Search a number
-
+
806840320 = 211511131929
BaseRepresentation
bin110000000101110…
…110100000000000
32002020012201211211
4300011312200000
53123022342240
6212021215504
725665013066
oct6005664000
92066181754
10806840320
11384493090
121a6261594
13cb209510
147922a036
154ac78bea
hex30176800

806840320 has 384 divisors, whose sum is σ = 2476656000. Its totient is φ = 247726080.

The previous prime is 806840273. The next prime is 806840369. The reversal of 806840320 is 23048608.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27822066 + ... + 27822094.

It is an arithmetic number, because the mean of its divisors is an integer number (6449625).

Almost surely, 2806840320 is an apocalyptic number.

806840320 is a gapful number since it is divisible by the number (80) 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 806840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328000).

806840320 is an abundant number, since it is smaller than the sum of its proper divisors (1669815680).

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

806840320 is a wasteful number, since it uses less digits than its factorization.

806840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 806840320 is about 28404.9347825338. The cubic root of 806840320 is about 930.9560907852.

Adding to 806840320 its reverse (23048608), we get a palindrome (829888928).

The spelling of 806840320 in words is "eight hundred six million, eight hundred forty thousand, three hundred twenty".