Base | Representation |
---|---|
bin | 1010001100000… |
… | …11101111000000 |
3 | 12221211112121121 |
4 | 11012003233000 |
5 | 133340133430 |
6 | 12252002024 |
7 | 2055343015 |
oct | 506035700 |
9 | 187745547 |
10 | 85474240 |
11 | 44280075 |
12 | 24760314 |
13 | 14928c97 |
14 | b4cd70c |
15 | 7785a7a |
hex | 5183bc0 |
85474240 has 56 divisors (see below), whose sum is σ = 206380080. Its totient is φ = 33712128.
The previous prime is 85474231. The next prime is 85474243. The reversal of 85474240 is 4247458.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 85474196 and 85474205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (85474243) 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 7 ways as a sum of consecutive naturals, for example, 21531 + ... + 25189.
Almost surely, 285474240 is an apocalyptic number.
85474240 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 85474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103190040).
85474240 is an abundant number, since it is smaller than the sum of its proper divisors (120905840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
85474240 is a wasteful number, since it uses less digits than its factorization.
85474240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3749 (or 3739 counting only the distinct ones).
The product of its (nonzero) digits is 35840, while the sum is 34.
The square root of 85474240 is about 9245.2279582496. The cubic root of 85474240 is about 440.4991580339.
The spelling of 85474240 in words is "eighty-five million, four hundred seventy-four thousand, two hundred forty".
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