Base | Representation |
---|---|
bin | 100000000100… |
… | …0000000000000 |
3 | 1011122000222000 |
4 | 1000020000000 |
5 | 13300404414 |
6 | 1400144000 |
7 | 262611462 |
oct | 100100000 |
9 | 34560860 |
10 | 16809984 |
11 | 9541654 |
12 | 5768000 |
13 | 3637449 |
14 | 2338132 |
15 | 1720b09 |
hex | 1008000 |
16809984 has 128 divisors (see below), whose sum is σ = 52428000. Its totient is φ = 5308416.
The previous prime is 16809979. The next prime is 16809997. The reversal of 16809984 is 48990861.
It is a tau number, because it is divible by the number of its divisors (128).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 16809984 = 323 + 2563 = 1443 + 2403.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884727 + ... + 884745.
Almost surely, 216809984 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 16809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214000).
16809984 is an abundant number, since it is smaller than the sum of its proper divisors (35618016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16809984 is an frugal number, since it uses more digits than its factorization.
16809984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 45.
The square root of 16809984 is about 4099.9980487800. The cubic root of 16809984 is about 256.1665582773.
It can be divided in two parts, 1680 and 9984, that added together give a square (11664 = 1082).
The spelling of 16809984 in words is "sixteen million, eight hundred nine thousand, nine hundred eighty-four".
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