Base | Representation |
---|---|
bin | 100110010011… |
… | …011110000000 |
3 | 200220010221220 |
4 | 212103132000 |
5 | 10032304331 |
6 | 555115040 |
7 | 151230453 |
oct | 46233600 |
9 | 20803856 |
10 | 10041216 |
11 | 5739129 |
12 | 3442a80 |
13 | 2107563 |
14 | 149549a |
15 | d35296 |
hex | 993780 |
10041216 has 64 divisors (see below), whose sum is σ = 27091200. Its totient is φ = 3294720.
The previous prime is 10041197. The next prime is 10041217. The reversal of 10041216 is 61214001.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 10041195 and 10041204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10041217) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30171 + ... + 30501.
It is an arithmetic number, because the mean of its divisors is an integer number (423300).
Almost surely, 210041216 is an apocalyptic number.
10041216 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 10041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545600).
10041216 is an abundant number, since it is smaller than the sum of its proper divisors (17049984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10041216 is an equidigital number, since it uses as much as digits as its factorization.
10041216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 427 (or 415 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 10041216 is about 3168.7877808399. The cubic root of 10041216 is about 215.7390538808.
Adding to 10041216 its reverse (61214001), we get a palindrome (71255217).
The spelling of 10041216 in words is "ten million, forty-one thousand, two hundred sixteen".
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