Base | Representation |
---|---|
bin | 101101110010… |
… | …100101000000 |
3 | 211120211220120 |
4 | 231302211000 |
5 | 11033104043 |
6 | 1105140240 |
7 | 204013026 |
oct | 55624500 |
9 | 24524816 |
10 | 12003648 |
11 | 6859578 |
12 | 402a680 |
13 | 2643867 |
14 | 1846716 |
15 | 10c1983 |
hex | b72940 |
12003648 has 56 divisors (see below), whose sum is σ = 32125920. Its totient is φ = 3955200.
The previous prime is 12003647. The next prime is 12003671. The reversal of 12003648 is 84630021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12003647) 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, 19083 + ... + 19701.
Almost surely, 212003648 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062960).
12003648 is an abundant number, since it is smaller than the sum of its proper divisors (20122272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12003648 is a wasteful number, since it uses less digits than its factorization.
12003648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 735 (or 725 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 24.
The square root of 12003648 is about 3464.6281185720. The cubic root of 12003648 is about 228.9660457022.
Adding to 12003648 its reverse (84630021), we get a palindrome (96633669).
The spelling of 12003648 in words is "twelve million, three thousand, six hundred forty-eight".
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