Base | Representation |
---|---|
bin | 100111000100… |
… | …111111000000 |
3 | 201021110011121 |
4 | 213010333000 |
5 | 10110302112 |
6 | 1003322024 |
7 | 153033661 |
oct | 47047700 |
9 | 21243147 |
10 | 10244032 |
11 | 5867547 |
12 | 3520314 |
13 | 2178976 |
14 | 1509368 |
15 | d75407 |
hex | 9c4fc0 |
10244032 has 28 divisors (see below), whose sum is σ = 20640040. Its totient is φ = 5043456.
The previous prime is 10244027. The next prime is 10244033. The reversal of 10244032 is 23044201.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 10243997 and 10244015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10244033) 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, 3094 + ... + 5482.
Almost surely, 210244032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10244032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320020).
10244032 is an abundant number, since it is smaller than the sum of its proper divisors (10396008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10244032 is an equidigital number, since it uses as much as digits as its factorization.
10244032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2468 (or 2458 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 10244032 is about 3200.6299379966. The cubic root of 10244032 is about 217.1819069726.
Adding to 10244032 its reverse (23044201), we get a palindrome (33288233).
It can be divided in two parts, 102440 and 32, that multiplied together give a triangular number (3278080 = T2560).
The spelling of 10244032 in words is "ten million, two hundred forty-four thousand, thirty-two".
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