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6826014 = 2321331941
BaseRepresentation
bin11010000010100000011110
3110211210112100
4122002200132
53221413024
6402145530
7112006626
oct32024036
913753470
106826014
113942538
1223522a6
13154cc80
14c99886
158ec7c9
hex68281e

6826014 has 48 divisors (see below), whose sum is σ = 16458624. Its totient is φ = 2030400.

The previous prime is 6826007. The next prime is 6826051. The reversal of 6826014 is 4106286.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6784 + ... + 7724.

It is an arithmetic number, because the mean of its divisors is an integer number (342888).

Almost surely, 26826014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229312).

6826014 is an abundant number, since it is smaller than the sum of its proper divisors (9632610).

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

6826014 is a wasteful number, since it uses less digits than its factorization.

6826014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 990 counting only the distinct ones).

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

The square root of 6826014 is about 2612.6641575220. The cubic root of 6826014 is about 189.6949305632.

The spelling of 6826014 in words is "six million, eight hundred twenty-six thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 941 1209 1882 2418 2823 3627 5646 7254 8469 12233 16938 24466 29171 36699 58342 73398 87513 110097 175026 220194 262539 379223 525078 758446 1137669 2275338 3413007 6826014