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6838986 = 23711113131
BaseRepresentation
bin11010000101101011001010
3110212110022210
4122011223022
53222321421
6402325550
7112062510
oct32055312
913773283
106838986
113951260
1223598b6
131555b4b
14ca04b0
15901576
hex685aca

6838986 has 64 divisors (see below), whose sum is σ = 17335296. Its totient is φ = 1747200.

The previous prime is 6838963. The next prime is 6839011. The reversal of 6838986 is 6898386.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 52141 + ... + 52271.

It is an arithmetic number, because the mean of its divisors is an integer number (270864).

Almost surely, 26838986 is an apocalyptic number.

6838986 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6838986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8667648).

6838986 is an abundant number, since it is smaller than the sum of its proper divisors (10496310).

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

6838986 is a wasteful number, since it uses less digits than its factorization.

6838986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267.

The product of its digits is 497664, while the sum is 48.

The square root of 6838986 is about 2615.1455026442. The cubic root of 6838986 is about 189.8150184855.

It can be divided in two parts, 683 and 8986, that added together give a palindrome (9669).

The spelling of 6838986 in words is "six million, eight hundred thirty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 113 131 154 226 231 262 339 393 462 678 786 791 917 1243 1441 1582 1834 2373 2486 2751 2882 3729 4323 4746 5502 7458 8646 8701 10087 14803 17402 20174 26103 29606 30261 44409 52206 60522 88818 103621 162833 207242 310863 325666 488499 621726 976998 1139831 2279662 3419493 6838986