| Base | Representation |
|---|---|
| bin | 1111101001011001… |
| … | …0111111000000000 |
| 3 | 101211201100200122100 |
| 4 | 3322112113320000 |
| 5 | 32100220401320 |
| 6 | 1532440110400 |
| 7 | 206040563361 |
| oct | 37226277000 |
| 9 | 11751320570 |
| 10 | 4200168960 |
| 11 | 1865982119 |
| 12 | 992765400 |
| 13 | 51c2378a0 |
| 14 | 2bbb7bb68 |
| 15 | 198b14790 |
| hex | fa597e00 |
4200168960 has 480 divisors, whose sum is σ = 16131155040. Its totient is φ = 1003290624.
The previous prime is 4200168941. The next prime is 4200168961. The reversal of 4200168960 is 698610024.
4200168960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4200168961) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082051 + ... + 11082429.
It is an arithmetic number, because the mean of its divisors is an integer number (33606573).
Almost surely, 24200168960 is an apocalyptic number.
4200168960 is a gapful number since it is divisible by the number (40) 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 4200168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065577520).
4200168960 is an abundant number, since it is smaller than the sum of its proper divisors (11930986080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4200168960 is a wasteful number, since it uses less digits than its factorization.
4200168960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 458 (or 439 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 4200168960 is about 64808.7105256693. The cubic root of 4200168960 is about 1613.4502810443.
Adding to 4200168960 its reverse (698610024), we get a palindrome (4898778984).
The spelling of 4200168960 in words is "four billion, two hundred million, one hundred sixty-eight thousand, nine hundred sixty".
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