Base | Representation |
---|---|
bin | 1001101010111… |
… | …00100000000000 |
3 | 12122122021200000 |
4 | 10311130200000 |
5 | 131231303412 |
6 | 12014400000 |
7 | 2003334135 |
oct | 465344000 |
9 | 178567600 |
10 | 81119232 |
11 | 41876097 |
12 | 23200000 |
13 | 13a6295c |
14 | aab858c |
15 | 71c54dc |
hex | 4d5c800 |
81119232 has 144 divisors (see below), whose sum is σ = 244455120. Its totient is φ = 26873856.
The previous prime is 81119221. The next prime is 81119237. The reversal of 81119232 is 23291118.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 81119196 and 81119205.
It is not an unprimeable number, because it can be changed into a prime (81119237) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497583 + ... + 497745.
It is an arithmetic number, because the mean of its divisors is an integer number (1697605).
Almost surely, 281119232 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 81119232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122227560).
81119232 is an abundant number, since it is smaller than the sum of its proper divisors (163335888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81119232 is an equidigital number, since it uses as much as digits as its factorization.
81119232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200 (or 168 counting only the distinct ones).
The product of its digits is 864, while the sum is 27.
The square root of 81119232 is about 9006.6215641604. The cubic root of 81119232 is about 432.8870661460.
The spelling of 81119232 in words is "eighty-one million, one hundred nineteen thousand, two hundred thirty-two".
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