Base | Representation |
---|---|
bin | 1010000001000… |
… | …00110111110000 |
3 | 12212002200202112 |
4 | 11000200313300 |
5 | 133002130340 |
6 | 12200504452 |
7 | 2040110240 |
oct | 500406760 |
9 | 185080675 |
10 | 84020720 |
11 | 43478013 |
12 | 2417b128 |
13 | 1453a504 |
14 | b231b20 |
15 | 759a065 |
hex | 5020df0 |
84020720 has 80 divisors (see below), whose sum is σ = 227128320. Its totient is φ = 28307712.
The previous prime is 84020711. The next prime is 84020723. The reversal of 84020720 is 2702048.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (84020723) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31769 + ... + 34311.
It is an arithmetic number, because the mean of its divisors is an integer number (2839104).
Almost surely, 284020720 is an apocalyptic number.
84020720 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 84020720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113564160).
84020720 is an abundant number, since it is smaller than the sum of its proper divisors (143107600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84020720 is a wasteful number, since it uses less digits than its factorization.
84020720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2622 (or 2616 counting only the distinct ones).
The product of its (nonzero) digits is 896, while the sum is 23.
The square root of 84020720 is about 9166.2816888856. The cubic root of 84020720 is about 437.9879204080.
Adding to 84020720 its reverse (2702048), we get a palindrome (86722768).
The spelling of 84020720 in words is "eighty-four million, twenty thousand, seven hundred twenty".
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