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71010666 = 232171092129
BaseRepresentation
bin1000011101110…
…00100101101010
311221121201022200
410032320211222
5121134320131
611014001030
71521403116
oct416704552
9157551280
1071010666
11370a1401
121b946176
131193385c
149606746
15637a2e6
hex43b896a

71010666 has 48 divisors (see below), whose sum is σ = 164478600. Its totient is φ = 22063104.

The previous prime is 71010613. The next prime is 71010671. The reversal of 71010666 is 66601017.

It can be written as a sum of positive squares in 4 ways, for example, as 65853225 + 5157441 = 8115^2 + 2271^2 .

It is an unprimeable number.

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, 32290 + ... + 34418.

Almost surely, 271010666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71010666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82239300).

71010666 is an abundant number, since it is smaller than the sum of its proper divisors (93467934).

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

71010666 is a wasteful number, since it uses less digits than its factorization.

71010666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 71010666 is about 8426.7826600667. The cubic root of 71010666 is about 414.1025090975.

The spelling of 71010666 in words is "seventy-one million, ten thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 2129 3706 4258 5559 6387 11118 12774 16677 19161 33354 36193 38322 72386 108579 217158 232061 325737 464122 651474 696183 1392366 2088549 3945037 4177098 7890074 11835111 23670222 35505333 71010666