| Base | Representation |
|---|---|
| bin | 111100100100100… |
| … | …0101010010111000 |
| 3 | 12020122100211202102 |
| 4 | 1321021011102320 |
| 5 | 13130300032440 |
| 6 | 533401522532 |
| 7 | 101236214516 |
| oct | 17111052270 |
| 9 | 5218324672 |
| 10 | 2032424120 |
| 11 | 953283361 |
| 12 | 4887a3448 |
| 13 | 2650ba82c |
| 14 | 153cd94b6 |
| 15 | bd669b15 |
| hex | 792454b8 |
2032424120 has 128 divisors (see below), whose sum is σ = 4996857600. Its totient is φ = 740966400.
The previous prime is 2032424101. The next prime is 2032424123. The reversal of 2032424120 is 214242302.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2032424092 and 2032424101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2032424123) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7499585 + ... + 7499855.
It is an arithmetic number, because the mean of its divisors is an integer number (39037950).
Almost surely, 22032424120 is an apocalyptic number.
2032424120 is a gapful number since it is divisible by the number (20) 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 2032424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498428800).
2032424120 is an abundant number, since it is smaller than the sum of its proper divisors (2964433480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2032424120 is a wasteful number, since it uses less digits than its factorization.
2032424120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 609 (or 605 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 2032424120 is about 45082.4147534269. The cubic root of 2032424120 is about 1266.6932222811.
Adding to 2032424120 its reverse (214242302), we get a palindrome (2246666422).
It can be divided in two parts, 20324 and 24120, that added together give a palindrome (44444).
The spelling of 2032424120 in words is "two billion, thirty-two million, four hundred twenty-four thousand, one hundred twenty".
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