| Base | Representation |
|---|---|
| bin | 1010010101101… |
| … | …01100011100000 |
| 3 | 20001012011220200 |
| 4 | 11022311203200 |
| 5 | 134200230010 |
| 6 | 12334505200 |
| 7 | 2102111022 |
| oct | 512654340 |
| 9 | 201164820 |
| 10 | 86726880 |
| 11 | 44a56209 |
| 12 | 25065200 |
| 13 | 14c771a6 |
| 14 | b738012 |
| 15 | 7931cc0 |
| hex | 52b58e0 |
86726880 has 144 divisors (see below), whose sum is σ = 298378080. Its totient is φ = 22938624.
The previous prime is 86726879. The next prime is 86726881. The reversal of 86726880 is 8862768.
It is an interprime number because it is at equal distance from previous prime (86726879) and next prime (86726881).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (86726881) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329629 + ... + 329891.
It is an arithmetic number, because the mean of its divisors is an integer number (2072070).
Almost surely, 286726880 is an apocalyptic number.
86726880 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 86726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149189040).
86726880 is an abundant number, since it is smaller than the sum of its proper divisors (211651200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86726880 is a wasteful number, since it uses less digits than its factorization.
86726880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 513 (or 502 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 45.
The square root of 86726880 is about 9312.7267757623. The cubic root of 86726880 is about 442.6405949871.
The spelling of 86726880 in words is "eighty-six million, seven hundred twenty-six thousand, eight hundred eighty".
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