| Base | Representation |
|---|---|
| bin | 110010111010010… |
| … | …011011010000000 |
| 3 | 2012112020001011200 |
| 4 | 302322103122000 |
| 5 | 3222130112030 |
| 6 | 220431141200 |
| 7 | 30111052416 |
| oct | 6272233200 |
| 9 | 2175201150 |
| 10 | 854144640 |
| 11 | 3a9162568 |
| 12 | 1ba074800 |
| 13 | 107c5c93b |
| 14 | 816212b6 |
| 15 | 4eebed60 |
| hex | 32e93680 |
854144640 has 192 divisors, whose sum is σ = 2966076360. Its totient is φ = 226492416.
The previous prime is 854144573. The next prime is 854144689. The reversal of 854144640 is 46441458.
It is a happy number.
854144640 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 4 + 4 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 814303296 + 39841344 = 28536^2 + 6312^2 .
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 854144595 and 854144604.
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 23 ways as a sum of consecutive naturals, for example, 1480032 + ... + 1480608.
Almost surely, 2854144640 is an apocalyptic number.
854144640 is a gapful number since it is divisible by the number (80) 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 854144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483038180).
854144640 is an abundant number, since it is smaller than the sum of its proper divisors (2111931720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
854144640 is a wasteful number, since it uses less digits than its factorization.
854144640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 859 (or 844 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The square root of 854144640 is about 29225.7530270821. The cubic root of 854144640 is about 948.8053829887.
The spelling of 854144640 in words is "eight hundred fifty-four million, one hundred forty-four thousand, six hundred forty".
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