Search a number
-
+
6820704 = 2532112153
BaseRepresentation
bin11010000001001101100000
3110211112020200
4122001031200
53221230304
6402105200
7111655302
oct32011540
913745220
106820704
113939550
12234b200
13154a727
14c97972
158eae39
hex681360

6820704 has 72 divisors (see below), whose sum is σ = 21169512. Its totient is φ = 2065920.

The previous prime is 6820663. The next prime is 6820711. The reversal of 6820704 is 4070286.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2092 + ... + 4244.

It is an arithmetic number, because the mean of its divisors is an integer number (294021).

Almost surely, 26820704 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 6820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584756).

6820704 is an abundant number, since it is smaller than the sum of its proper divisors (14348808).

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

6820704 is a wasteful number, since it uses less digits than its factorization.

6820704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6820704 is about 2611.6477557282. The cubic root of 6820704 is about 189.6457295027.

The spelling of 6820704 in words is "six million, eight hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 2153 3168 4306 6459 8612 12918 17224 19377 23683 25836 34448 38754 47366 51672 68896 71049 77508 94732 103344 142098 155016 189464 206688 213147 284196 310032 378928 426294 568392 620064 757856 852588 1136784 1705176 2273568 3410352 6820704