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6682768 = 241779311
BaseRepresentation
bin11001011111100010010000
3110120112000221
4121133202100
53202322033
6355122424
7110542201
oct31374220
913515027
106682768
113854954
1222a3414
1314cca01
14c5d5a8
158c012d
hex65f890

6682768 has 40 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 3095040.

The previous prime is 6682747. The next prime is 6682769. The reversal of 6682768 is 8672866.

It is not an unprimeable number, because it can be changed into a prime (6682769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21333 + ... + 21643.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 26682768 is an apocalyptic number.

6682768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6682768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

6682768 is an abundant number, since it is smaller than the sum of its proper divisors (7244912).

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

6682768 is a wasteful number, since it uses less digits than its factorization.

6682768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 6682768 is about 2585.1050268800. The cubic root of 6682768 is about 188.3586033042.

The spelling of 6682768 in words is "six million, six hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 79 136 158 272 311 316 622 632 1244 1264 1343 2488 2686 4976 5287 5372 10574 10744 21148 21488 24569 42296 49138 84592 98276 196552 393104 417673 835346 1670692 3341384 6682768