Base | Representation |
---|---|
bin | 100110111111… |
… | …0101110101000 |
3 | 1102110120012000 |
4 | 1031332232220 |
5 | 20213121044 |
6 | 2010051000 |
7 | 335516511 |
oct | 115765650 |
9 | 42416160 |
10 | 20442024 |
11 | 105a2439 |
12 | 6a19a60 |
13 | 4309695 |
14 | 2a01a08 |
15 | 1bdbd69 |
hex | 137eba8 |
20442024 has 128 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6054912.
The previous prime is 20442011. The next prime is 20442053. The reversal of 20442024 is 42024402.
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 = 20441988 and 20442006.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69622 + ... + 69914.
It is an arithmetic number, because the mean of its divisors is an integer number (496125).
Almost surely, 220442024 is an apocalyptic number.
20442024 is a gapful number since it is divisible by the number (24) 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 20442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).
20442024 is an abundant number, since it is smaller than the sum of its proper divisors (43061976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20442024 is a wasteful number, since it uses less digits than its factorization.
20442024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344 (or 334 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 20442024 is about 4521.2856578633. The cubic root of 20442024 is about 273.4269373378.
Adding to 20442024 its reverse (42024402), we get a palindrome (62466426).
The spelling of 20442024 in words is "twenty million, four hundred forty-two thousand, twenty-four".
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