| Base | Representation |
|---|---|
| bin | 1111000010001… |
| … | …10100111100000 |
| 3 | 22210022110212200 |
| 4 | 13201012213200 |
| 5 | 224241241433 |
| 6 | 20303053200 |
| 7 | 3060663015 |
| oct | 741064740 |
| 9 | 283273780 |
| 10 | 126118368 |
| 11 | 65210662 |
| 12 | 362a1200 |
| 13 | 20189a6c |
| 14 | 12a6d70c |
| 15 | b113613 |
| hex | 78469e0 |
126118368 has 72 divisors (see below), whose sum is σ = 361179000. Its totient is φ = 41743104.
The previous prime is 126118367. The next prime is 126118379. The reversal of 126118368 is 863811621.
126118368 is a `hidden beast` number, since 1 + 2 + 611 + 8 + 36 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (126118367) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41443 + ... + 44381.
It is an arithmetic number, because the mean of its divisors is an integer number (5016375).
Almost surely, 2126118368 is an apocalyptic number.
126118368 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 126118368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180589500).
126118368 is an abundant number, since it is smaller than the sum of its proper divisors (235060632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126118368 is a wasteful number, since it uses less digits than its factorization.
126118368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3104 (or 3093 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 126118368 is about 11230.2434523923. The cubic root of 126118368 is about 501.4867322064.
Adding to 126118368 its reverse (863811621), we get a palindrome (989929989).
The spelling of 126118368 in words is "one hundred twenty-six million, one hundred eighteen thousand, three hundred sixty-eight".
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