Base | Representation |
---|---|
bin | 1111110001111… |
… | …0010011000000 |
3 | 11121112111220111 |
4 | 3330132103000 |
5 | 113420400014 |
6 | 10322321104 |
7 | 1432362250 |
oct | 374362300 |
9 | 147474814 |
10 | 66184384 |
11 | 343a5342 |
12 | 1a1b9194 |
13 | 10933b76 |
14 | 8b0b960 |
15 | 5c252c4 |
hex | 3f1e4c0 |
66184384 has 56 divisors (see below), whose sum is σ = 150965408. Its totient is φ = 28200960.
The previous prime is 66184369. The next prime is 66184397. The reversal of 66184384 is 48348166.
66184384 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 (56).
It is an unprimeable number.
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, 107662 + ... + 108274.
Almost surely, 266184384 is an apocalyptic number.
66184384 is a gapful number since it is divisible by the number (64) 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 66184384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75482704).
66184384 is an abundant number, since it is smaller than the sum of its proper divisors (84781024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66184384 is a wasteful number, since it uses less digits than its factorization.
66184384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 873 (or 863 counting only the distinct ones).
The product of its digits is 110592, while the sum is 40.
The square root of 66184384 is about 8135.3785406704. The cubic root of 66184384 is about 404.4999854847.
The spelling of 66184384 in words is "sixty-six million, one hundred eighty-four thousand, three hundred eighty-four".
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