Search a number
-
+
563032680 = 23357292797
BaseRepresentation
bin100001100011110…
…011001001101000
31110020110000122020
4201203303021220
52123114021210
6131511424440
716644461460
oct4143631150
91406400566
10563032680
112698a9871
12138685120
138c854542
1454ac2ba0
1534669770
hex218f3268

563032680 has 192 divisors, whose sum is σ = 2001767040. Its totient is φ = 124099584.

The previous prime is 563032667. The next prime is 563032703. The reversal of 563032680 is 86230365.

It is a super-3 number, since 3×5630326803 (a number of 27 digits) contains 333 as substring.

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, 706042 + ... + 706838.

It is an arithmetic number, because the mean of its divisors is an integer number (10425870).

Almost surely, 2563032680 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 563032680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000883520).

563032680 is an abundant number, since it is smaller than the sum of its proper divisors (1438734360).

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

563032680 is a wasteful number, since it uses less digits than its factorization.

563032680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 563032680 is about 23728.3096743110. The cubic root of 563032680 is about 825.7423034370.

The spelling of 563032680 in words is "five hundred sixty-three million, thirty-two thousand, six hundred eighty".