| Base | Representation |
|---|---|
| bin | 10011110110000… |
| … | …00101000000000 |
| 3 | 102121020020200100 |
| 4 | 21323000220000 |
| 5 | 320103322000 |
| 6 | 24303522400 |
| 7 | 4060630533 |
| oct | 1173005000 |
| 9 | 377206610 |
| 10 | 166464000 |
| 11 | 85a6795a |
| 12 | 478b9400 |
| 13 | 28644a11 |
| 14 | 18172a1a |
| 15 | e932a00 |
| hex | 9ec0a00 |
166464000 has 360 divisors, whose sum is σ = 636915708. Its totient is φ = 41779200.
The previous prime is 166463951. The next prime is 166464007. The reversal of 166464000 is 464661.
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.
166464000 is a `hidden beast` number, since 16 + 6 + 4 + 640 + 0 + 0 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 34857216 + 131606784 = 5904^2 + 11472^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is not an unprimeable number, because it can be changed into a prime (166464007) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9791992 + ... + 9792008.
Almost surely, 2166464000 is an apocalyptic number.
166464000 is a gapful number since it is divisible by the number (10) 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 166464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318457854).
166464000 is an abundant number, since it is smaller than the sum of its proper divisors (470451708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
166464000 is an equidigital number, since it uses as much as digits as its factorization.
166464000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 73 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 166464000 is about 12902.0928534870. The cubic root of 166464000 is about 550.0980541432.
It can be divided in two parts, 166 and 464000, that added together give a triangular number (464166 = T963).
The spelling of 166464000 in words is "one hundred sixty-six million, four hundred sixty-four thousand".
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