Base | Representation |
---|---|
bin | 100110111111… |
… | …0111111110000 |
3 | 1102110121200121 |
4 | 1031332333300 |
5 | 20213134440 |
6 | 2010100024 |
7 | 335522635 |
oct | 115767760 |
9 | 42417617 |
10 | 20443120 |
11 | 105a3245 |
12 | 6a1a614 |
13 | 430a029 |
14 | 2a0218c |
15 | 1bdc34a |
hex | 137eff0 |
20443120 has 40 divisors (see below), whose sum is σ = 48550464. Its totient is φ = 8001792.
The previous prime is 20443109. The next prime is 20443123. The reversal of 20443120 is 2134402.
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 (16).
It is a junction number, because it is equal to n+sod(n) for n = 20443094 and 20443103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20443123) 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 7 ways as a sum of consecutive naturals, for example, 1042 + ... + 6478.
Almost surely, 220443120 is an apocalyptic number.
20443120 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 20443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275232).
20443120 is an abundant number, since it is smaller than the sum of its proper divisors (28107344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20443120 is a wasteful number, since it uses less digits than its factorization.
20443120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5497 (or 5491 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 20443120 is about 4521.4068607017. The cubic root of 20443120 is about 273.4318238495.
Adding to 20443120 its reverse (2134402), we get a palindrome (22577522).
The spelling of 20443120 in words is "twenty million, four hundred forty-three thousand, one hundred twenty".
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