Base | Representation |
---|---|
bin | 1101011101000… |
… | …01110010000000 |
3 | 21212100220012200 |
4 | 12232201302000 |
5 | 212343012123 |
6 | 15110553200 |
7 | 2540203512 |
oct | 656416200 |
9 | 255326180 |
10 | 112860288 |
11 | 58785672 |
12 | 31968800 |
13 | 1a4c7248 |
14 | 10dbbbb2 |
15 | 9d95143 |
hex | 6ba1c80 |
112860288 has 72 divisors (see below), whose sum is σ = 325808145. Its totient is φ = 37499904.
The previous prime is 112860281. The next prime is 112860317. The reversal of 112860288 is 882068211.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 65415744 + 47444544 = 8088^2 + 6888^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=7512.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (112860281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 360420 + ... + 360732.
Almost surely, 2112860288 is an apocalyptic number.
112860288 is a gapful number since it is divisible by the number (18) 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 112860288
112860288 is an abundant number, since it is smaller than the sum of its proper divisors (212947857).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112860288 is an frugal number, since it uses more digits than its factorization.
112860288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 646 (or 318 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 36.
The square root of 112860288 is about 10623.5722805467. The cubic root of 112860288 is about 483.2594827581.
It can be divided in two parts, 1128 and 60288, that added together give a palindrome (61416).
The spelling of 112860288 in words is "one hundred twelve million, eight hundred sixty thousand, two hundred eighty-eight".
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