| Base | Representation |
|---|---|
| bin | 101000010010… |
| … | …1110111100000 |
| 3 | 1110202100021120 |
| 4 | 1100211313200 |
| 5 | 20402022444 |
| 6 | 2032452240 |
| 7 | 344400441 |
| oct | 120456740 |
| 9 | 43670246 |
| 10 | 21126624 |
| 11 | 10a1a822 |
| 12 | 70aa080 |
| 13 | 44b917c |
| 14 | 2b3d2c8 |
| 15 | 1cc4b19 |
| hex | 1425de0 |
21126624 has 72 divisors (see below), whose sum is σ = 57554280. Its totient is φ = 6785280.
The previous prime is 21126617. The next prime is 21126629. The reversal of 21126624 is 42662112.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 21126594 and 21126603.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21126629) 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 11 ways as a sum of consecutive naturals, for example, 92142 + ... + 92370.
It is an arithmetic number, because the mean of its divisors is an integer number (799365).
Almost surely, 221126624 is an apocalyptic number.
21126624 is a gapful number since it is divisible by the number (24) 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 21126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28777140).
21126624 is an abundant number, since it is smaller than the sum of its proper divisors (36427656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21126624 is a wasteful number, since it uses less digits than its factorization.
21126624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 304 (or 265 counting only the distinct ones).
The product of its digits is 1152, while the sum is 24.
The square root of 21126624 is about 4596.3707422270. The cubic root of 21126624 is about 276.4458243133.
Adding to 21126624 its reverse (42662112), we get a palindrome (63788736).
The spelling of 21126624 in words is "twenty-one million, one hundred twenty-six thousand, six hundred twenty-four".
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