| Base | Representation |
|---|---|
| bin | 1010011111010… |
| … | …01010001110000 |
| 3 | 20010120012220100 |
| 4 | 11033221101300 |
| 5 | 140011043222 |
| 6 | 12421512400 |
| 7 | 2115610530 |
| oct | 517512160 |
| 9 | 203505810 |
| 10 | 87987312 |
| 11 | 45737196 |
| 12 | 25572700 |
| 13 | 152c8aca |
| 14 | b9854c0 |
| 15 | 7ad04ac |
| hex | 53e9470 |
87987312 has 120 divisors (see below), whose sum is σ = 288419040. Its totient is φ = 24514560.
The previous prime is 87987311. The next prime is 87987313. The reversal of 87987312 is 21378978.
It is an interprime number because it is at equal distance from previous prime (87987311) and next prime (87987313).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (87987311) 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 23 ways as a sum of consecutive naturals, for example, 40264 + ... + 42392.
It is an arithmetic number, because the mean of its divisors is an integer number (2403492).
Almost surely, 287987312 is an apocalyptic number.
87987312 is a gapful number since it is divisible by the number (82) 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 87987312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144209520).
87987312 is an abundant number, since it is smaller than the sum of its proper divisors (200431728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
87987312 is a wasteful number, since it uses less digits than its factorization.
87987312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2191 (or 2182 counting only the distinct ones).
The product of its digits is 169344, while the sum is 45.
The square root of 87987312 is about 9380.1552225963. The cubic root of 87987312 is about 444.7746399202.
It can be divided in two parts, 8798 and 7312, that added together give a triangular number (16110 = T179).
The spelling of 87987312 in words is "eighty-seven million, nine hundred eighty-seven thousand, three hundred twelve".
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