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71665986 = 23719312897
BaseRepresentation
bin1000100010110…
…00100101000010
311222212000020210
410101120211002
5121321302421
611040014550
71530102510
oct421304502
9158760223
1071665986
11374a9797
1220001456
1311b02c12
1497374b0
156459576
hex4458942

71665986 has 64 divisors (see below), whose sum is σ = 178053120. Its totient is φ = 18766080.

The previous prime is 71665981. The next prime is 71665987. The reversal of 71665986 is 68956617.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71665981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23290 + ... + 26186.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 271665986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71665986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89026560).

71665986 is an abundant number, since it is smaller than the sum of its proper divisors (106387134).

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

71665986 is a wasteful number, since it uses less digits than its factorization.

71665986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959.

The product of its digits is 544320, while the sum is 48.

The square root of 71665986 is about 8465.5765308690. The cubic root of 71665986 is about 415.3724550993.

The spelling of 71665986 in words is "seventy-one million, six hundred sixty-five thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 266 399 434 589 651 798 1178 1302 1767 2897 3534 4123 5794 8246 8691 12369 17382 20279 24738 40558 55043 60837 89807 110086 121674 165129 179614 269421 330258 385301 538842 628649 770602 1155903 1257298 1706333 1885947 2311806 3412666 3771894 5118999 10237998 11944331 23888662 35832993 71665986