| Base | Representation |
|---|---|
| bin | 101111011101… |
| … | …001001100000 |
| 3 | 212102000200200 |
| 4 | 233131021200 |
| 5 | 11141041120 |
| 6 | 1122345200 |
| 7 | 210511455 |
| oct | 57351140 |
| 9 | 25360620 |
| 10 | 12440160 |
| 11 | 7027527 |
| 12 | 41bb200 |
| 13 | 2767455 |
| 14 | 191b82c |
| 15 | 115ae90 |
| hex | bdd260 |
12440160 has 144 divisors (see below), whose sum is σ = 43518384. Its totient is φ = 3234816.
The previous prime is 12440147. The next prime is 12440161. The reversal of 12440160 is 6104421.
12440160 is digitally balanced in base 2 and base 4, because in such bases 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12440161) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76239 + ... + 76401.
It is an arithmetic number, because the mean of its divisors is an integer number (302211).
Almost surely, 212440160 is an apocalyptic number.
12440160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
12440160 is the 2880-th pentagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759192).
12440160 is an abundant number, since it is smaller than the sum of its proper divisors (31078224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12440160 is a wasteful number, since it uses less digits than its factorization.
12440160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 237 (or 226 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 12440160 is about 3527.0610995558. The cubic root of 12440160 is about 231.7085122439.
Adding to 12440160 its reverse (6104421), we get a palindrome (18544581).
The spelling of 12440160 in words is "twelve million, four hundred forty thousand, one hundred sixty".
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