Base | Representation |
---|---|
bin | 111101000011101010000 |
3 | 10202122110202 |
4 | 13220131100 |
5 | 1003010340 |
6 | 110514332 |
7 | 23002001 |
oct | 7503520 |
9 | 3678422 |
10 | 2000720 |
11 | 1147197 |
12 | 8059a8 |
13 | 550877 |
14 | 3a11a8 |
15 | 297c15 |
hex | 1e8750 |
2000720 has 40 divisors (see below), whose sum is σ = 4720680. Its totient is φ = 788480.
The previous prime is 2000717. The next prime is 2000731. The reversal of 2000720 is 270002.
It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 1882384 = 344^2 + 1372^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6980 + ... + 7260.
It is an arithmetic number, because the mean of its divisors is an integer number (118017).
22000720 is an apocalyptic number.
2000720 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 2000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360340).
2000720 is an abundant number, since it is smaller than the sum of its proper divisors (2719960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000720 is a wasteful number, since it uses less digits than its factorization.
2000720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 383 (or 377 counting only the distinct ones).
The product of its (nonzero) digits is 28, while the sum is 11.
The square root of 2000720 is about 1414.4680979082. The cubic root of 2000720 is about 126.0072222282.
Adding to 2000720 its reverse (270002), we get a palindrome (2270722).
It can be divided in two parts, 2000 and 720, that multiplied together give a square (1440000 = 12002).
The spelling of 2000720 in words is "two million, seven hundred twenty", and thus it is an aban number.
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