| Base | Representation |
|---|---|
| bin | 10101100101110… |
| … | …01000000000000 |
| 3 | 110121210111002200 |
| 4 | 22302321000000 |
| 5 | 332331102312 |
| 6 | 25545513200 |
| 7 | 4326301515 |
| oct | 1262710000 |
| 9 | 417714080 |
| 10 | 181112832 |
| 11 | 9326282a |
| 12 | 507a2800 |
| 13 | 2b6a3574 |
| 14 | 1a0a730c |
| 15 | 10d780dc |
| hex | acb9000 |
181112832 has 156 divisors (see below), whose sum is σ = 555841260. Its totient is φ = 56819712.
The previous prime is 181112821. The next prime is 181112839. The reversal of 181112832 is 238211181.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 99680256 + 81432576 = 9984^2 + 9024^2 .
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 = 181112796 and 181112805.
It is not an unprimeable number, because it can be changed into a prime (181112839) 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, 10653688 + ... + 10653704.
It is an arithmetic number, because the mean of its divisors is an integer number (3563085).
Almost surely, 2181112832 is an apocalyptic number.
181112832 is a gapful number since it is divisible by the number (12) 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 181112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277920630).
181112832 is an abundant number, since it is smaller than the sum of its proper divisors (374728428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
181112832 is an frugal number, since it uses more digits than its factorization.
181112832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 81 (or 22 counting only the distinct ones).
The product of its digits is 768, while the sum is 27.
The square root of 181112832 is about 13457.8167620160. The cubic root of 181112832 is about 565.7827998701.
The spelling of 181112832 in words is "one hundred eighty-one million, one hundred twelve thousand, eight hundred thirty-two".
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