Base | Representation |
---|---|
bin | 100111100111… |
… | …001110000000 |
3 | 201112120112002 |
4 | 213213032000 |
5 | 10124244011 |
6 | 1010323132 |
7 | 154156541 |
oct | 47471600 |
9 | 21476462 |
10 | 10384256 |
11 | 5952933 |
12 | 35894a8 |
13 | 21c773c |
14 | 15444c8 |
15 | da1c3b |
hex | 9e7380 |
10384256 has 32 divisors (see below), whose sum is σ = 21362880. Its totient is φ = 5022720.
The previous prime is 10384249. The next prime is 10384259. The reversal of 10384256 is 65248301.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10384259) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 2660 + ... + 5276.
It is an arithmetic number, because the mean of its divisors is an integer number (667590).
Almost surely, 210384256 is an apocalyptic number.
10384256 is a gapful number since it is divisible by the number (16) 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 10384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681440).
10384256 is an abundant number, since it is smaller than the sum of its proper divisors (10978624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10384256 is an equidigital number, since it uses as much as digits as its factorization.
10384256 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2662 (or 2650 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 29.
The square root of 10384256 is about 3222.4611712168. The cubic root of 10384256 is about 218.1683742558.
The spelling of 10384256 in words is "ten million, three hundred eighty-four thousand, two hundred fifty-six".
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