Base | Representation |
---|---|
bin | 1000001100100… |
… | …11010000000000 |
3 | 11210101101210000 |
4 | 10012103100000 |
5 | 120100314301 |
6 | 10453440000 |
7 | 1463312103 |
oct | 406232000 |
9 | 153341700 |
10 | 68760576 |
11 | 358a4925 |
12 | 1b040000 |
13 | 11326641 |
14 | 91bc73a |
15 | 6083786 |
hex | 4193400 |
68760576 has 110 divisors (see below), whose sum is σ = 205580210. Its totient is φ = 22892544.
The previous prime is 68760553. The next prime is 68760583. The reversal of 68760576 is 67506786.
68760576 is a `hidden beast` number, since 6 + 8 + 76 + 0 + 576 = 666.
It can be written as a sum of positive squares in only one way, i.e., 60466176 + 8294400 = 7776^2 + 2880^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82530 + ... + 83358.
It is an arithmetic number, because the mean of its divisors is an integer number (1868911).
Almost surely, 268760576 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 68760576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102790105).
68760576 is an abundant number, since it is smaller than the sum of its proper divisors (136819634).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68760576 is an equidigital number, since it uses as much as digits as its factorization.
68760576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 861 (or 834 counting only the distinct ones).
The product of its (nonzero) digits is 423360, while the sum is 45.
The square root of 68760576 is about 8292.1997081595. The cubic root of 68760576 is about 409.6816406275.
The spelling of 68760576 in words is "sixty-eight million, seven hundred sixty thousand, five hundred seventy-six".
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