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6798096 = 2432172777
BaseRepresentation
bin11001111011101100010000
3110210101020100
4121323230100
53220014341
6401412400
7111532344
oct31735420
913711210
106798096
113923568
12233a100
131540356
14c8d624
158e43b6
hex67bb10

6798096 has 60 divisors (see below), whose sum is σ = 20151612. Its totient is φ = 2131968.

The previous prime is 6798089. The next prime is 6798097. The reversal of 6798096 is 6908976.

6798096 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 3686400 = 1764^2 + 1920^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6798097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060 + ... + 3836.

Almost surely, 26798096 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 6798096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075806).

6798096 is an abundant number, since it is smaller than the sum of its proper divisors (13353516).

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

6798096 is a wasteful number, since it uses less digits than its factorization.

6798096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 6798096 is about 2607.3158611875. The cubic root of 6798096 is about 189.4359634461.

The spelling of 6798096 in words is "six million, seven hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 2777 5554 8331 11108 16662 22216 24993 33324 44432 47209 49986 66648 94418 99972 133296 141627 188836 199944 283254 377672 399888 424881 566508 755344 849762 1133016 1699524 2266032 3399048 6798096