Search a number
-
+
5300704800 = 25365261149
BaseRepresentation
bin1001110111111001…
…00101011000100000
3111200102012201000000
410323330211120200
541323440023200
62233552300000
7245233150566
oct47374453040
914612181000
105300704800
112280122a76
12103b241600
13666245421
14383db9a36
15210554300
hex13bf25620

5300704800 has 504 divisors, whose sum is σ = 19852049700. Its totient is φ = 1381017600.

The previous prime is 5300704769. The next prime is 5300704817. The reversal of 5300704800 is 84070035.

It can be written as a sum of positive squares in 6 ways, for example, as 80353296 + 5220351504 = 8964^2 + 72252^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 35575126 + ... + 35575274.

Almost surely, 25300704800 is an apocalyptic number.

5300704800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9926024850).

5300704800 is an abundant number, since it is smaller than the sum of its proper divisors (14551344900).

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

5300704800 is a wasteful number, since it uses less digits than its factorization.

5300704800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5300704800 is about 72805.9393181628. The cubic root of 5300704800 is about 1743.5906826349.

Adding to 5300704800 its reverse (84070035), we get a palindrome (5384774835).

The spelling of 5300704800 in words is "five billion, three hundred million, seven hundred four thousand, eight hundred".