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540973845 = 32512021641
BaseRepresentation
bin100000001111101…
…001101100010101
31101200221022121100
4200033221230111
52101442130340
6125402540313
716256126136
oct4017515425
91350838540
10540973845
11258402725
12131207699
13880ccc89
1451bbdc8d
153275d830
hex203e9b15

540973845 has 12 divisors (see below), whose sum is σ = 937688076. Its totient is φ = 288519360.

The previous prime is 540973817. The next prime is 540973861. The reversal of 540973845 is 548379045.

540973845 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 333354564 + 207619281 = 18258^2 + 14409^2 .

It is not a de Polignac number, because 540973845 - 27 = 540973717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 12021641 = 540973845 / (5 + 4 + 0 + 9 + 7 + 3 + 8 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 540973845.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6010776 + ... + 6010865.

It is an arithmetic number, because the mean of its divisors is an integer number (78140673).

Almost surely, 2540973845 is an apocalyptic number.

It is an amenable number.

540973845 is a deficient number, since it is larger than the sum of its proper divisors (396714231).

540973845 is a wasteful number, since it uses less digits than its factorization.

540973845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12021652 (or 12021649 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 540973845 is about 23258.8444467906. The cubic root of 540973845 is about 814.8145135989.

The spelling of 540973845 in words is "five hundred forty million, nine hundred seventy-three thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 12021641 36064923 60108205 108194769 180324615 540973845