| Base | Representation |
|---|---|
| bin | 1111000011110… |
| … | …01100110000000 |
| 3 | 22210201002022000 |
| 4 | 13201321212000 |
| 5 | 224314432133 |
| 6 | 20311344000 |
| 7 | 3062522532 |
| oct | 741714600 |
| 9 | 283632260 |
| 10 | 126327168 |
| 11 | 65343520 |
| 12 | 36382000 |
| 13 | 20230b06 |
| 14 | 12ac5852 |
| 15 | b155413 |
| hex | 7879980 |
126327168 has 128 divisors (see below), whose sum is σ = 406857600. Its totient is φ = 38269440.
The previous prime is 126327151. The next prime is 126327169. The reversal of 126327168 is 861723621.
126327168 is a `hidden beast` number, since 1 + 2 + 632 + 7 + 16 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126327169) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36355 + ... + 39677.
It is an arithmetic number, because the mean of its divisors is an integer number (3178575).
Almost surely, 2126327168 is an apocalyptic number.
126327168 is a gapful number since it is divisible by the number (18) 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 126327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203428800).
126327168 is an abundant number, since it is smaller than the sum of its proper divisors (280530432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126327168 is a wasteful number, since it uses less digits than its factorization.
126327168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3357 (or 3339 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 126327168 is about 11239.5359334805. The cubic root of 126327168 is about 501.7633313481.
The spelling of 126327168 in words is "one hundred twenty-six million, three hundred twenty-seven thousand, one hundred sixty-eight".
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