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540221967 = 3425725951
BaseRepresentation
bin100000001100110…
…010001000001111
31101122112010020000
4200030302020033
52101244100332
6125334455343
716246545105
oct4014621017
91348463200
10540221967
11257a3983a
12130b04553
1387bc898c
1451a65c75
1532660b7c
hex2033220f

540221967 has 20 divisors (see below), whose sum is σ = 810169536. Its totient is φ = 358732800.

The previous prime is 540221959. The next prime is 540221993. The reversal of 540221967 is 769122045.

540221967 is a `hidden beast` number, since 540 + 2 + 21 + 96 + 7 = 666.

It is not a de Polignac number, because 540221967 - 23 = 540221959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540221267) 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 19 ways as a sum of consecutive naturals, for example, 7842 + ... + 33792.

Almost surely, 2540221967 is an apocalyptic number.

540221967 is a deficient number, since it is larger than the sum of its proper divisors (269947569).

540221967 is a wasteful number, since it uses less digits than its factorization.

540221967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26220 (or 26211 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 540221967 is about 23242.6755559682. The cubic root of 540221967 is about 814.4368458303.

The spelling of 540221967 in words is "five hundred forty million, two hundred twenty-one thousand, nine hundred sixty-seven".

Divisors: 1 3 9 27 81 257 771 2313 6939 20817 25951 77853 233559 700677 2102031 6669407 20008221 60024663 180073989 540221967