Base | Representation |
---|---|
bin | 1000011110011… |
… | …11101000100100 |
3 | 11221210111210202 |
4 | 10033033220210 |
5 | 121200330220 |
6 | 11020010032 |
7 | 1522245245 |
oct | 417175044 |
9 | 157714722 |
10 | 71105060 |
11 | 37156314 |
12 | 1b990918 |
13 | 11967800 |
14 | 962cccc |
15 | 6398275 |
hex | 43cfa24 |
71105060 has 72 divisors (see below), whose sum is σ = 164019240. Its totient is φ = 25878528.
The previous prime is 71105057. The next prime is 71105063. The reversal of 71105060 is 6050117.
It is an interprime number because it is at equal distance from previous prime (71105057) and next prime (71105063).
It can be written as a sum of positive squares in 12 ways, for example, as 42823936 + 28281124 = 6544^2 + 5318^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (71105063) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368324 + ... + 368516.
It is an arithmetic number, because the mean of its divisors is an integer number (2278045).
Almost surely, 271105060 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 71105060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82009620).
71105060 is an abundant number, since it is smaller than the sum of its proper divisors (92914180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71105060 is a wasteful number, since it uses less digits than its factorization.
71105060 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 337 (or 322 counting only the distinct ones).
The product of its (nonzero) digits is 210, while the sum is 20.
The square root of 71105060 is about 8432.3816327299. The cubic root of 71105060 is about 414.2859157465.
Adding to 71105060 its reverse (6050117), we get a palindrome (77155177).
The spelling of 71105060 in words is "seventy-one million, one hundred five thousand, sixty".
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