Base | Representation |
---|---|
bin | 1000000110101010010000 |
3 | 10222221011200 |
4 | 20012222100 |
5 | 1020440212 |
6 | 113311200 |
7 | 24025452 |
oct | 10065220 |
9 | 3887150 |
10 | 2124432 |
11 | 1221132 |
12 | 865500 |
13 | 594c7b |
14 | 3d42d2 |
15 | 2be6dc |
hex | 206a90 |
2124432 has 30 divisors (see below), whose sum is σ = 5945862. Its totient is φ = 708096.
The previous prime is 2124431. The next prime is 2124443. The reversal of 2124432 is 2344212.
It can be written as a sum of positive squares in only one way, i.e., 1806336 + 318096 = 1344^2 + 564^2 .
It is a super-2 number, since 2×21244322 = 9026422645248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a d-powerful number, because it can be written as 29 + 1 + 213 + 4 + 47 + 37 + 221 .
It is a nialpdrome in base 12.
It is not an unprimeable number, because it can be changed into a prime (2124431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7233 + ... + 7520.
22124432 is an apocalyptic number.
It is an amenable number.
2124432 is an abundant number, since it is smaller than the sum of its proper divisors (3821430).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2124432 is a wasteful number, since it uses less digits than its factorization.
2124432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14767 (or 14758 counting only the distinct ones).
The product of its digits is 384, while the sum is 18.
The square root of 2124432 is about 1457.5431382981. The cubic root of 2124432 is about 128.5526237048.
Adding to 2124432 its reverse (2344212), we get a palindrome (4468644).
It can be divided in two parts, 2124 and 432, that added together give a triangular number (2556 = T71).
The spelling of 2124432 in words is "two million, one hundred twenty-four thousand, four hundred thirty-two".
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