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6800 = 245217
BaseRepresentation
bin1101010010000
3100022212
41222100
5204200
651252
725553
oct15220
910285
106800
115122
123b28
133131
14269a
152035
hex1a90

6800 has 30 divisors (see below), whose sum is σ = 17298. Its totient is φ = 2560.

The previous prime is 6793. The next prime is 6803. The reversal of 6800 is 86.

Subtracting from 6800 its sum of digits (14), we obtain a triangular number (6786 = T116).

Adding to 6800 its reverse (86), we get a palindrome (6886).

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 5776 = 32^2 + 76^2 .

6800 is an undulating number in base 13.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (6803) by changing a digit.

6800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 392 + ... + 408.

26800 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 6800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649).

6800 is an abundant number, since it is smaller than the sum of its proper divisors (10498).

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

6800 is a wasteful number, since it uses less digits than its factorization.

6800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 6800 is about 82.4621125124. The cubic root of 6800 is about 18.9453647437.

The spelling of 6800 in words is "six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800