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6768 = 243247
BaseRepresentation
bin1101001110000
3100021200
41221300
5204033
651200
725506
oct15160
910250
106768
1150a3
123b00
133108
142676
152013
hex1a70

6768 has 30 divisors (see below), whose sum is σ = 19344. Its totient is φ = 2208.

The previous prime is 6763. The next prime is 6779. The reversal of 6768 is 8676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 121 + ... + 167.

26768 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 6768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9672).

6768 is an abundant number, since it is smaller than the sum of its proper divisors (12576).

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

6768 is a wasteful number, since it uses less digits than its factorization.

6768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 6768 is about 82.2678552048. The cubic root of 6768 is about 18.9155997854.

The spelling of 6768 in words is "six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768