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542727360 = 26325726921
BaseRepresentation
bin100000010110010…
…101110011000000
31101211020101222100
4200112111303000
52102414233420
6125504310400
716310051340
oct4026256300
91354211870
10542727360
112593a010a
12131912400
1388595166
1452118d20
15329a8190
hex20595cc0

542727360 has 168 divisors, whose sum is σ = 2133514656. Its totient is φ = 124047360.

The previous prime is 542727349. The next prime is 542727487. The reversal of 542727360 is 63727245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

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 23 ways as a sum of consecutive naturals, for example, 6700 + ... + 33620.

It is an arithmetic number, because the mean of its divisors is an integer number (12699492).

Almost surely, 2542727360 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 542727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066757328).

542727360 is an abundant number, since it is smaller than the sum of its proper divisors (1590787296).

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

542727360 is a wasteful number, since it uses less digits than its factorization.

542727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26951 (or 26938 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 542727360 is about 23296.5096098107. The cubic root of 542727360 is about 815.6939452002.

The spelling of 542727360 in words is "five hundred forty-two million, seven hundred twenty-seven thousand, three hundred sixty".