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540414016 = 268443969
BaseRepresentation
bin100000001101100…
…001000001000000
31101122212212122221
4200031201001000
52101321222031
6125342540424
716251305032
oct4015410100
91348785587
10540414016
1125806005a
12130b97714
1387c6520c
1451ab5c52
153269ca11
hex20361040

540414016 has 14 divisors (see below), whose sum is σ = 1072384190. Its totient is φ = 270206976.

The previous prime is 540414011. The next prime is 540414029. The reversal of 540414016 is 610414045.

It can be written as a sum of positive squares in only one way, i.e., 426009600 + 114404416 = 20640^2 + 10696^2 .

It is not an unprimeable number, because it can be changed into a prime (540414011) 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 as a sum of consecutive naturals, namely, 4221921 + ... + 4222048.

Almost surely, 2540414016 is an apocalyptic number.

It is an amenable number.

540414016 is a deficient number, since it is larger than the sum of its proper divisors (531970174).

540414016 is an equidigital number, since it uses as much as digits as its factorization.

540414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443981 (or 8443971 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 540414016 is about 23246.8065763881. The cubic root of 540414016 is about 814.5333452079.

The spelling of 540414016 in words is "five hundred forty million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 8443969 16887938 33775876 67551752 135103504 270207008 540414016