| Base | Representation |
|---|---|
| bin | 1110101101001… |
| … | …01011000000000 |
| 3 | 22121010101011100 |
| 4 | 13112211120000 |
| 5 | 223040021033 |
| 6 | 20124014400 |
| 7 | 3025356246 |
| oct | 726453000 |
| 9 | 277111140 |
| 10 | 123360768 |
| 11 | 636a7853 |
| 12 | 35391400 |
| 13 | 1c73284b |
| 14 | 12552796 |
| 15 | ac6b513 |
| hex | 75a5600 |
123360768 has 120 divisors (see below), whose sum is σ = 375031800. Its totient is φ = 38928384.
The previous prime is 123360763. The next prime is 123360779. The reversal of 123360768 is 867063321.
It is a happy number.
123360768 is a `hidden beast` number, since 12 + 33 + 607 + 6 + 8 = 666.
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 (123360763) 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 11 ways as a sum of consecutive naturals, for example, 86848 + ... + 88256.
It is an arithmetic number, because the mean of its divisors is an integer number (3125265).
Almost surely, 2123360768 is an apocalyptic number.
123360768 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 123360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187515900).
123360768 is an abundant number, since it is smaller than the sum of its proper divisors (251671032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123360768 is a wasteful number, since it uses less digits than its factorization.
123360768 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1452 (or 1433 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 123360768 is about 11106.7892750335. The cubic root of 123360768 is about 497.8047330452.
It can be divided in two parts, 1233 and 60768, that added together give a square (62001 = 2492).
The spelling of 123360768 in words is "one hundred twenty-three million, three hundred sixty thousand, seven hundred sixty-eight".
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