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6806982 = 2372132137
BaseRepresentation
bin11001111101110111000110
3110210211102110
4121331313012
53220310412
6401521450
7111600300
oct31756706
913724373
106806982
11392a206
122343286
131544400
14c92970
158e6d3c
hex67ddc6

6806982 has 72 divisors (see below), whose sum is σ = 17273736. Its totient is φ = 1782144.

The previous prime is 6806981. The next prime is 6806993. The reversal of 6806982 is 2896086.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6806982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806981) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49618 + ... + 49754.

It is an arithmetic number, because the mean of its divisors is an integer number (239913).

Almost surely, 26806982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6806982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8636868).

6806982 is an abundant number, since it is smaller than the sum of its proper divisors (10466754).

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

6806982 is a wasteful number, since it uses less digits than its factorization.

6806982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6806982 is about 2609.0193560033. The cubic root of 6806982 is about 189.5184666971.

The spelling of 6806982 in words is "six million, eight hundred six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 137 147 169 182 273 274 294 338 411 507 546 637 822 959 1014 1183 1274 1781 1911 1918 2366 2877 3549 3562 3822 5343 5754 6713 7098 8281 10686 12467 13426 16562 20139 23153 24843 24934 37401 40278 46306 49686 69459 74802 87269 138918 162071 174538 261807 324142 486213 523614 972426 1134497 2268994 3403491 6806982