Base | Representation |
---|---|
bin | 11001110111010111100000 |
3 | 110202110221100 |
4 | 121313113200 |
5 | 3213433014 |
6 | 401154400 |
7 | 111426612 |
oct | 31672740 |
9 | 13673840 |
10 | 6780384 |
11 | 3911226 |
12 | 232ba00 |
13 | 1535280 |
14 | c86db2 |
15 | 8de009 |
hex | 6775e0 |
6780384 has 72 divisors (see below), whose sum is σ = 20776392. Its totient is φ = 2085120.
The previous prime is 6780383. The next prime is 6780407. The reversal of 6780384 is 4830876.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6780383) 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 11 ways as a sum of consecutive naturals, for example, 2839 + ... + 4649.
It is an arithmetic number, because the mean of its divisors is an integer number (288561).
Almost surely, 26780384 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 6780384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388196).
6780384 is an abundant number, since it is smaller than the sum of its proper divisors (13996008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6780384 is a wasteful number, since it uses less digits than its factorization.
6780384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1840 (or 1829 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 6780384 is about 2603.9170493700. The cubic root of 6780384 is about 189.2712993006.
The spelling of 6780384 in words is "six million, seven hundred eighty thousand, three hundred eighty-four".
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