Base | Representation |
---|---|
bin | 101110010100… |
… | …111100100100 |
3 | 211212000000100 |
4 | 232110330210 |
5 | 11102110140 |
6 | 1112144100 |
7 | 205140321 |
oct | 56247444 |
9 | 24760010 |
10 | 12144420 |
11 | 6945312 |
12 | 4098030 |
13 | 2692962 |
14 | 1881b48 |
15 | 10ed530 |
hex | b94f24 |
12144420 has 144 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 2965248.
The previous prime is 12144413. The next prime is 12144463. The reversal of 12144420 is 2444121.
12144420 is nontrivially palindromic in base 13.
12144420 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 Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12144393 and 12144402.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181227 + ... + 181293.
It is an arithmetic number, because the mean of its divisors is an integer number (278460).
Almost surely, 212144420 is an apocalyptic number.
12144420 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 12144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).
12144420 is an abundant number, since it is smaller than the sum of its proper divisors (27953820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12144420 is a wasteful number, since it uses less digits than its factorization.
12144420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 154 (or 149 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 12144420 is about 3484.8845031077. The cubic root of 12144420 is about 229.8576308588.
Adding to 12144420 its reverse (2444121), we get a palindrome (14588541).
The spelling of 12144420 in words is "twelve million, one hundred forty-four thousand, four hundred twenty".
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