Base | Representation |
---|---|
bin | 101111000010… |
… | …010000010000 |
3 | 212012102120200 |
4 | 233002100100 |
5 | 11124030000 |
6 | 1120135200 |
7 | 206542344 |
oct | 57022020 |
9 | 25172520 |
10 | 12330000 |
11 | 6a61791 |
12 | 4167500 |
13 | 2729277 |
14 | 18cd624 |
15 | 1138500 |
hex | bc2410 |
12330000 has 150 divisors (see below), whose sum is σ = 43434534. Its totient is φ = 3264000.
The previous prime is 12329963. The next prime is 12330011. The reversal of 12330000 is 3321.
It is a happy number.
It can be written as a sum of positive squares in 5 ways, for example, as 4309776 + 8020224 = 2076^2 + 2832^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89932 + ... + 90068.
Almost surely, 212330000 is an apocalyptic number.
12330000 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 12330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21717267).
12330000 is an abundant number, since it is smaller than the sum of its proper divisors (31104534).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12330000 is a wasteful number, since it uses less digits than its factorization.
12330000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 171 (or 147 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 12330000 is about 3511.4099732159. The cubic root of 12330000 is about 231.0225423551.
Adding to 12330000 its reverse (3321), we get a palindrome (12333321).
The spelling of 12330000 in words is "twelve million, three hundred thirty thousand".
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