Base | Representation |
---|---|
bin | 1001111011000… |
… | …00010100010100 |
3 | 12210121121212102 |
4 | 10331200110110 |
5 | 132301411040 |
6 | 12131541232 |
7 | 2030313644 |
oct | 475402424 |
9 | 183547772 |
10 | 83232020 |
11 | 42a894a3 |
12 | 23a5a818 |
13 | 14322521 |
14 | b0a8524 |
15 | 7491515 |
hex | 4f60514 |
83232020 has 24 divisors (see below), whose sum is σ = 175478184. Its totient is φ = 33161216.
The previous prime is 83232013. The next prime is 83232041. The reversal of 83232020 is 2023238.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 57547396 + 25684624 = 7586^2 + 5068^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 83231983 and 83232001.
It is a congruent number.
It is an unprimeable number.
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, 2957 + ... + 13236.
It is an arithmetic number, because the mean of its divisors is an integer number (7311591).
Almost surely, 283232020 is an apocalyptic number.
It is an amenable number.
83232020 is an abundant number, since it is smaller than the sum of its proper divisors (92246164).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83232020 is a wasteful number, since it uses less digits than its factorization.
83232020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16459 (or 16457 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 83232020 is about 9123.1584443108. The cubic root of 83232020 is about 436.6131498878.
Adding to 83232020 its reverse (2023238), we get a palindrome (85255258).
It can be divided in two parts, 832320 and 20, that multiplied together give a square (16646400 = 40802).
The spelling of 83232020 in words is "eighty-three million, two hundred thirty-two thousand, twenty".
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