Base | Representation |
---|---|
bin | 1010010101010… |
… | …01001010000100 |
3 | 20001002121020221 |
4 | 11022221022010 |
5 | 134142113400 |
6 | 12333434124 |
7 | 2101510000 |
oct | 512511204 |
9 | 201077227 |
10 | 86676100 |
11 | 44a21045 |
12 | 2503b944 |
13 | 14c5a044 |
14 | b723700 |
15 | 7921c1a |
hex | 52a9284 |
86676100 has 135 divisors (see below), whose sum is σ = 231578277. Its totient is φ = 28153440.
The previous prime is 86676071. The next prime is 86676101. The reversal of 86676100 is 167668.
The square root of 86676100 is 9310.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 31203396 + 55472704 = 5586^2 + 7448^2 .
It is a super-2 number, since 2×866761002 = 15025492622420000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (86676101) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4561891 + ... + 4561909.
Almost surely, 286676100 is an apocalyptic number.
86676100 is the 9310-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 86676100
86676100 is an abundant number, since it is smaller than the sum of its proper divisors (144902177).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86676100 is a wasteful number, since it uses less digits than its factorization.
86676100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80 (or 33 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 34.
The cubic root of 86676100 is about 442.5541870293.
The spelling of 86676100 in words is "eighty-six million, six hundred seventy-six thousand, one hundred".
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