Search a number
-
+
6763328 = 261113739
BaseRepresentation
bin11001110011001101000000
3110201121112122
4121303031000
53212411303
6400543412
7111326105
oct31631500
913647478
106763328
1138aa430
122321b68
13152a590
14c80aac
158d8e38
hex673340

6763328 has 56 divisors (see below), whose sum is σ = 15788640. Its totient is φ = 2833920.

The previous prime is 6763321. The next prime is 6763343. The reversal of 6763328 is 8233676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6763321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8783 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (281940).

Almost surely, 26763328 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 6763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7894320).

6763328 is an abundant number, since it is smaller than the sum of its proper divisors (9025312).

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

6763328 is a wasteful number, since it uses less digits than its factorization.

6763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 765 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 6763328 is about 2600.6399212502. The cubic root of 6763328 is about 189.1124625781.

It can be divided in two parts, 676 and 3328, that added together give a palindrome (4004).

The spelling of 6763328 in words is "six million, seven hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 739 832 1144 1478 2288 2956 4576 5912 8129 9152 9607 11824 16258 19214 23648 32516 38428 47296 65032 76856 105677 130064 153712 211354 260128 307424 422708 520256 614848 845416 1690832 3381664 6763328