Search a number
-
+
5130564 = 2232329641
BaseRepresentation
bin10011100100100101000100
3100122122210220
4103210211010
52303134224
6301544340
761415625
oct23444504
910578726
105130564
11299473a
1218750b0
1310a834a
14977a4c
156b5279
hex4e4944

5130564 has 48 divisors (see below), whose sum is σ = 12942720. Its totient is φ = 1576960.

The previous prime is 5130557. The next prime is 5130571. The reversal of 5130564 is 4650315.

It is an interprime number because it is at equal distance from previous prime (5130557) and next prime (5130571).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7684 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (269640).

Almost surely, 25130564 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 5130564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471360).

5130564 is an abundant number, since it is smaller than the sum of its proper divisors (7812156).

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

5130564 is a wasteful number, since it uses less digits than its factorization.

5130564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5130564 is about 2265.0748332009. The cubic root of 5130564 is about 172.4732325616.

Adding to 5130564 its reverse (4650315), we get a palindrome (9780879).

Subtracting from 5130564 its reverse (4650315), we obtain a square (480249 = 6932).

The spelling of 5130564 in words is "five million, one hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 641 667 1282 1334 1923 2001 2564 2668 3846 4002 7692 8004 14743 18589 29486 37178 44229 55767 58972 74356 88458 111534 176916 223068 427547 855094 1282641 1710188 2565282 5130564