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820293109 = 4120007149
BaseRepresentation
bin110000111001001…
…010110111110101
32010011112012121021
4300321022313311
53134443334414
6213221421141
726220243046
oct6071126765
92104465537
10820293109
11391041399
121aa86a7b1
13100c3984c
147ad2c8cd
154c034c24
hex30e4adf5

820293109 has 4 divisors (see below), whose sum is σ = 840300300. Its totient is φ = 800285920.

The previous prime is 820293083. The next prime is 820293121. The reversal of 820293109 is 901392028.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 65966884 + 754326225 = 8122^2 + 27465^2 .

It is a cyclic number.

It is not a de Polignac number, because 820293109 - 29 = 820292597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820293709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10003534 + ... + 10003615.

It is an arithmetic number, because the mean of its divisors is an integer number (210075075).

Almost surely, 2820293109 is an apocalyptic number.

It is an amenable number.

820293109 is a deficient number, since it is larger than the sum of its proper divisors (20007191).

820293109 is a wasteful number, since it uses less digits than its factorization.

820293109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20007190.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 820293109 is about 28640.7595744247. The cubic root of 820293109 is about 936.1016722566.

The spelling of 820293109 in words is "eight hundred twenty million, two hundred ninety-three thousand, one hundred nine".

Divisors: 1 41 20007149 820293109