Search a number
-
+
5685530760 = 23325721324793
BaseRepresentation
bin1010100101110001…
…00101000010001000
3112200020022212222100
411102320211002020
543120443441020
62340100353400
7260615133300
oct52270450210
915606285870
105685530760
112458374458
1211280a5860
136c7ba30b0
143bd150600
1523421ba90
hex152e25088

5685530760 has 288 divisors, whose sum is σ = 23149166040. Its totient is φ = 1199536128.

The previous prime is 5685530737. The next prime is 5685530771. The reversal of 5685530760 is 670355865.

5685530760 is a `hidden beast` number, since 56 + 8 + 5 + 530 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5044124484 + 641406276 = 71022^2 + 25326^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 216924 + ... + 241716.

Almost surely, 25685530760 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 5685530760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574583020).

5685530760 is an abundant number, since it is smaller than the sum of its proper divisors (17463635280).

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

5685530760 is a wasteful number, since it uses less digits than its factorization.

5685530760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24837 (or 24823 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5685530760 is about 75402.4585806060. The cubic root of 5685530760 is about 1784.8032078320.

The spelling of 5685530760 in words is "five billion, six hundred eighty-five million, five hundred thirty thousand, seven hundred sixty".