Base | Representation |
---|---|
bin | 1001110010100… |
… | …11011000000000 |
3 | 12201112122202212 |
4 | 10321103120000 |
5 | 132011133212 |
6 | 12052201252 |
7 | 2015045216 |
oct | 471233000 |
9 | 181478685 |
10 | 82130432 |
11 | 423a689a |
12 | 23609228 |
13 | 14027cb7 |
14 | ac9ccb6 |
15 | 7324e22 |
hex | 4e53600 |
82130432 has 40 divisors (see below), whose sum is σ = 167641056. Its totient is φ = 40179712.
The previous prime is 82130423. The next prime is 82130441. The reversal of 82130432 is 23403128.
It is an interprime number because it is at equal distance from previous prime (82130423) and next prime (82130441).
It is a junction number, because it is equal to n+sod(n) for n = 82130398 and 82130407.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22358 + ... + 25770.
Almost surely, 282130432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83820528).
82130432 is an abundant number, since it is smaller than the sum of its proper divisors (85510624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82130432 is an equidigital number, since it uses as much as digits as its factorization.
82130432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3478 (or 3462 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 23.
The square root of 82130432 is about 9062.5841789194. The cubic root of 82130432 is about 434.6783759041.
The spelling of 82130432 in words is "eighty-two million, one hundred thirty thousand, four hundred thirty-two".
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