Base | Representation |
---|---|
bin | 1111111111111… |
… | …0100000000000 |
3 | 11200021011121221 |
4 | 3333332200000 |
5 | 114134241340 |
6 | 10354124424 |
7 | 1443235516 |
oct | 377764000 |
9 | 150234557 |
10 | 67102720 |
11 | 349722a3 |
12 | 1a580714 |
13 | 10b95b69 |
14 | 8caa4b6 |
15 | 5d5744a |
hex | 3ffe800 |
67102720 has 48 divisors (see below), whose sum is σ = 161031780. Its totient is φ = 26836992.
The previous prime is 67102703. The next prime is 67102727. The reversal of 67102720 is 2720176.
It can be written as a sum of positive squares in 2 ways, for example, as 65545216 + 1557504 = 8096^2 + 1248^2 .
It is a nialpdrome in base 4.
It is a zygodrome in base 4.
It is not an unprimeable number, because it can be changed into a prime (67102727) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6964 + ... + 13516.
Almost surely, 267102720 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 67102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80515890).
67102720 is an abundant number, since it is smaller than the sum of its proper divisors (93929060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67102720 is an equidigital number, since it uses as much as digits as its factorization.
67102720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6580 (or 6560 counting only the distinct ones).
The product of its (nonzero) digits is 1176, while the sum is 25.
The square root of 67102720 is about 8191.6249914165. The cubic root of 67102720 is about 406.3622673547.
Adding to 67102720 its reverse (2720176), we get a palindrome (69822896).
The spelling of 67102720 in words is "sixty-seven million, one hundred two thousand, seven hundred twenty".
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