Base | Representation |
---|---|
bin | 101101110111… |
… | …111001100000 |
3 | 211121221210200 |
4 | 231313321200 |
5 | 11034303230 |
6 | 1105425200 |
7 | 204133410 |
oct | 55677140 |
9 | 24557720 |
10 | 12025440 |
11 | 6873989 |
12 | 403b200 |
13 | 265075b |
14 | 1850640 |
15 | 10c8160 |
hex | b77e60 |
12025440 has 144 divisors (see below), whose sum is σ = 46938528. Its totient is φ = 2746368.
The previous prime is 12025421. The next prime is 12025441. The reversal of 12025440 is 4452021.
12025440 is a `hidden beast` number, since 120 + 2 + 544 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×120254402 = 289222414387200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12025441) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9484 + ... + 10676.
It is an arithmetic number, because the mean of its divisors is an integer number (325962).
Almost surely, 212025440 is an apocalyptic number.
12025440 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 12025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23469264).
12025440 is an abundant number, since it is smaller than the sum of its proper divisors (34913088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12025440 is a wasteful number, since it uses less digits than its factorization.
12025440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 12025440 is about 3467.7716187777. The cubic root of 12025440 is about 229.1045205958.
Adding to 12025440 its reverse (4452021), we get a palindrome (16477461).
The spelling of 12025440 in words is "twelve million, twenty-five thousand, four hundred forty".
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