| Base | Representation |
|---|---|
| bin | 1010001110000… |
| … | …00110111100000 |
| 3 | 12222022021002200 |
| 4 | 11013000313200 |
| 5 | 133421142030 |
| 6 | 12301213200 |
| 7 | 2060435031 |
| oct | 507006740 |
| 9 | 188267080 |
| 10 | 85724640 |
| 11 | 44431211 |
| 12 | 24861200 |
| 13 | 149b5c51 |
| 14 | b556a88 |
| 15 | 77d4d60 |
| hex | 51c0de0 |
85724640 has 144 divisors (see below), whose sum is σ = 297788400. Its totient is φ = 22450176.
The previous prime is 85724629. The next prime is 85724647. The reversal of 85724640 is 4642758.
85724640 is a `hidden beast` number, since 8 + 5 + 7 + 2 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 85724595 and 85724604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (85724647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84456 + ... + 85464.
It is an arithmetic number, because the mean of its divisors is an integer number (2067975).
Almost surely, 285724640 is an apocalyptic number.
85724640 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 85724640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148894200).
85724640 is an abundant number, since it is smaller than the sum of its proper divisors (212063760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85724640 is a wasteful number, since it uses less digits than its factorization.
85724640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1089 (or 1078 counting only the distinct ones).
The product of its (nonzero) digits is 53760, while the sum is 36.
The square root of 85724640 is about 9258.7601761791. The cubic root of 85724640 is about 440.9288916154.
The spelling of 85724640 in words is "eighty-five million, seven hundred twenty-four thousand, six hundred forty".
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