Search a number
-
+
8820313 = 19253461
BaseRepresentation
bin100001101001…
…011001011001
3121121010012021
4201221121121
54224222223
6513014441
7134654125
oct41513131
917533167
108820313
114a84917
122b54421
131a9a928
141258585
15b9365d
hex869659

8820313 has 12 divisors (see below), whose sum is σ = 9505188. Its totient is φ = 8180640.

The previous prime is 8820299. The next prime is 8820347. The reversal of 8820313 is 3130288.

It can be written as a sum of positive squares in 2 ways, for example, as 4609609 + 4210704 = 2147^2 + 2052^2 .

It is a de Polignac number, because none of the positive numbers 2k-8820313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8820373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18903 + ... + 19363.

It is an arithmetic number, because the mean of its divisors is an integer number (792099).

Almost surely, 28820313 is an apocalyptic number.

It is an amenable number.

8820313 is a deficient number, since it is larger than the sum of its proper divisors (684875).

8820313 is a wasteful number, since it uses less digits than its factorization.

8820313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8820313 is about 2969.9011768071. The cubic root of 8820313 is about 206.6147548538.

Subtracting from 8820313 its sum of digits (25), we obtain a palindrome (8820288).

The spelling of 8820313 in words is "eight million, eight hundred twenty thousand, three hundred thirteen".

Divisors: 1 19 53 361 461 1007 8759 19133 24433 166421 464227 8820313