| Base | Representation |
|---|---|
| bin | 1010011000100… |
| … | …11110001100000 |
| 3 | 20001220210022000 |
| 4 | 11030103301200 |
| 5 | 134300102200 |
| 6 | 12351044000 |
| 7 | 2105306115 |
| oct | 514236140 |
| 9 | 201823260 |
| 10 | 87112800 |
| 11 | 4519a155 |
| 12 | 25210600 |
| 13 | 15080a48 |
| 14 | b7d890c |
| 15 | 79ab300 |
| hex | 5313c60 |
87112800 has 288 divisors, whose sum is σ = 326541600. Its totient is φ = 22394880.
The previous prime is 87112793. The next prime is 87112801. The reversal of 87112800 is 821178.
It is a tau number, because it is divible by the number of its divisors (288).
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 (87112801) 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 47 ways as a sum of consecutive naturals, for example, 799146 + ... + 799254.
It is an arithmetic number, because the mean of its divisors is an integer number (1133825).
Almost surely, 287112800 is an apocalyptic number.
87112800 is a gapful number since it is divisible by the number (80) 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 87112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163270800).
87112800 is an abundant number, since it is smaller than the sum of its proper divisors (239428800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87112800 is a wasteful number, since it uses less digits than its factorization.
87112800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 175 (or 156 counting only the distinct ones).
The product of its (nonzero) digits is 896, while the sum is 27.
The square root of 87112800 is about 9333.4238090853. The cubic root of 87112800 is about 443.2961822123.
Adding to 87112800 its reverse (821178), we get a palindrome (87933978).
It can be divided in two parts, 8711 and 2800, that added together give a palindrome (11511).
The spelling of 87112800 in words is "eighty-seven million, one hundred twelve thousand, eight hundred".
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