Base | Representation |
---|---|
bin | 100110111111… |
… | …0101101000000 |
3 | 1102110120001011 |
4 | 1031332231000 |
5 | 20213120140 |
6 | 2010050304 |
7 | 335516302 |
oct | 115765500 |
9 | 42416034 |
10 | 20441920 |
11 | 105a2354 |
12 | 6a19994 |
13 | 4309615 |
14 | 2a01972 |
15 | 1bdbcea |
hex | 137eb40 |
20441920 has 56 divisors (see below), whose sum is σ = 49158144. Its totient is φ = 8096256.
The previous prime is 20441887. The next prime is 20441921. The reversal of 20441920 is 2914402.
It is a junction number, because it is equal to n+sod(n) for n = 20441891 and 20441900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20441921) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 40389 + ... + 40891.
It is an arithmetic number, because the mean of its divisors is an integer number (877824).
Almost surely, 220441920 is an apocalyptic number.
20441920 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 20441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579072).
20441920 is an abundant number, since it is smaller than the sum of its proper divisors (28716224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20441920 is a wasteful number, since it uses less digits than its factorization.
20441920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 647 (or 637 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 22.
The square root of 20441920 is about 4521.2741566952. The cubic root of 20441920 is about 273.4264736452.
It can be divided in two parts, 204 and 41920, that added together give a palindrome (42124).
The spelling of 20441920 in words is "twenty million, four hundred forty-one thousand, nine hundred twenty".
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