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540427860 = 223257271863
BaseRepresentation
bin100000001101100…
…100011001010100
31101122220120122200
4200031210121110
52101322142420
6125343124500
716251363300
oct4015443124
91348816580
10540427860
1125806a4a5
12130ba3730
1387c6b5cb
1451abad00
15326a1b90
hex20364654

540427860 has 216 divisors, whose sum is σ = 1936037376. Its totient is φ = 121645440.

The previous prime is 540427817. The next prime is 540427891. The reversal of 540427860 is 68724045.

540427860 is a `hidden beast` number, since 540 + 42 + 78 + 6 + 0 = 666.

540427860 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 625789 + ... + 626651.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2540427860 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 540427860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968018688).

540427860 is an abundant number, since it is smaller than the sum of its proper divisors (1395609516).

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

540427860 is a wasteful number, since it uses less digits than its factorization.

540427860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 540427860 is about 23247.1043358092. The cubic root of 540427860 is about 814.5403005563.

The spelling of 540427860 in words is "five hundred forty million, four hundred twenty-seven thousand, eight hundred sixty".