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6830832 = 2431011409
BaseRepresentation
bin11010000011101011110000
3110212001010210
4122003223300
53222041312
6402224120
7112026651
oct32035360
913761123
106830832
113946118
122355040
131552218
14c9b528
158ede3c
hex683af0

6830832 has 40 divisors (see below), whose sum is σ = 17833680. Its totient is φ = 2252800.

The previous prime is 6830797. The next prime is 6830833. The reversal of 6830832 is 2380386.

It is a self number, because there is not a number n which added to its sum of digits gives 6830832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6830833) 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 7 ways as a sum of consecutive naturals, for example, 4144 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (445842).

Almost surely, 26830832 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 6830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916840).

6830832 is an abundant number, since it is smaller than the sum of its proper divisors (11002848).

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

6830832 is a wasteful number, since it uses less digits than its factorization.

6830832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6830832 is about 2613.5860422033. The cubic root of 6830832 is about 189.7395508071.

The spelling of 6830832 in words is "six million, eight hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1409 1616 2424 2818 4227 4848 5636 8454 11272 16908 22544 33816 67632 142309 284618 426927 569236 853854 1138472 1707708 2276944 3415416 6830832