Base | Representation |
---|---|
bin | 101101110010… |
… | …011011100000 |
3 | 211120211002001 |
4 | 231302123200 |
5 | 11033044130 |
6 | 1105133344 |
7 | 204011200 |
oct | 55623340 |
9 | 24524061 |
10 | 12003040 |
11 | 6859075 |
12 | 402a254 |
13 | 26434ba |
14 | 1846400 |
15 | 10c16ca |
hex | b726e0 |
12003040 has 72 divisors (see below), whose sum is σ = 33008472. Its totient is φ = 4112640.
The previous prime is 12003011. The next prime is 12003073. The reversal of 12003040 is 4030021.
12003040 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 (10).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7075 + ... + 8605.
It is an arithmetic number, because the mean of its divisors is an integer number (458451).
Almost surely, 212003040 is an apocalyptic number.
12003040 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 12003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16504236).
12003040 is an abundant number, since it is smaller than the sum of its proper divisors (21005432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12003040 is a wasteful number, since it uses less digits than its factorization.
12003040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1560 (or 1545 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 12003040 is about 3464.5403735561. The cubic root of 12003040 is about 228.9621798300.
Adding to 12003040 its reverse (4030021), we get a palindrome (16033061).
The spelling of 12003040 in words is "twelve million, three thousand, forty".
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