Search a number
-
+
563137036 = 2271117131821
BaseRepresentation
bin100001100100001…
…100101000001100
31110020122022210021
4201210030220030
52123130341121
6131513551524
716645404640
oct4144145014
91406568707
10563137036
11269970210
121387155a4
138c88cba7
1454b0cc20
153468a641
hex2190ca0c

563137036 has 96 divisors (see below), whose sum is σ = 1312464384. Its totient is φ = 204672000.

The previous prime is 563136983. The next prime is 563137039. The reversal of 563137036 is 630731365.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 563136992 and 563137010.

It is not an unprimeable number, because it can be changed into a prime (563137039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685506 + ... + 686326.

It is an arithmetic number, because the mean of its divisors is an integer number (13671504).

Almost surely, 2563137036 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 563137036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656232192).

563137036 is an abundant number, since it is smaller than the sum of its proper divisors (749327348).

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

563137036 is a wasteful number, since it uses less digits than its factorization.

563137036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 563137036 is about 23730.5085491230. The cubic root of 563137036 is about 825.7933163672.

The spelling of 563137036 in words is "five hundred sixty-three million, one hundred thirty-seven thousand, thirty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 131 154 187 238 262 308 374 476 524 748 821 917 1309 1441 1642 1834 2227 2618 2882 3284 3668 4454 5236 5747 5764 8908 9031 10087 11494 13957 15589 18062 20174 22988 24497 27914 31178 36124 40348 48994 55828 62356 63217 97699 97988 107551 126434 153527 171479 195398 215102 252868 307054 342958 390796 430204 614108 685916 752857 1074689 1183061 1505714 1828367 2149378 2366122 3011428 3656734 4298756 4732244 7313468 8281427 12798569 16562854 20112037 25597138 33125708 40224074 51194276 80448148 140784259 281568518 563137036