Base | Representation |
---|---|
bin | 111110100101… |
… | …101110000000 |
3 | 1010212120202101 |
4 | 332211232000 |
5 | 13200014144 |
6 | 1343400144 |
7 | 256314025 |
oct | 76455600 |
9 | 33776671 |
10 | 16407424 |
11 | 9297160 |
12 | 55b3054 |
13 | 3526147 |
14 | 227154c |
15 | 16916d4 |
hex | fa5b80 |
16407424 has 64 divisors (see below), whose sum is σ = 36622080. Its totient is φ = 7257600.
The previous prime is 16407403. The next prime is 16407437. The reversal of 16407424 is 42470461.
16407424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 16407392 and 16407401.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60409 + ... + 60679.
It is an arithmetic number, because the mean of its divisors is an integer number (572220).
Almost surely, 216407424 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 16407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311040).
16407424 is an abundant number, since it is smaller than the sum of its proper divisors (20214656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16407424 is a wasteful number, since it uses less digits than its factorization.
16407424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 339 (or 327 counting only the distinct ones).
The product of its (nonzero) digits is 5376, while the sum is 28.
The square root of 16407424 is about 4050.6078556187. The cubic root of 16407424 is about 254.1051500081.
Adding to 16407424 its reverse (42470461), we get a palindrome (58877885).
The spelling of 16407424 in words is "sixteen million, four hundred seven thousand, four hundred twenty-four".
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