Base | Representation |
---|---|
bin | 1001001111000101101100 |
3 | 11120000010101 |
4 | 21033011230 |
5 | 1104433400 |
6 | 123520444 |
7 | 26402413 |
oct | 11170554 |
9 | 4500111 |
10 | 2421100 |
11 | 1404010 |
12 | 989124 |
13 | 66a006 |
14 | 47047a |
15 | 32c56a |
hex | 24f16c |
2421100 has 72 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 840000.
The previous prime is 2421077. The next prime is 2421109. The reversal of 2421100 is 11242.
2421100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
2421100 is a nontrivial binomial coefficient, being equal to C(2201, 2).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2421109) 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 23 ways as a sum of consecutive naturals, for example, 34065 + ... + 34135.
It is an arithmetic number, because the mean of its divisors is an integer number (83328).
22421100 is an apocalyptic number.
2421100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2421100 is the 2200-th triangular number.
2421100 is the 734-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).
2421100 is an abundant number, since it is smaller than the sum of its proper divisors (3578516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2421100 is a wasteful number, since it uses less digits than its factorization.
2421100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127 (or 120 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 2421100 is about 1555.9884318336. The cubic root of 2421100 is about 134.2778078511.
Adding to 2421100 its reverse (11242), we get a palindrome (2432342).
The spelling of 2421100 in words is "two million, four hundred twenty-one thousand, one hundred".
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