Base | Representation |
---|---|
bin | 101110101100… |
… | …101000100000 |
3 | 212000221002200 |
4 | 232230220200 |
5 | 11113211230 |
6 | 1114213200 |
7 | 206023221 |
oct | 56545040 |
9 | 25027080 |
10 | 12241440 |
11 | 6a011a2 |
12 | 4124200 |
13 | 26c7b73 |
14 | 18a9248 |
15 | 111c160 |
hex | baca20 |
12241440 has 72 divisors (see below), whose sum is σ = 41778828. Its totient is φ = 3264000.
The previous prime is 12241399. The next prime is 12241457. The reversal of 12241440 is 4414221.
12241440 is a `hidden beast` number, since 1 + 224 + 1 + 440 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 11048976 + 1192464 = 3324^2 + 1092^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 2811 + ... + 5690.
Almost surely, 212241440 is an apocalyptic number.
12241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12241440 is an abundant number, since it is smaller than the sum of its proper divisors (29537388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12241440 is a wasteful number, since it uses less digits than its factorization.
12241440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8522 (or 8511 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 12241440 is about 3498.7769291568. The cubic root of 12241440 is about 230.4681077584.
Adding to 12241440 its reverse (4414221), we get a palindrome (16655661).
The spelling of 12241440 in words is "twelve million, two hundred forty-one thousand, four hundred forty".
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