Search a number
-
+
6809430000 = 24354613
BaseRepresentation
bin1100101011101111…
…11010011111110000
3122120120010212220010
412111313322133300
5102421203230000
63043405414520
7330513125412
oct62567723760
918516125803
106809430000
1129848225aa
1213a056a440
138469a0c29
144885109b2
1529cc23d50
hex195dfa7f0

6809430000 has 200 divisors, whose sum is σ = 22348108816. Its totient is φ = 1786080000.

The previous prime is 6809429989. The next prime is 6809430011. The reversal of 6809430000 is 349086.

It is an interprime number because it is at equal distance from previous prime (6809429989) and next prime (6809430011).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 6809430000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111629970 + ... + 111630030.

Almost surely, 26809430000 is an apocalyptic number.

6809430000 is a gapful number since it is divisible by the number (60) 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 6809430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11174054408).

6809430000 is an abundant number, since it is smaller than the sum of its proper divisors (15538678816).

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

6809430000 is an frugal number, since it uses more digits than its factorization.

6809430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6809430000 is about 82519.2704766590. The cubic root of 6809430000 is about 1895.4118286319.

6809430000 divided by its sum of digits (30) gives a cube (226981000 = 6103).

Adding to 6809430000 its reverse (349086), we get a palindrome (6809779086).

The spelling of 6809430000 in words is "six billion, eight hundred nine million, four hundred thirty thousand".