Base | Representation |
---|---|
bin | 100111000100… |
… | …111110110000 |
3 | 201021110011000 |
4 | 213010332300 |
5 | 10110302031 |
6 | 1003322000 |
7 | 153033636 |
oct | 47047660 |
9 | 21243130 |
10 | 10244016 |
11 | 5867532 |
12 | 3520300 |
13 | 2178963 |
14 | 1509356 |
15 | d753e6 |
hex | 9c4fb0 |
10244016 has 80 divisors (see below), whose sum is σ = 30712320. Its totient is φ = 3263040.
The previous prime is 10244011. The next prime is 10244023. The reversal of 10244016 is 61044201.
10244016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 10244016.
It is not an unprimeable number, because it can be changed into a prime (10244011) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9421 + ... + 10451.
It is an arithmetic number, because the mean of its divisors is an integer number (383904).
Almost surely, 210244016 is an apocalyptic number.
10244016 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 10244016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15356160).
10244016 is an abundant number, since it is smaller than the sum of its proper divisors (20468304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10244016 is a wasteful number, since it uses less digits than its factorization.
10244016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1071 (or 1059 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 10244016 is about 3200.6274384876. The cubic root of 10244016 is about 217.1817939015.
Adding to 10244016 its reverse (61044201), we get a palindrome (71288217).
The spelling of 10244016 in words is "ten million, two hundred forty-four thousand, sixteen".
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