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71025306 = 23112192271
BaseRepresentation
bin1000011101111…
…00001010011010
311221122110101220
410032330022122
5121140302211
611014152510
71521463602
oct416741232
9157573356
1071025306
1137101400
121b952736
131193a411
14960bc02
15637e806
hex43bc29a

71025306 has 72 divisors (see below), whose sum is σ = 165396672. Its totient is φ = 20314800.

The previous prime is 71025301. The next prime is 71025307. The reversal of 71025306 is 60352017.

It is not an unprimeable number, because it can be changed into a prime (71025301) 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 35 ways as a sum of consecutive naturals, for example, 261951 + ... + 262221.

It is an arithmetic number, because the mean of its divisors is an integer number (2297176).

Almost surely, 271025306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71025306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82698336).

71025306 is an abundant number, since it is smaller than the sum of its proper divisors (94371366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71025306 is a wasteful number, since it uses less digits than its factorization.

71025306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 71025306 is about 8427.6512742282. The cubic root of 71025306 is about 414.1309651239.

Subtracting from 71025306 its reverse (60352017), we obtain a square (10673289 = 32672).

The spelling of 71025306 in words is "seventy-one million, twenty-five thousand, three hundred six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 271 361 363 418 542 627 722 726 813 1083 1254 1626 2166 2299 2981 3971 4598 5149 5962 6897 7942 8943 10298 11913 13794 15447 17886 23826 30894 32791 43681 56639 65582 87362 97831 98373 113278 131043 169917 195662 196746 262086 293493 339834 586986 623029 1076141 1246058 1869087 2152282 3228423 3738174 6456846 11837551 23675102 35512653 71025306