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6780114 = 232113283
BaseRepresentation
bin11001110111010011010010
3110202110120100
4121313103102
53213430424
6401153230
7111426045
oct31672322
913673510
106780114
113911000
12232b816
131535103
14c86c5c
158dddc9
hex6774d2

6780114 has 48 divisors (see below), whose sum is σ = 16215264. Its totient is φ = 2047320.

The previous prime is 6780097. The next prime is 6780119. The reversal of 6780114 is 4110876.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6780119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23817 + ... + 24099.

It is an arithmetic number, because the mean of its divisors is an integer number (337818).

Almost surely, 26780114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6780114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107632).

6780114 is an abundant number, since it is smaller than the sum of its proper divisors (9435150).

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

6780114 is a wasteful number, since it uses less digits than its factorization.

6780114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 6780114 is about 2603.8652038844. The cubic root of 6780114 is about 189.2687869587.

The spelling of 6780114 in words is "six million, seven hundred eighty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 283 363 566 726 849 1089 1331 1698 2178 2547 2662 3113 3993 5094 6226 7986 9339 11979 18678 23958 28017 34243 56034 68486 102729 205458 308187 376673 616374 753346 1130019 2260038 3390057 6780114