| Base | Representation |
|---|---|
| bin | 1110101010111… |
| … | …01011110000000 |
| 3 | 22120120102010220 |
| 4 | 13111131132000 |
| 5 | 223001104430 |
| 6 | 20113423040 |
| 7 | 3023021463 |
| oct | 725353600 |
| 9 | 276512126 |
| 10 | 123066240 |
| 11 | 63516540 |
| 12 | 3526aa80 |
| 13 | 1c65b77b |
| 14 | 124b72da |
| 15 | ac0e110 |
| hex | 755d780 |
123066240 has 128 divisors (see below), whose sum is σ = 428008320. Its totient is φ = 29829120.
The previous prime is 123066239. The next prime is 123066241. The reversal of 123066240 is 42660321.
It is an interprime number because it is at equal distance from previous prime (123066239) and next prime (123066241).
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 (24).
It is a self number, because there is not a number n which added to its sum of digits gives 123066240.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123066241) 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, 18207 + ... + 24033.
It is an arithmetic number, because the mean of its divisors is an integer number (3343815).
Almost surely, 2123066240 is an apocalyptic number.
123066240 is a gapful number since it is divisible by the number (10) 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 123066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214004160).
123066240 is an abundant number, since it is smaller than the sum of its proper divisors (304942080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123066240 is a wasteful number, since it uses less digits than its factorization.
123066240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5860 (or 5848 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The square root of 123066240 is about 11093.5224342857. The cubic root of 123066240 is about 497.4082421281.
The spelling of 123066240 in words is "one hundred twenty-three million, sixty-six thousand, two hundred forty".
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