Search a number
-
+
563099040 = 2535572069
BaseRepresentation
bin100001100100000…
…011010110100000
31110020120101200000
4201210003112200
52123123132130
6131513100000
716645156110
oct4144032640
91406511600
10563099040
11269944709
121386b7600
138c8787ca
1454add040
153467e260
hex219035a0

563099040 has 288 divisors, whose sum is σ = 2278523520. Its totient is φ = 128646144.

The previous prime is 563099027. The next prime is 563099051. The reversal of 563099040 is 40990365.

563099040 is a `hidden beast` number, since 563 + 0 + 9 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 563098986 and 563099004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271126 + ... + 273194.

It is an arithmetic number, because the mean of its divisors is an integer number (7911540).

Almost surely, 2563099040 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 563099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139261760).

563099040 is an abundant number, since it is smaller than the sum of its proper divisors (1715424480).

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

563099040 is a wasteful number, since it uses less digits than its factorization.

563099040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 563099040 is about 23729.7079628048. The cubic root of 563099040 is about 825.7747432985.

The spelling of 563099040 in words is "five hundred sixty-three million, ninety-nine thousand, forty".