| Base | Representation |
|---|---|
| bin | 111111001100011… |
| … | …0101101011001000 |
| 3 | 12110202222112120002 |
| 4 | 1332120311223020 |
| 5 | 13320313044040 |
| 6 | 550224222132 |
| 7 | 103355306222 |
| oct | 17630655310 |
| 9 | 5422875502 |
| 10 | 2120440520 |
| 11 | 998a2a390 |
| 12 | 4b216a948 |
| 13 | 27a3c6943 |
| 14 | 16188b412 |
| 15 | c6253a15 |
| hex | 7e635ac8 |
2120440520 has 128 divisors (see below), whose sum is σ = 5330016000. Its totient is φ = 752716800.
The previous prime is 2120440519. The next prime is 2120440523. The reversal of 2120440520 is 250440212.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2120440492 and 2120440501.
It is not an unprimeable number, because it can be changed into a prime (2120440523) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5340962 + ... + 5341358.
It is an arithmetic number, because the mean of its divisors is an integer number (41640750).
Almost surely, 22120440520 is an apocalyptic number.
2120440520 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 2120440520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665008000).
2120440520 is an abundant number, since it is smaller than the sum of its proper divisors (3209575480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120440520 is a wasteful number, since it uses less digits than its factorization.
2120440520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 679 (or 675 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 20.
The square root of 2120440520 is about 46048.2412259144. The cubic root of 2120440520 is about 1284.7206304712.
Adding to 2120440520 its reverse (250440212), we get a palindrome (2370880732).
The spelling of 2120440520 in words is "two billion, one hundred twenty million, four hundred forty thousand, five hundred twenty".
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