Search a number
-
+
6816310380 = 223751131457
BaseRepresentation
bin1100101100100100…
…01010010001101100
3122121001002110000000
412112102022101230
5102424433413010
63044213104300
7330625453005
oct62622122154
918531073000
106816310380
1129886a1970
1213a2928090
1384823c869
144893c21ac
1529d6327c0
hex19648a46c

6816310380 has 384 divisors, whose sum is σ = 24228126720. Its totient is φ = 1595635200.

The previous prime is 6816310379. The next prime is 6816310387. The reversal of 6816310380 is 830136186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6816310387) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14915112 + ... + 14915568.

It is an arithmetic number, because the mean of its divisors is an integer number (63094080).

Almost surely, 26816310380 is an apocalyptic number.

6816310380 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 6816310380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114063360).

6816310380 is an abundant number, since it is smaller than the sum of its proper divisors (17411816340).

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

6816310380 is a wasteful number, since it uses less digits than its factorization.

6816310380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6816310380 is about 82560.9494858193. The cubic root of 6816310380 is about 1896.0500006843.

The spelling of 6816310380 in words is "six billion, eight hundred sixteen million, three hundred ten thousand, three hundred eighty".