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540066240 = 26325724389
BaseRepresentation
bin100000001100001…
…100000111000000
31101122020012121100
4200030030013000
52101224104430
6125331254400
716245326100
oct4014140700
91348205540
10540066240
1125794283a
12130a4a400
1387b72b2c
1451a25200
153262e960
hex2030c1c0

540066240 has 504 divisors, whose sum is σ = 2235982320. Its totient is φ = 119218176.

The previous prime is 540066223. The next prime is 540066253. The reversal of 540066240 is 42660045.

It is a happy number.

540066240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6068116 + ... + 6068204.

Almost surely, 2540066240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117991160).

540066240 is an abundant number, since it is smaller than the sum of its proper divisors (1695916080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540066240 is a wasteful number, since it uses less digits than its factorization.

540066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540066240 is about 23239.3252914107. The cubic root of 540066240 is about 814.3585804732.

The spelling of 540066240 in words is "five hundred forty million, sixty-six thousand, two hundred forty".