Base | Representation |
---|---|
bin | 111111011011001110000 |
3 | 10220120220211 |
4 | 13323121300 |
5 | 1013001240 |
6 | 112313504 |
7 | 23444146 |
oct | 7733160 |
9 | 3816824 |
10 | 2078320 |
11 | 119a522 |
12 | 842894 |
13 | 579c9a |
14 | 3c1596 |
15 | 2b0bea |
hex | 1fb670 |
2078320 has 40 divisors (see below), whose sum is σ = 4905936. Its totient is φ = 818688.
The previous prime is 2078317. The next prime is 2078339. The reversal of 2078320 is 238702.
2078320 = T181 + T182 + ... + T263.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (40).
It is a junction number, because it is equal to n+sod(n) for n = 2078291 and 2078300.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 6484 + ... + 6796.
22078320 is an apocalyptic number.
2078320 is a gapful number since it is divisible by the number (20) 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 2078320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452968).
2078320 is an abundant number, since it is smaller than the sum of its proper divisors (2827616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2078320 is a wasteful number, since it uses less digits than its factorization.
2078320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 409 (or 403 counting only the distinct ones).
The product of its (nonzero) digits is 672, while the sum is 22.
The square root of 2078320 is about 1441.6379573249. The cubic root of 2078320 is about 127.6157093895.
The spelling of 2078320 in words is "two million, seventy-eight thousand, three hundred twenty".
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