| Base | Representation |
|---|---|
| bin | 110100111100… |
| … | …111100100000 |
| 3 | 222010020022120 |
| 4 | 310330330200 |
| 5 | 12023143440 |
| 6 | 1213304240 |
| 7 | 225662511 |
| oct | 64747440 |
| 9 | 28106276 |
| 10 | 13881120 |
| 11 | 7921100 |
| 12 | 4795080 |
| 13 | 2b502a6 |
| 14 | 1bb4a08 |
| 15 | 1342dd0 |
| hex | d3cf20 |
13881120 has 144 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 3351040.
The previous prime is 13881097. The next prime is 13881143. The reversal of 13881120 is 2118831.
13881120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (13881097) and next prime (13881143).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57961 + ... + 58199.
It is an arithmetic number, because the mean of its divisors is an integer number (335160).
Almost surely, 213881120 is an apocalyptic number.
13881120 is a gapful number since it is divisible by the number (10) 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 13881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).
13881120 is an abundant number, since it is smaller than the sum of its proper divisors (34381920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13881120 is a wasteful number, since it uses less digits than its factorization.
13881120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 279 (or 260 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 24.
The square root of 13881120 is about 3725.7375108829. The cubic root of 13881120 is about 240.3301013187.
Adding to 13881120 its reverse (2118831), we get a palindrome (15999951).
It can be divided in two parts, 138811 and 20, that added together give a palindrome (138831).
The spelling of 13881120 in words is "thirteen million, eight hundred eighty-one thousand, one hundred twenty".
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