Base | Representation |
---|---|
bin | 111101010110011010000 |
3 | 10210010122022 |
4 | 13222303100 |
5 | 1003312240 |
6 | 111031012 |
7 | 23041664 |
oct | 7526320 |
9 | 3703568 |
10 | 2010320 |
11 | 1153424 |
12 | 80b468 |
13 | 555050 |
14 | 3a48a4 |
15 | 29a9b5 |
hex | 1eacd0 |
2010320 has 40 divisors (see below), whose sum is σ = 5036136. Its totient is φ = 741888.
The previous prime is 2010317. The next prime is 2010329. The reversal of 2010320 is 230102.
It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 1915456 = 308^2 + 1384^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 2010298 and 2010307.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2010329) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74 + ... + 2006.
22010320 is an apocalyptic number.
2010320 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 2010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518068).
2010320 is an abundant number, since it is smaller than the sum of its proper divisors (3025816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010320 is a wasteful number, since it uses less digits than its factorization.
2010320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1959 (or 1953 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
The square root of 2010320 is about 1417.8575386829. The cubic root of 2010320 is about 126.2084397399.
Adding to 2010320 its reverse (230102), we get a palindrome (2240422).
The spelling of 2010320 in words is "two million, ten thousand, three hundred twenty".
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