Base | Representation |
---|---|
bin | 11001110110110011100000 |
3 | 110202100210000 |
4 | 121312303200 |
5 | 3213344310 |
6 | 401140000 |
7 | 111420111 |
oct | 31666340 |
9 | 13670700 |
10 | 6778080 |
11 | 390a521 |
12 | 232a600 |
13 | 15341ca |
14 | c86208 |
15 | 8dd4c0 |
hex | 676ce0 |
6778080 has 120 divisors (see below), whose sum is σ = 23966712. Its totient is φ = 1804032.
The previous prime is 6778073. The next prime is 6778099. The reversal of 6778080 is 808776.
It is a happy number.
6778080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an Ulam number.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12699 + ... + 13221.
Almost surely, 26778080 is an apocalyptic number.
6778080 is a gapful number since it is divisible by the number (60) 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 6778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11983356).
6778080 is an abundant number, since it is smaller than the sum of its proper divisors (17188632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6778080 is a wasteful number, since it uses less digits than its factorization.
6778080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 550 (or 533 counting only the distinct ones).
The product of its (nonzero) digits is 18816, while the sum is 36.
The square root of 6778080 is about 2603.4746013741. The cubic root of 6778080 is about 189.2498585053.
The spelling of 6778080 in words is "six million, seven hundred seventy-eight thousand, eighty".
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