Search a number
-
+
6838104 = 23371331101
BaseRepresentation
bin11010000101011101011000
3110212102010010
4122011131120
53222304404
6402321520
7112060110
oct32053530
913772103
106838104
113950629
1223592a0
131555620
14ca0040
15901189
hex685758

6838104 has 128 divisors (see below), whose sum is σ = 21934080. Its totient is φ = 1728000.

The previous prime is 6838099. The next prime is 6838123. The reversal of 6838104 is 4018386.

It is a happy number.

It is a congruent 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, 67654 + ... + 67754.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 26838104 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 6838104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967040).

6838104 is an abundant number, since it is smaller than the sum of its proper divisors (15095976).

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

6838104 is a wasteful number, since it uses less digits than its factorization.

6838104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6838104 is about 2614.9768641424. The cubic root of 6838104 is about 189.8068582093.

The spelling of 6838104 in words is "six million, eight hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 101 104 124 156 168 182 186 202 217 248 273 303 312 364 372 403 404 434 546 606 651 707 728 744 806 808 868 1092 1209 1212 1302 1313 1414 1612 1736 2121 2184 2418 2424 2604 2626 2821 2828 3131 3224 3939 4242 4836 5208 5252 5642 5656 6262 7878 8463 8484 9191 9393 9672 10504 11284 12524 15756 16926 16968 18382 18786 21917 22568 25048 27573 31512 33852 36764 37572 40703 43834 55146 65751 67704 73528 75144 81406 87668 110292 122109 131502 162812 175336 220584 244218 263004 284921 325624 488436 526008 569842 854763 976872 1139684 1709526 2279368 3419052 6838104