Base | Representation |
---|---|
bin | 10101100000110… |
… | …11011111000000 |
3 | 110120120201001222 |
4 | 22300123133000 |
5 | 332144431043 |
6 | 25524014212 |
7 | 4320643514 |
oct | 1260333700 |
9 | 416521058 |
10 | 180467648 |
11 | 92962019 |
12 | 50531368 |
13 | 2b5089ba |
14 | 19d7a144 |
15 | 10c9bd68 |
hex | ac1b7c0 |
180467648 has 56 divisors (see below), whose sum is σ = 389516112. Its totient is φ = 82612224.
The previous prime is 180467641. The next prime is 180467653. The reversal of 180467648 is 846764081.
180467648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 180467599 and 180467608.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (180467641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38015 + ... + 42497.
Almost surely, 2180467648 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 180467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194758056).
180467648 is an abundant number, since it is smaller than the sum of its proper divisors (209048464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
180467648 is a wasteful number, since it uses less digits than its factorization.
180467648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4549 (or 4539 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 44.
The square root of 180467648 is about 13433.8247718213. The cubic root of 180467648 is about 565.1101651683.
The spelling of 180467648 in words is "one hundred eighty million, four hundred sixty-seven thousand, six hundred forty-eight".
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