Base | Representation |
---|---|
bin | 1000101001001111… |
… | …0001111010111100 |
3 | 12222201022121200000 |
4 | 2022103301322330 |
5 | 14223013103040 |
6 | 1022131034300 |
7 | 111334265112 |
oct | 21223617274 |
9 | 5881277600 |
10 | 2320441020 |
11 | a90912757 |
12 | 54913b990 |
13 | 2ac981231 |
14 | 18026dab2 |
15 | d8aad130 |
hex | 8a4f1ebc |
2320441020 has 144 divisors (see below), whose sum is σ = 7617093120. Its totient is φ = 591852096.
The previous prime is 2320441007. The next prime is 2320441021. The reversal of 2320441020 is 201440232.
2320441020 is a `hidden beast` number, since 232 + 0 + 4 + 410 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2320440984 and 2320441002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2320441021) 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 47 ways as a sum of consecutive naturals, for example, 101401 + ... + 122159.
It is an arithmetic number, because the mean of its divisors is an integer number (52896480).
Almost surely, 22320441020 is an apocalyptic number.
2320441020 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 2320441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808546560).
2320441020 is an abundant number, since it is smaller than the sum of its proper divisors (5296652100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2320441020 is a wasteful number, since it uses less digits than its factorization.
2320441020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20806 (or 20792 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 2320441020 is about 48170.9561873127. The cubic root of 2320441020 is about 1323.9050681441.
Adding to 2320441020 its reverse (201440232), we get a palindrome (2521881252).
The spelling of 2320441020 in words is "two billion, three hundred twenty million, four hundred forty-one thousand, twenty".
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