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6680 = 235167
BaseRepresentation
bin1101000011000
3100011102
41220120
5203210
650532
725322
oct15030
910142
106680
115023
123a48
13306b
142612
151ea5
hex1a18

6680 has 16 divisors (see below), whose sum is σ = 15120. Its totient is φ = 2656.

The previous prime is 6679. The next prime is 6689. The reversal of 6680 is 866.

It can be divided in two parts, 6 and 680, that added together give a palindrome (686).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 123.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

It is an amenable number.

6680 is an abundant number, since it is smaller than the sum of its proper divisors (8440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560).

6680 is a wasteful number, since it uses less digits than its factorization.

6680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6680 is about 81.7312669668. The cubic root of 6680 is about 18.8332593692.

The spelling of 6680 in words is "six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 3340 6680