Search a number
-
+
6796368 = 2432109433
BaseRepresentation
bin11001111011010001010000
3110210021212100
4121323101100
53214440433
6401400400
7111524325
oct31732120
913707770
106796368
113922237
122339100
13153c627
14c8cb4c
158e3b13
hex67b450

6796368 has 60 divisors (see below), whose sum is σ = 19239220. Its totient is φ = 2239488.

The previous prime is 6796313. The next prime is 6796393. The reversal of 6796368 is 8636976.

6796368 is a `hidden beast` number, since 6 + 7 + 9 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 4210704 = 1608^2 + 2052^2 .

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 11 ways as a sum of consecutive naturals, for example, 15480 + ... + 15912.

Almost surely, 26796368 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 6796368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9619610).

6796368 is an abundant number, since it is smaller than the sum of its proper divisors (12442852).

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

6796368 is a wasteful number, since it uses less digits than its factorization.

6796368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 547 counting only the distinct ones).

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

The square root of 6796368 is about 2606.9844648559. The cubic root of 6796368 is about 189.4199112513.

The spelling of 6796368 in words is "six million, seven hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 433 436 654 866 872 981 1299 1308 1732 1744 1962 2598 2616 3464 3897 3924 5196 5232 6928 7794 7848 10392 15588 15696 20784 31176 47197 62352 94394 141591 188788 283182 377576 424773 566364 755152 849546 1132728 1699092 2265456 3398184 6796368