| Base | Representation |
|---|---|
| bin | 10101011110001… |
| … | …00000110100000 |
| 3 | 110112220112002200 |
| 4 | 22233010012200 |
| 5 | 332102002403 |
| 6 | 25512213200 |
| 7 | 4314623151 |
| oct | 1257040640 |
| 9 | 415815080 |
| 10 | 180109728 |
| 11 | 92738117 |
| 12 | 5039a200 |
| 13 | 2b411b06 |
| 14 | 19cc5928 |
| 15 | 10c2aca3 |
| hex | abc41a0 |
180109728 has 72 divisors (see below), whose sum is σ = 513729216. Its totient is φ = 59856000.
The previous prime is 180109717. The next prime is 180109733. The reversal of 180109728 is 827901081.
180109728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 180109692 and 180109701.
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 11 ways as a sum of consecutive naturals, for example, 123403 + ... + 124853.
It is an arithmetic number, because the mean of its divisors is an integer number (7135128).
Almost surely, 2180109728 is an apocalyptic number.
180109728 is a gapful number since it is divisible by the number (18) 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 180109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256864608).
180109728 is an abundant number, since it is smaller than the sum of its proper divisors (333619488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
180109728 is a wasteful number, since it uses less digits than its factorization.
180109728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1898 (or 1887 counting only the distinct ones).
The product of its (nonzero) digits is 8064, while the sum is 36.
The square root of 180109728 is about 13420.4965630933. The cubic root of 180109728 is about 564.7363251358.
The spelling of 180109728 in words is "one hundred eighty million, one hundred nine thousand, seven hundred twenty-eight".
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