| Base | Representation |
|---|---|
| bin | 1101101111101… |
| … | …10101010100000 |
| 3 | 22000222002220000 |
| 4 | 12313312222200 |
| 5 | 214004230440 |
| 6 | 15235220000 |
| 7 | 2600035350 |
| oct | 667665240 |
| 9 | 260862800 |
| 10 | 115305120 |
| 11 | 5a0a5497 |
| 12 | 32747600 |
| 13 | 1ab71ca8 |
| 14 | 11456b60 |
| 15 | a1c9730 |
| hex | 6df6aa0 |
115305120 has 480 divisors, whose sum is σ = 491774976. Its totient is φ = 24883200.
The previous prime is 115305119. The next prime is 115305121. The reversal of 115305120 is 21503511.
115305120 is a `hidden beast` number, since 1 + 153 + 0 + 512 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (115305119) and next prime (115305121).
It is a tau number, because it is divible by the number of its divisors (480).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 115305093 and 115305102.
It is not an unprimeable number, because it can be changed into a prime (115305121) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812300 + ... + 2812340.
Almost surely, 2115305120 is an apocalyptic number.
115305120 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 115305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245887488).
115305120 is an abundant number, since it is smaller than the sum of its proper divisors (376469856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
115305120 is a wasteful number, since it uses less digits than its factorization.
115305120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 150, while the sum is 18.
The square root of 115305120 is about 10738.0221642535. The cubic root of 115305120 is about 486.7241149005.
Adding to 115305120 its reverse (21503511), we get a palindrome (136808631).
The spelling of 115305120 in words is "one hundred fifteen million, three hundred five thousand, one hundred twenty".
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