Base | Representation |
---|---|
bin | 100110001110… |
… | …010010111000 |
3 | 200212001220000 |
4 | 212032102320 |
5 | 10031120044 |
6 | 554433000 |
7 | 151111620 |
oct | 46162270 |
9 | 20761800 |
10 | 10020024 |
11 | 5724213 |
12 | 3432760 |
13 | 20caa11 |
14 | 148b880 |
15 | d2dd69 |
hex | 98e4b8 |
10020024 has 120 divisors (see below), whose sum is σ = 32771640. Its totient is φ = 2801952.
The previous prime is 10020013. The next prime is 10020041. The reversal of 10020024 is 42002001.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a nialpdrome in base 6.
It is a zygodrome in base 6.
It is a junction number, because it is equal to n+sod(n) for n = 10019988 and 10020015.
It is a congruent number.
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 29 ways as a sum of consecutive naturals, for example, 213169 + ... + 213215.
It is an arithmetic number, because the mean of its divisors is an integer number (273097).
Almost surely, 210020024 is an apocalyptic number.
10020024 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 10020024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385820).
10020024 is an abundant number, since it is smaller than the sum of its proper divisors (22751616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020024 is an equidigital number, since it uses as much as digits as its factorization.
10020024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 10020024 is about 3165.4421492108. The cubic root of 10020024 is about 215.5871744613.
Adding to 10020024 its reverse (42002001), we get a palindrome (52022025).
The spelling of 10020024 in words is "ten million, twenty thousand, twenty-four".
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