Base | Representation |
---|---|
bin | 101101110001… |
… | …110010100100 |
3 | 211120200111000 |
4 | 231301302210 |
5 | 11033003140 |
6 | 1105113300 |
7 | 204000435 |
oct | 55616244 |
9 | 24520430 |
10 | 12000420 |
11 | 6857103 |
12 | 4028830 |
13 | 2642253 |
14 | 184548c |
15 | 10c0a30 |
hex | b71ca4 |
12000420 has 96 divisors (see below), whose sum is σ = 37981440. Its totient is φ = 3144960.
The previous prime is 12000409. The next prime is 12000421. The reversal of 12000420 is 2400021.
12000420 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 (9).
It is not an unprimeable number, because it can be changed into a prime (12000421) 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, 38184 + ... + 38496.
It is an arithmetic number, because the mean of its divisors is an integer number (395640).
Almost surely, 212000420 is an apocalyptic number.
12000420 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 12000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990720).
12000420 is an abundant number, since it is smaller than the sum of its proper divisors (25981020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12000420 is a wasteful number, since it uses less digits than its factorization.
12000420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 402 (or 394 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 12000420 is about 3464.1622363856. The cubic root of 12000420 is about 228.9455194794.
Adding to 12000420 its reverse (2400021), we get a palindrome (14400441).
The spelling of 12000420 in words is "twelve million, four hundred twenty", and thus it is an aban number.
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