Base | Representation |
---|---|
bin | 100010010111… |
… | …1101010100000 |
3 | 1020220120012100 |
4 | 1010233222200 |
5 | 14103133044 |
6 | 1442130400 |
7 | 306114300 |
oct | 104575240 |
9 | 36816170 |
10 | 18021024 |
11 | a19950a |
12 | 6050a00 |
13 | 396c738 |
14 | 2571600 |
15 | 18ae869 |
hex | 112faa0 |
18021024 has 108 divisors (see below), whose sum is σ = 59660874. Its totient is φ = 5144832.
The previous prime is 18020993. The next prime is 18021053. The reversal of 18021024 is 42012081.
It can be written as a sum of positive squares in only one way, i.e., 14288400 + 3732624 = 3780^2 + 1932^2 .
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 = 18020988 and 18021006.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13474 + ... + 14750.
Almost surely, 218021024 is an apocalyptic number.
18021024 is a gapful number since it is divisible by the number (14) 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 18021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29830437).
18021024 is an abundant number, since it is smaller than the sum of its proper divisors (41639850).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18021024 is a wasteful number, since it uses less digits than its factorization.
18021024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1307 (or 1289 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 18021024 is about 4245.1176662137. The cubic root of 18021024 is about 262.1761339196.
Subtracting from 18021024 its sum of digits (18), we obtain a triangular number (18021006 = T6003).
The spelling of 18021024 in words is "eighteen million, twenty-one thousand, twenty-four".
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