Base | Representation |
---|---|
bin | 1010010101110… |
… | …01000000000000 |
3 | 20001012220021100 |
4 | 11022321000000 |
5 | 134201202432 |
6 | 12335054400 |
7 | 2102200122 |
oct | 512710000 |
9 | 201186240 |
10 | 86740992 |
11 | 44a65878 |
12 | 25071400 |
13 | 14c80740 |
14 | b73d212 |
15 | 793607c |
hex | 52b9000 |
86740992 has 156 divisors (see below), whose sum is σ = 271318684. Its totient is φ = 26542080.
The previous prime is 86740967. The next prime is 86741003. The reversal of 86740992 is 29904768.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 81432576 = 2304^2 + 9024^2 .
It is a tau number, because it is divible by the number of its divisors (156).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479142 + ... + 479322.
Almost surely, 286740992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 86740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135659342).
86740992 is an abundant number, since it is smaller than the sum of its proper divisors (184577692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
86740992 is a wasteful number, since it uses less digits than its factorization.
86740992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 224 (or 199 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The square root of 86740992 is about 9313.4844177676. The cubic root of 86740992 is about 442.6646021742.
The spelling of 86740992 in words is "eighty-six million, seven hundred forty thousand, nine hundred ninety-two".
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