Base | Representation |
---|---|
bin | 100111110111… |
… | …010101000000 |
3 | 201122221000221 |
4 | 213313111000 |
5 | 10133401430 |
6 | 1011552424 |
7 | 154553113 |
oct | 47672500 |
9 | 21587027 |
10 | 10450240 |
11 | 5998469 |
12 | 35bb714 |
13 | 221b798 |
14 | 156057a |
15 | db657a |
hex | 9f7540 |
10450240 has 84 divisors (see below), whose sum is σ = 26668476. Its totient is φ = 3899392.
The previous prime is 10450229. The next prime is 10450241. The reversal of 10450240 is 4205401.
10450240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 107584 + 10342656 = 328^2 + 3216^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10450241) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92424 + ... + 92536.
Almost surely, 210450240 is an apocalyptic number.
10450240 is a gapful number since it is divisible by the number (10) 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 10450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334238).
10450240 is an abundant number, since it is smaller than the sum of its proper divisors (16218236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10450240 is a wasteful number, since it uses less digits than its factorization.
10450240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 164 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 16.
The square root of 10450240 is about 3232.6830961293. The cubic root of 10450240 is about 218.6294966234.
Adding to 10450240 its reverse (4205401), we get a palindrome (14655641).
The spelling of 10450240 in words is "ten million, four hundred fifty thousand, two hundred forty".
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