| Base | Representation |
|---|---|
| bin | 1111000010101… |
| … | …01101111000000 |
| 3 | 22210102121211000 |
| 4 | 13201111233000 |
| 5 | 224300232123 |
| 6 | 20304252000 |
| 7 | 3061341363 |
| oct | 741255700 |
| 9 | 283377730 |
| 10 | 126180288 |
| 11 | 65253133 |
| 12 | 36311000 |
| 13 | 201abcc0 |
| 14 | 12a880da |
| 15 | b126b43 |
| hex | 7855bc0 |
126180288 has 224 divisors, whose sum is σ = 412211520. Its totient is φ = 37601280.
The previous prime is 126180287. The next prime is 126180317. The reversal of 126180288 is 882081621.
126180288 is a `hidden beast` number, since 12 + 618 + 0 + 28 + 8 = 666.
It is a Cunningham number, because it is equal to 112332-1.
It is a super-4 number, since 4×1261802884 (a number of 34 digits) contains 4444 as substring.
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 (126180283) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920956 + ... + 921092.
It is an arithmetic number, because the mean of its divisors is an integer number (1840230).
Almost surely, 2126180288 is an apocalyptic number.
126180288 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 126180288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206105760).
126180288 is an abundant number, since it is smaller than the sum of its proper divisors (286031232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126180288 is a wasteful number, since it uses less digits than its factorization.
126180288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 196 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 36.
The square root of 126180288 is about 11232.9999554883. Note that the first 4 decimals coincide. The cubic root of 126180288 is about 501.5687899814.
The spelling of 126180288 in words is "one hundred twenty-six million, one hundred eighty thousand, two hundred eighty-eight".
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