Base | Representation |
---|---|
bin | 1111111111111… |
… | …1111010100000 |
3 | 11200021110120110 |
4 | 3333333322200 |
5 | 114134433022 |
6 | 10354211320 |
7 | 1443261432 |
oct | 377777240 |
9 | 150243513 |
10 | 67108512 |
11 | 34976689 |
12 | 1a583b40 |
13 | 10b986a3 |
14 | 8cac652 |
15 | 5d5900c |
hex | 3fffea0 |
67108512 has 48 divisors (see below), whose sum is σ = 176752800. Its totient is φ = 22294272.
The previous prime is 67108511. The next prime is 67108529. The reversal of 67108512 is 21580176.
It is a tau number, because it is divible by the number of its divisors (48).
It is a nialpdrome in base 4.
It is a zygodrome in base 4.
It is a self number, because there is not a number n which added to its sum of digits gives 67108512.
It is not an unprimeable number, because it can be changed into a prime (67108511) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32503 + ... + 34505.
It is an arithmetic number, because the mean of its divisors is an integer number (3682350).
Almost surely, 267108512 is an apocalyptic number.
It is an amenable number.
67108512 is an abundant number, since it is smaller than the sum of its proper divisors (109644288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67108512 is a wasteful number, since it uses less digits than its factorization.
67108512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).
The product of its (nonzero) digits is 3360, while the sum is 30.
The square root of 67108512 is about 8191.9785155968. The cubic root of 67108512 is about 406.3739587960.
Adding to 67108512 its reverse (21580176), we get a palindrome (88688688).
The spelling of 67108512 in words is "sixty-seven million, one hundred eight thousand, five hundred twelve".
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