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540866560 = 21151317239
BaseRepresentation
bin100000001111001…
…111100000000000
31101200201212102211
4200033033200000
52101430212220
6125400351504
716255201303
oct4017174000
91350655384
10540866560
1125833a063
12131175594
13880931b0
1451b92b3a
153273bb5a
hex203cf800

540866560 has 192 divisors, whose sum is σ = 1485993600. Its totient is φ = 187170816.

The previous prime is 540866549. The next prime is 540866561. The reversal of 540866560 is 65668045.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540866561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262921 + ... + 2263159.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2540866560 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 540866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

540866560 is an abundant number, since it is smaller than the sum of its proper divisors (945127040).

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

540866560 is a wasteful number, since it uses less digits than its factorization.

540866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 540866560 is about 23256.5380054728. The cubic root of 540866560 is about 814.7606458347.

The spelling of 540866560 in words is "five hundred forty million, eight hundred sixty-six thousand, five hundred sixty".