| Base | Representation |
|---|---|
| bin | 1101101110111… |
| … | …01001111000000 |
| 3 | 22000202211000020 |
| 4 | 12313131033000 |
| 5 | 213442412320 |
| 6 | 15233053440 |
| 7 | 2566122600 |
| oct | 667351700 |
| 9 | 260684006 |
| 10 | 115200960 |
| 11 | 5a034206 |
| 12 | 326b7280 |
| 13 | 1ab36764 |
| 14 | 1142ac00 |
| 15 | a1a8940 |
| hex | 6ddd3c0 |
115200960 has 336 divisors, whose sum is σ = 444764160. Its totient is φ = 25159680.
The previous prime is 115200947. The next prime is 115200973. The reversal of 115200960 is 69002511.
It is an interprime number because it is at equal distance from previous prime (115200947) and next prime (115200973).
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×1152009602 = 26542522369843200, which contains 22 as substring.
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 115200960.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1458201 + ... + 1458279.
Almost surely, 2115200960 is an apocalyptic number.
115200960 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 115200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222382080).
115200960 is an abundant number, since it is smaller than the sum of its proper divisors (329563200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
115200960 is a wasteful number, since it uses less digits than its factorization.
115200960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 127 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 24.
The square root of 115200960 is about 10733.1710132654. The cubic root of 115200960 is about 486.5775112426.
It can be divided in two parts, 115200 and 960, that multiplied together give a cube (110592000 = 4803).
The spelling of 115200960 in words is "one hundred fifteen million, two hundred thousand, nine hundred sixty".
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