Base | Representation |
---|---|
bin | 101101110010… |
… | …100001011100 |
3 | 211120211121010 |
4 | 231302201130 |
5 | 11033102140 |
6 | 1105135220 |
7 | 204012252 |
oct | 55624134 |
9 | 24524533 |
10 | 12003420 |
11 | 6859390 |
12 | 402a510 |
13 | 2643720 |
14 | 18465d2 |
15 | 10c1880 |
hex | b7285c |
12003420 has 96 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 2684160.
The previous prime is 12003391. The next prime is 12003427. The reversal of 12003420 is 2430021.
12003420 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 super-3 number, since 3×120034203 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 12003396 and 12003405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12003427) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7881 + ... + 9279.
It is an arithmetic number, because the mean of its divisors is an integer number (411600).
Almost surely, 212003420 is an apocalyptic number.
12003420 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 12003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).
12003420 is an abundant number, since it is smaller than the sum of its proper divisors (27510180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12003420 is a wasteful number, since it uses less digits than its factorization.
12003420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 12003420 is about 3464.5952144515. The cubic root of 12003420 is about 228.9645960154.
Adding to 12003420 its reverse (2430021), we get a palindrome (14433441).
The spelling of 12003420 in words is "twelve million, three thousand, four hundred twenty".
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