| Base | Representation |
|---|---|
| bin | 1111010101001… |
| … | …00110010000000 |
| 3 | 22221222121201000 |
| 4 | 13222210302000 |
| 5 | 230410214331 |
| 6 | 20432212000 |
| 7 | 3121043442 |
| oct | 752446200 |
| 9 | 287877630 |
| 10 | 128601216 |
| 11 | 66656aa7 |
| 12 | 3709a000 |
| 13 | 20848bc3 |
| 14 | 13118492 |
| 15 | b4540e6 |
| hex | 7aa4c80 |
128601216 has 128 divisors (see below), whose sum is σ = 383846400. Its totient is φ = 42384384.
The previous prime is 128601203. The next prime is 128601217. The reversal of 128601216 is 612106821.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 128601216.
It is not an unprimeable number, because it can be changed into a prime (128601217) 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 15 ways as a sum of consecutive naturals, for example, 438766 + ... + 439058.
It is an arithmetic number, because the mean of its divisors is an integer number (2998800).
Almost surely, 2128601216 is an apocalyptic number.
128601216 is a gapful number since it is divisible by the number (16) 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 128601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).
128601216 is an abundant number, since it is smaller than the sum of its proper divisors (255245184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128601216 is a wasteful number, since it uses less digits than its factorization.
With its predecessor (128601215) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (443).
128601216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 443 (or 425 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 128601216 is about 11340.2476163442. The cubic root of 128601216 is about 504.7562343438.
The spelling of 128601216 in words is "one hundred twenty-eight million, six hundred one thousand, two hundred sixteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •