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71105060 = 225132109193
BaseRepresentation
bin1000011110011…
…11101000100100
311221210111210202
410033033220210
5121200330220
611020010032
71522245245
oct417175044
9157714722
1071105060
1137156314
121b990918
1311967800
14962cccc
156398275
hex43cfa24

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".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 169 193 218 260 338 386 436 545 676 772 845 965 1090 1417 1690 1930 2180 2509 2834 3380 3860 5018 5668 7085 10036 12545 14170 18421 21037 25090 28340 32617 36842 42074 50180 65234 73684 84148 92105 105185 130468 163085 184210 210370 273481 326170 368420 420740 546962 652340 1093924 1367405 2734810 3555253 5469620 7110506 14221012 17776265 35552530 71105060