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6820268 = 2271341457
BaseRepresentation
bin11010000001000110101100
3110211111122112
4122001012230
53221222033
6402103152
7111654110
oct32010654
913744575
106820268
113939194
12234aab8
13154a480
14c97740
158eac48
hex6811ac

6820268 has 48 divisors (see below), whose sum is σ = 15081024. Its totient is φ = 2626560.

The previous prime is 6820267. The next prime is 6820277. The reversal of 6820268 is 8620286.

It is a happy number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6820267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14696 + ... + 15152.

It is an arithmetic number, because the mean of its divisors is an integer number (314188).

Almost surely, 26820268 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 6820268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540512).

6820268 is an abundant number, since it is smaller than the sum of its proper divisors (8260756).

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

6820268 is a wasteful number, since it uses less digits than its factorization.

6820268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 6820268 is about 2611.5642821880. The cubic root of 6820268 is about 189.6416885073.

The spelling of 6820268 in words is "six million, eight hundred twenty thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 457 533 574 914 1066 1148 1828 2132 3199 3731 5941 6398 7462 11882 12796 14924 18737 23764 37474 41587 74948 83174 131159 166348 243581 262318 487162 524636 974324 1705067 3410134 6820268