| Base | Representation |
|---|---|
| bin | 111111100110… |
| … | …101110000000 |
| 3 | 1011101002222010 |
| 4 | 333212232000 |
| 5 | 13232024124 |
| 6 | 1353212520 |
| 7 | 261503160 |
| oct | 77465600 |
| 9 | 34332863 |
| 10 | 16673664 |
| 11 | 9459197 |
| 12 | 5701140 |
| 13 | 35ba397 |
| 14 | 23005a0 |
| 15 | 16e5529 |
| hex | fe6b80 |
16673664 has 64 divisors (see below), whose sum is σ = 50624640. Its totient is φ = 4763136.
The previous prime is 16673647. The next prime is 16673669. The reversal of 16673664 is 46637661.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×166736643 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (16673669) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414 + ... + 5789.
It is an arithmetic number, because the mean of its divisors is an integer number (791010).
Almost surely, 216673664 is an apocalyptic number.
16673664 is a gapful number since it is divisible by the number (14) 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 16673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25312320).
16673664 is an abundant number, since it is smaller than the sum of its proper divisors (33950976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16673664 is an equidigital number, since it uses as much as digits as its factorization.
16673664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6227 (or 6215 counting only the distinct ones).
The product of its digits is 108864, while the sum is 39.
The square root of 16673664 is about 4083.3398095187. The cubic root of 16673664 is about 255.4722199465.
The spelling of 16673664 in words is "sixteen million, six hundred seventy-three thousand, six hundred sixty-four".
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