Search a number
-
+
5684040000 = 26335419277
BaseRepresentation
bin1010100101100101…
…11001000101000000
3112200010112011001000
411102302321011000
543120103240000
62340004412000
7260566354122
oct52262710500
915603464030
105684040000
112457546421
1211276a7000
136c77a06a2
143bcc83212
15234025000
hex152cb9140

5684040000 has 560 divisors, whose sum is σ = 22059188800. Its totient is φ = 1430784000.

The previous prime is 5684039951. The next prime is 5684040013. The reversal of 5684040000 is 404865.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20519862 + ... + 20520138.

Almost surely, 25684040000 is an apocalyptic number.

5684040000 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 5684040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11029594400).

5684040000 is an abundant number, since it is smaller than the sum of its proper divisors (16375148800).

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

5684040000 is a wasteful number, since it uses less digits than its factorization.

5684040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5684040000 is about 75392.5725784709. The cubic root of 5684040000 is about 1784.6472009481.

Adding to 5684040000 its reverse (404865), we get a palindrome (5684444865).

The spelling of 5684040000 in words is "five billion, six hundred eighty-four million, forty thousand".