| Base | Representation |
|---|---|
| bin | 100000001000… |
| … | …0000001000000 |
| 3 | 1011200201000000 |
| 4 | 1000100001000 |
| 5 | 13302432231 |
| 6 | 1401000000 |
| 7 | 263106264 |
| oct | 100200100 |
| 9 | 34621000 |
| 10 | 16842816 |
| 11 | 9564291 |
| 12 | 5783000 |
| 13 | 3649383 |
| 14 | 23460a4 |
| 15 | 172a6e6 |
| hex | 1010040 |
16842816 has 147 divisors (see below), whose sum is σ = 52886991. Its totient is φ = 5318784.
The previous prime is 16842809. The next prime is 16842821. The reversal of 16842816 is 61824861.
The square root of 16842816 is 4104.
It is a perfect power (a square), and thus also a powerful number.
It is a super-3 number, since 3×168428163 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (18432) is a multiple of the sum of its prime divisors (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 886455 + ... + 886473.
Almost surely, 216842816 is an apocalyptic number.
16842816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
16842816 is the 4104-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 16842816
16842816 is an abundant number, since it is smaller than the sum of its proper divisors (36044175).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16842816 is an frugal number, since it uses more digits than its factorization.
16842816 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 24 counting only the distinct ones).
The product of its digits is 18432, while the sum is 36.
The cubic root of 16842816 is about 256.3332249205. Note that the first 3 decimals are identical.
Multiplying 16842816 by its sum of digits (36), we get a square (606341376 = 246242).
16842816 divided by its sum of digits (36) gives a square (467856 = 6842).
The spelling of 16842816 in words is "sixteen million, eight hundred forty-two thousand, eight hundred sixteen".
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