Base | Representation |
---|---|
bin | 101101110011… |
… | …100111000000 |
3 | 211121001201000 |
4 | 231303213000 |
5 | 11033222442 |
6 | 1105212000 |
7 | 204031242 |
oct | 55634700 |
9 | 24531630 |
10 | 12007872 |
11 | 6861768 |
12 | 4031000 |
13 | 2645766 |
14 | 1848092 |
15 | 10c2d4c |
hex | b739c0 |
12007872 has 56 divisors (see below), whose sum is σ = 35306000. Its totient is φ = 4002048.
The previous prime is 12007871. The next prime is 12007883. The reversal of 12007872 is 27870021.
12007872 is digitally balanced in base 2, because in such base 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 (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12007871) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1747 + ... + 5202.
Almost surely, 212007872 is an apocalyptic number.
12007872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12007872 is an abundant number, since it is smaller than the sum of its proper divisors (23298128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12007872 is an equidigital number, since it uses as much as digits as its factorization.
12007872 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6970 (or 6954 counting only the distinct ones).
The product of its (nonzero) digits is 1568, while the sum is 27.
The square root of 12007872 is about 3465.2376541877. The cubic root of 12007872 is about 228.9928997373.
Adding to 12007872 its reverse (27870021), we get a palindrome (39877893).
The spelling of 12007872 in words is "twelve million, seven thousand, eight hundred seventy-two".
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