Search a number
-
+
6683796 = 223472421
BaseRepresentation
bin11001011111110010010100
3110120120110000
4121133302110
53202340141
6355131300
7110545200
oct31376224
913516400
106683796
1138556a9
1222a3b30
131500312
14c5db00
158c05b6
hex65fc94

6683796 has 90 divisors (see below), whose sum is σ = 20373738. Its totient is φ = 1905120.

The previous prime is 6683767. The next prime is 6683797. The reversal of 6683796 is 6973866.

6683796 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3572100 + 3111696 = 1890^2 + 1764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6683797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15666 + ... + 16086.

Almost surely, 26683796 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 6683796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10186869).

6683796 is an abundant number, since it is smaller than the sum of its proper divisors (13689942).

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

6683796 is a wasteful number, since it uses less digits than its factorization.

6683796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 6683796 is about 2585.3038506141. The cubic root of 6683796 is about 188.3682611145.

The spelling of 6683796 in words is "six million, six hundred eighty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 421 441 567 588 756 842 882 1134 1263 1323 1684 1764 2268 2526 2646 2947 3789 3969 5052 5292 5894 7578 7938 8841 11367 11788 15156 15876 17682 20629 22734 26523 34101 35364 41258 45468 53046 61887 68202 79569 82516 106092 123774 136404 159138 185661 238707 247548 318276 371322 477414 556983 742644 954828 1113966 1670949 2227932 3341898 6683796