Base | Representation |
---|---|
bin | 1010000101101… |
… | …0100111101100 |
3 | 2221121210012100 |
4 | 2201122213230 |
5 | 41313023340 |
6 | 4110535100 |
7 | 1022444034 |
oct | 241324754 |
9 | 87553170 |
10 | 42314220 |
11 | 21981333 |
12 | 12207490 |
13 | 89c7000 |
14 | 58968c4 |
15 | 3aac830 |
hex | 285a9ec |
42314220 has 144 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 10318464.
The previous prime is 42314203. The next prime is 42314257. The reversal of 42314220 is 2241324.
42314220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 42314193 and 42314202.
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 47 ways as a sum of consecutive naturals, for example, 395407 + ... + 395513.
It is an arithmetic number, because the mean of its divisors is an integer number (974610).
Almost surely, 242314220 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).
42314220 is an abundant number, since it is smaller than the sum of its proper divisors (98029620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42314220 is a wasteful number, since it uses less digits than its factorization.
42314220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 161 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 42314220 is about 6504.9381242253. The cubic root of 42314220 is about 348.4673664935.
Adding to 42314220 its reverse (2241324), we get a palindrome (44555544).
The spelling of 42314220 in words is "forty-two million, three hundred fourteen thousand, two hundred twenty".
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