Base | Representation |
---|---|
bin | 1001111111100… |
… | …11100010100000 |
3 | 12211202021001111 |
4 | 10333303202200 |
5 | 132430210130 |
6 | 12152513104 |
7 | 2035405012 |
oct | 477634240 |
9 | 184667044 |
10 | 83835040 |
11 | 43360563 |
12 | 240ab794 |
13 | 144a3b43 |
14 | b1c41b2 |
15 | 756002a |
hex | 4ff38a0 |
83835040 has 24 divisors (see below), whose sum is σ = 198060660. Its totient is φ = 33533952.
The previous prime is 83835019. The next prime is 83835043. The reversal of 83835040 is 4053838.
It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 2704 = 9156^2 + 52^2 .
It is a junction number, because it is equal to n+sod(n) for n = 83834993 and 83835011.
It is not an unprimeable number, because it can be changed into a prime (83835043) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261825 + ... + 262144.
Almost surely, 283835040 is an apocalyptic number.
83835040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
83835040 is an abundant number, since it is smaller than the sum of its proper divisors (114225620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83835040 is a wasteful number, since it uses less digits than its factorization.
83835040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 523984 (or 523976 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 31.
The square root of 83835040 is about 9156.1476615441. The cubic root of 83835040 is about 437.6650414058.
Adding to 83835040 its reverse (4053838), we get a palindrome (87888878).
The spelling of 83835040 in words is "eighty-three million, eight hundred thirty-five thousand, forty".
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