| Base | Representation |
|---|---|
| bin | 1101110010100… |
| … | …00010100000000 |
| 3 | 22001122202121000 |
| 4 | 12321100110000 |
| 5 | 214103003240 |
| 6 | 15251132000 |
| 7 | 2603125041 |
| oct | 671202400 |
| 9 | 261582530 |
| 10 | 115672320 |
| 11 | 5a326365 |
| 12 | 328a4000 |
| 13 | 1ac7017a |
| 14 | 115108c8 |
| 15 | a24d430 |
| hex | 6e50500 |
115672320 has 144 divisors (see below), whose sum is σ = 410598720. Its totient is φ = 30836736.
The previous prime is 115672303. The next prime is 115672327. The reversal of 115672320 is 23276511.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×1156723203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (115672327) 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, 32887 + ... + 36233.
It is an arithmetic number, because the mean of its divisors is an integer number (2851380).
Almost surely, 2115672320 is an apocalyptic number.
115672320 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 115672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205299360).
115672320 is an abundant number, since it is smaller than the sum of its proper divisors (294926400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
115672320 is an equidigital number, since it uses as much as digits as its factorization.
115672320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3377 (or 3357 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 115672320 is about 10755.1066940314. The cubic root of 115672320 is about 487.2402403124.
The spelling of 115672320 in words is "one hundred fifteen million, six hundred seventy-two thousand, three hundred twenty".
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