Base | Representation |
---|---|
bin | 100110010100… |
… | …010000000000 |
3 | 200220022100102 |
4 | 212110100000 |
5 | 10032410131 |
6 | 555141532 |
7 | 151243004 |
oct | 46242000 |
9 | 20808312 |
10 | 10044416 |
11 | 5740578 |
12 | 34448a8 |
13 | 2108b55 |
14 | 1496704 |
15 | d361cb |
hex | 994400 |
10044416 has 44 divisors (see below), whose sum is σ = 21296988. Its totient is φ = 4718592.
The previous prime is 10044383. The next prime is 10044421. The reversal of 10044416 is 61444001.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 9241600 + 802816 = 3040^2 + 896^2 .
It is a nialpdrome in base 16.
It is a zygodrome in base 16.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17120 + ... + 17696.
Almost surely, 210044416 is an apocalyptic number.
10044416 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 10044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10648494).
10044416 is an abundant number, since it is smaller than the sum of its proper divisors (11252572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10044416 is an equidigital number, since it uses as much as digits as its factorization.
10044416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 614 (or 596 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 10044416 is about 3169.2926655644. The cubic root of 10044416 is about 215.7619691548.
Adding to 10044416 its reverse (61444001), we get a palindrome (71488417).
The spelling of 10044416 in words is "ten million, forty-four thousand, four hundred sixteen".
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