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71018064 = 24321359643
BaseRepresentation
bin1000011101110…
…10011001010000
311221122002110200
410032322121100
5121140034224
611014055200
71521433515
oct416723120
9157562420
1071018064
11370a6a17
121b94a500
1311937030
14960930c
15637c5c9
hex43ba650

71018064 has 120 divisors (see below), whose sum is σ = 218006880. Its totient is φ = 21447936.

The previous prime is 71018063. The next prime is 71018083. The reversal of 71018064 is 46081017.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71018063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110127 + ... + 110769.

It is an arithmetic number, because the mean of its divisors is an integer number (1816724).

Almost surely, 271018064 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 71018064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109003440).

71018064 is an abundant number, since it is smaller than the sum of its proper divisors (146988816).

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

71018064 is a wasteful number, since it uses less digits than its factorization.

71018064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71018064 is about 8427.2216061998. The cubic root of 71018064 is about 414.1168892095.

The spelling of 71018064 in words is "seventy-one million, eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 59 72 78 104 117 118 144 156 177 208 234 236 312 354 468 472 531 624 643 708 767 936 944 1062 1286 1416 1534 1872 1929 2124 2301 2572 2832 3068 3858 4248 4602 5144 5787 6136 6903 7716 8359 8496 9204 10288 11574 12272 13806 15432 16718 18408 23148 25077 27612 30864 33436 36816 37937 46296 50154 55224 66872 75231 75874 92592 100308 110448 113811 133744 150462 151748 200616 227622 300924 303496 341433 401232 455244 493181 601848 606992 682866 910488 986362 1203696 1365732 1479543 1820976 1972724 2731464 2959086 3945448 4438629 5462928 5918172 7890896 8877258 11836344 17754516 23672688 35509032 71018064