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6838020 = 22365767
BaseRepresentation
bin11010000101011100000100
3110212102000000
4122011130010
53222304040
6402321300
7112056630
oct32053404
913772000
106838020
113950562
122359230
131555587
14c9ddc0
15901130
hex685704

6838020 has 168 divisors, whose sum is σ = 24972864. Its totient is φ = 1539648.

The previous prime is 6838019. The next prime is 6838033. The reversal of 6838020 is 208386.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 102027 + ... + 102093.

It is an arithmetic number, because the mean of its divisors is an integer number (148648).

Almost surely, 26838020 is an apocalyptic number.

6838020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6838020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486432).

6838020 is an abundant number, since it is smaller than the sum of its proper divisors (18134844).

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

6838020 is a wasteful number, since it uses less digits than its factorization.

6838020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6838020 is about 2614.9608027655. The cubic root of 6838020 is about 189.8060810035.

The spelling of 6838020 in words is "six million, eight hundred thirty-eight thousand, twenty".