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5726560560 = 243573123547
BaseRepresentation
bin1010101010101010…
…00110000100110000
3112210002112102021120
411111111012010300
543211444414220
62344124022240
7261623650560
oct52525060460
915702472246
105726560560
112479548786
121139991980
1370353a596
143c4790da0
15237b23a40
hex155546130

5726560560 has 240 divisors, whose sum is σ = 20969872128. Its totient is φ = 1266347520.

The previous prime is 5726560507. The next prime is 5726560573. The reversal of 5726560560 is 650656275.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612707 + ... + 1616253.

Almost surely, 25726560560 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 5726560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10484936064).

5726560560 is an abundant number, since it is smaller than the sum of its proper divisors (15243311568).

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

5726560560 is a wasteful number, since it uses less digits than its factorization.

5726560560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 5726560560 is about 75674.0415201937. The cubic root of 5726560560 is about 1789.0862829357.

The spelling of 5726560560 in words is "five billion, seven hundred twenty-six million, five hundred sixty thousand, five hundred sixty".