Search a number
-
+
818063820 = 223357243719
BaseRepresentation
bin110000110000101…
…010100111001100
32010000022221121000
4300300222213030
53133411020240
6213101540300
726162266500
oct6060524714
92100287530
10818063820
1138a859502
121a9b74690
13100638c42
147a90c300
154bc44430
hex30c2a9cc

818063820 has 288 divisors, whose sum is σ = 3033676800. Its totient is φ = 182383488.

The previous prime is 818063803. The next prime is 818063833. The reversal of 818063820 is 28360818.

818063820 is a `hidden beast` number, since 8 + 18 + 0 + 638 + 2 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1137421 + ... + 1138139.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2818063820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818063820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516838400).

818063820 is an abundant number, since it is smaller than the sum of its proper divisors (2215612980).

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

818063820 is a wasteful number, since it uses less digits than its factorization.

818063820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 818063820 is about 28601.8149773751. The cubic root of 818063820 is about 935.2528965981.

The spelling of 818063820 in words is "eight hundred eighteen million, sixty-three thousand, eight hundred twenty".