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6820333 = 13240357
BaseRepresentation
bin11010000001000111101101
3110211111201221
4122001013231
53221222313
6402103341
7111654232
oct32010755
913744657
106820333
113939243
12234ab51
13154a500
14c97789
158eac8d
hex6811ed

6820333 has 6 divisors (see below), whose sum is σ = 7385514. Its totient is φ = 6295536.

The previous prime is 6820291. The next prime is 6820339. The reversal of 6820333 is 3330286.

It can be written as a sum of positive squares in 3 ways, for example, as 605284 + 6215049 = 778^2 + 2493^2 .

It is a de Polignac number, because none of the positive numbers 2k-6820333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6820298 and 6820307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820339) 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 5 ways as a sum of consecutive naturals, for example, 20010 + ... + 20347.

It is an arithmetic number, because the mean of its divisors is an integer number (1230919).

Almost surely, 26820333 is an apocalyptic number.

It is an amenable number.

6820333 is a deficient number, since it is larger than the sum of its proper divisors (565181).

6820333 is a wasteful number, since it uses less digits than its factorization.

6820333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40383 (or 40370 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 6820333 is about 2611.5767268070. The cubic root of 6820333 is about 189.6422909602.

The spelling of 6820333 in words is "six million, eight hundred twenty thousand, three hundred thirty-three".

Divisors: 1 13 169 40357 524641 6820333