Base | Representation |
---|---|
bin | 100110011000… |
… | …1000010001000 |
3 | 1101212101122100 |
4 | 1030301002020 |
5 | 20122430114 |
6 | 1555153400 |
7 | 333022632 |
oct | 114610210 |
9 | 41771570 |
10 | 20123784 |
11 | 103a532a |
12 | 68a5860 |
13 | 4227885 |
14 | 295ba52 |
15 | 1b77909 |
hex | 1331088 |
20123784 has 96 divisors (see below), whose sum is σ = 59262840. Its totient is φ = 6144000.
The previous prime is 20123783. The next prime is 20123809. The reversal of 20123784 is 48732102.
It can be written as a sum of positive squares in 4 ways, for example, as 19448100 + 675684 = 4410^2 + 822^2 .
It is not an unprimeable number, because it can be changed into a prime (20123783) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49984 + ... + 50384.
Almost surely, 220123784 is an apocalyptic number.
20123784 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 20123784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29631420).
20123784 is an abundant number, since it is smaller than the sum of its proper divisors (39139056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20123784 is a wasteful number, since it uses less digits than its factorization.
20123784 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 471 (or 464 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 20123784 is about 4485.9540791230. The cubic root of 20123784 is about 272.0006127437. Note that the first 3 decimals are identical.
Adding to 20123784 its reverse (48732102), we get a palindrome (68855886).
The spelling of 20123784 in words is "twenty million, one hundred twenty-three thousand, seven hundred eighty-four".
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