| Base | Representation |
|---|---|
| bin | 1010000001101… |
| … | …01100000000000 |
| 3 | 12212020222200000 |
| 4 | 11000311200000 |
| 5 | 133012331331 |
| 6 | 12202400000 |
| 7 | 2040611466 |
| oct | 500654000 |
| 9 | 185228600 |
| 10 | 84105216 |
| 11 | 43525548 |
| 12 | 24200000 |
| 13 | 14569b00 |
| 14 | b254836 |
| 15 | 75b50e6 |
| hex | 5035800 |
84105216 has 216 divisors, whose sum is σ = 272776140. Its totient is φ = 25878528.
The previous prime is 84105211. The next prime is 84105221. The reversal of 84105216 is 61250148.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (84105211) and next prime (84105221).
It is a tau number, because it is divible by the number of its divisors (216).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 84105216.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (84105211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6469626 + ... + 6469638.
Almost surely, 284105216 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 84105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136388070).
84105216 is an abundant number, since it is smaller than the sum of its proper divisors (188670924).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84105216 is an equidigital number, since it uses as much as digits as its factorization.
84105216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 27.
The square root of 84105216 is about 9170.8895969802. The cubic root of 84105216 is about 438.1346930469.
The spelling of 84105216 in words is "eighty-four million, one hundred five thousand, two hundred sixteen".
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