Search a number
-
+
5300115400 = 2352232967593
BaseRepresentation
bin1001110111110100…
…10101011111001000
3111200101002202111101
410323322111133020
541323312143100
62233531511144
7245225144326
oct47372253710
914611082441
105300115400
11227a860168
12103abb84b4
1366609a078
14383ca4d16
1521048986a
hex13be957c8

5300115400 has 192 divisors, whose sum is σ = 13523241600. Its totient is φ = 1925468160.

The previous prime is 5300115389. The next prime is 5300115407. The reversal of 5300115400 is 45110035.

It is not an unprimeable number, because it can be changed into a prime (5300115407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8937504 + ... + 8938096.

It is an arithmetic number, because the mean of its divisors is an integer number (70433550).

Almost surely, 25300115400 is an apocalyptic number.

5300115400 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 5300115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761620800).

5300115400 is an abundant number, since it is smaller than the sum of its proper divisors (8223126200).

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

5300115400 is a wasteful number, since it uses less digits than its factorization.

5300115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 5300115400 is about 72801.8914589449. The cubic root of 5300115400 is about 1743.5260553523.

Adding to 5300115400 its reverse (45110035), we get a palindrome (5345225435).

The spelling of 5300115400 in words is "five billion, three hundred million, one hundred fifteen thousand, four hundred".