| Base | Representation |
|---|---|
| bin | 100110011111… |
| … | …1000010000000 |
| 3 | 1101222022021220 |
| 4 | 1030333002000 |
| 5 | 20131243440 |
| 6 | 2000315040 |
| 7 | 333352041 |
| oct | 114770200 |
| 9 | 41868256 |
| 10 | 20181120 |
| 11 | 10434413 |
| 12 | 6912a80 |
| 13 | 42479bb |
| 14 | 29748c8 |
| 15 | 1b898d0 |
| hex | 133f080 |
20181120 has 128 divisors (see below), whose sum is σ = 67271040. Its totient is φ = 5136384.
The previous prime is 20181079. The next prime is 20181121. The reversal of 20181120 is 2118102.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 20181120.
It is not an unprimeable number, because it can be changed into a prime (20181121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43932 + ... + 44388.
It is an arithmetic number, because the mean of its divisors is an integer number (525555).
Almost surely, 220181120 is an apocalyptic number.
20181120 is a gapful number since it is divisible by the number (20) 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 20181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33635520).
20181120 is an abundant number, since it is smaller than the sum of its proper divisors (47089920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20181120 is a wasteful number, since it uses less digits than its factorization.
20181120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 502 (or 490 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
The square root of 20181120 is about 4492.3401474065. The cubic root of 20181120 is about 272.2586927551.
Adding to 20181120 its reverse (2118102), we get a palindrome (22299222).
It can be divided in two parts, 20181 and 120, that added together give a triangular number (20301 = T201).
The spelling of 20181120 in words is "twenty million, one hundred eighty-one thousand, one hundred twenty".
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