| Base | Representation |
|---|---|
| bin | 1010010010100… |
| … | …00000111001000 |
| 3 | 20000102001221100 |
| 4 | 11021100013020 |
| 5 | 134043430433 |
| 6 | 12321541400 |
| 7 | 2065430433 |
| oct | 511200710 |
| 9 | 200361840 |
| 10 | 86311368 |
| 11 | 447a2010 |
| 12 | 24aa4860 |
| 13 | 14b60020 |
| 14 | b66a81a |
| 15 | 789db13 |
| hex | 52501c8 |
86311368 has 192 divisors, whose sum is σ = 280687680. Its totient is φ = 23616000.
The previous prime is 86311367. The next prime is 86311369.
86311368 is a `hidden beast` number, since 8 + 631 + 13 + 6 + 8 = 666.
86311368 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (86311367) and next prime (86311369).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (86311361) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854518 + ... + 854618.
It is an arithmetic number, because the mean of its divisors is an integer number (1461915).
Almost surely, 286311368 is an apocalyptic number.
86311368 is a gapful number since it is divisible by the number (88) 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 86311368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).
86311368 is an abundant number, since it is smaller than the sum of its proper divisors (194376312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86311368 is a wasteful number, since it uses less digits than its factorization.
86311368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 220 (or 213 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 86311368 is about 9290.3911650694. The cubic root of 86311368 is about 441.9325600238.
It can be divided in two parts, 8631 and 1368, that added together give a palindrome (9999).
The spelling of 86311368 in words is "eighty-six million, three hundred eleven thousand, three hundred sixty-eight".
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