Base | Representation |
---|---|
bin | 101101111100… |
… | …110010000000 |
3 | 211122222020102 |
4 | 231330302000 |
5 | 11040423230 |
6 | 1110101532 |
7 | 204245621 |
oct | 55746200 |
9 | 24588212 |
10 | 12045440 |
11 | 6887a10 |
12 | 404a8a8 |
13 | 26598a4 |
14 | 1857a48 |
15 | 10ce045 |
hex | b7cc80 |
12045440 has 128 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 4157440.
The previous prime is 12045437. The next prime is 12045443. The reversal of 12045440 is 4454021.
It is an interprime number because it is at equal distance from previous prime (12045437) and next prime (12045443).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (12045443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204131 + ... + 204189.
Almost surely, 212045440 is an apocalyptic number.
12045440 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 12045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).
12045440 is an abundant number, since it is smaller than the sum of its proper divisors (21002560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12045440 is a wasteful number, since it uses less digits than its factorization.
12045440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 118 (or 106 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 20.
The square root of 12045440 is about 3470.6541170217. The cubic root of 12045440 is about 229.2314612742.
Adding to 12045440 its reverse (4454021), we get a palindrome (16499461).
The spelling of 12045440 in words is "twelve million, forty-five thousand, four hundred forty".
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