Base | Representation |
---|---|
bin | 1000001000001011000000 |
3 | 11000020200000 |
4 | 20020023000 |
5 | 1021134444 |
6 | 113400000 |
7 | 24052506 |
oct | 10101300 |
9 | 4006600 |
10 | 2130624 |
11 | 1225851 |
12 | 869000 |
13 | 597a32 |
14 | 3d6676 |
15 | 2c1469 |
hex | 2082c0 |
2130624 has 84 divisors (see below), whose sum is σ = 6379464. Its totient is φ = 705024.
The previous prime is 2130619. The next prime is 2130631. The reversal of 2130624 is 4260312.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2130597 and 2130606.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15484 + ... + 15620.
It is an arithmetic number, because the mean of its divisors is an integer number (75946).
22130624 is an apocalyptic number.
2130624 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 2130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189732).
2130624 is an abundant number, since it is smaller than the sum of its proper divisors (4248840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130624 is an equidigital number, since it uses as much as digits as its factorization.
2130624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 142 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2130624 is about 1459.6657151554. The cubic root of 2130624 is about 128.6773983490.
Adding to 2130624 its reverse (4260312), we get a palindrome (6390936).
The spelling of 2130624 in words is "two million, one hundred thirty thousand, six hundred twenty-four".
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