| Base | Representation |
|---|---|
| bin | 1110101100110… |
| … | …00000111110000 |
| 3 | 22121000121200200 |
| 4 | 13112120013300 |
| 5 | 223031301410 |
| 6 | 20122515200 |
| 7 | 3025042053 |
| oct | 726300760 |
| 9 | 277017620 |
| 10 | 123306480 |
| 11 | 6366aa90 |
| 12 | 35365b00 |
| 13 | 1c713c1b |
| 14 | 1253aa9a |
| 15 | ac5a3c0 |
| hex | 75981f0 |
123306480 has 120 divisors (see below), whose sum is σ = 451779120. Its totient is φ = 29890560.
The previous prime is 123306433. The next prime is 123306487. The reversal of 123306480 is 84603321.
It is a happy number.
123306480 is a `hidden beast` number, since 12 + 3 + 3 + 0 + 648 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123306487) 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 23 ways as a sum of consecutive naturals, for example, 136 + ... + 15704.
It is an arithmetic number, because the mean of its divisors is an integer number (3764826).
Almost surely, 2123306480 is an apocalyptic number.
123306480 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 123306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225889560).
123306480 is an abundant number, since it is smaller than the sum of its proper divisors (328472640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123306480 is a wasteful number, since it uses less digits than its factorization.
123306480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15599 (or 15590 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 123306480 is about 11104.3450955020. The cubic root of 123306480 is about 497.7316985112.
It can be divided in two parts, 123 and 306480, that added together give a palindrome (306603).
The spelling of 123306480 in words is "one hundred twenty-three million, three hundred six thousand, four hundred eighty".
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