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6768468 = 2233721279
BaseRepresentation
bin11001110100011101010100
3110201212121000
4121310131110
53213042333
6401023300
7111350100
oct31643524
913655530
106768468
113903283
122324b30
13152ca15
14c82900
158da713
hex674754

6768468 has 72 divisors (see below), whose sum is σ = 20428800. Its totient is φ = 1932336.

The previous prime is 6768449. The next prime is 6768469. The reversal of 6768468 is 8648676.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4653 + ... + 5931.

Almost surely, 26768468 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 6768468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214400).

6768468 is an abundant number, since it is smaller than the sum of its proper divisors (13660332).

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

6768468 is a wasteful number, since it uses less digits than its factorization.

6768468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1291 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 6768468 is about 2601.6279518794. The cubic root of 6768468 is about 189.1603577326.

The spelling of 6768468 in words is "six million, seven hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1279 1323 1764 2558 2646 3837 5116 5292 7674 8953 11511 15348 17906 23022 26859 34533 35812 46044 53718 62671 69066 80577 107436 125342 138132 161154 188013 241731 250684 322308 376026 483462 564039 752052 966924 1128078 1692117 2256156 3384234 6768468