Base | Representation |
---|---|
bin | 1101110001111… |
… | …00100010011000 |
3 | 22001111122111000 |
4 | 12320330202120 |
5 | 214042410240 |
6 | 15245305000 |
7 | 2602336635 |
oct | 670744230 |
9 | 261448430 |
10 | 115591320 |
11 | 5a280519 |
12 | 32865160 |
13 | 1ac42340 |
14 | 114cd18c |
15 | a234430 |
hex | 6e3c898 |
115591320 has 128 divisors (see below), whose sum is σ = 414993600. Its totient is φ = 28449792.
The previous prime is 115591319. The next prime is 115591321. The reversal of 115591320 is 23195511.
It is an interprime number because it is at equal distance from previous prime (115591319) and next prime (115591321).
It is a super-3 number, since 3×1155913203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 3.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (115591321) 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 31 ways as a sum of consecutive naturals, for example, 9924 + ... + 18156.
Almost surely, 2115591320 is an apocalyptic number.
115591320 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 115591320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207496800).
115591320 is an abundant number, since it is smaller than the sum of its proper divisors (299402280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
115591320 is a wasteful number, since it uses less digits than its factorization.
115591320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8266 (or 8256 counting only the distinct ones).
The product of its (nonzero) digits is 1350, while the sum is 27.
The square root of 115591320 is about 10751.3403815524. The cubic root of 115591320 is about 487.1264831195.
The spelling of 115591320 in words is "one hundred fifteen million, five hundred ninety-one thousand, three hundred twenty".
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