Base | Representation |
---|---|
bin | 100111000100… |
… | …010000000000 |
3 | 201021022001012 |
4 | 213010100000 |
5 | 10110203044 |
6 | 1003300052 |
7 | 153022133 |
oct | 47042000 |
9 | 21238035 |
10 | 10241024 |
11 | 5865262 |
12 | 351a628 |
13 | 21774a1 |
14 | 150821a |
15 | d7459e |
hex | 9c4400 |
10241024 has 44 divisors (see below), whose sum is σ = 20903964. Its totient is φ = 5013504.
The previous prime is 10240961. The next prime is 10241027. The reversal of 10241024 is 42014201.
It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 4326400 = 2432^2 + 2080^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10241027) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74684 + ... + 74820.
Almost surely, 210241024 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 10241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10451982).
10241024 is an abundant number, since it is smaller than the sum of its proper divisors (10662940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10241024 is an equidigital number, since it uses as much as digits as its factorization.
10241024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 230 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 10241024 is about 3200.1599960002. The cubic root of 10241024 is about 217.1606475333.
Adding to 10241024 its reverse (42014201), we get a palindrome (52255225).
It can be divided in two parts, 1024 and 1024, that added together give a 11-th power (2048 = 211).
The spelling of 10241024 in words is "ten million, two hundred forty-one thousand, twenty-four".
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