integer number (91021590).

Almost surely, 2540061167 is an apocalyptic number.

540061167 is a deficient number, since it is larger than the sum of its proper divisors (188111553).

540061167 is a wasteful number, since it uses less digits than its factorization.

540061167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022793.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 540061167 is about 23239.2161442679. The cubic root of 540061167 is about 814.3560306292.

The spelling of 540061167 in words is "five hundred forty million, sixty-one thousand, one hundred sixty-seven".

Divisors: 1 3 89 267 2022701 6068103 180020389 540061167