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71022240 = 25325313743
BaseRepresentation
bin1000011101110…
…11011010100000
311221122022012100
410032323122200
5121140202430
611014130400
71521451632
oct416733240
9157568170
1071022240
11370aa073
121b950a00
1311938bc3
14960aa52
15637d960
hex43bb6a0

71022240 has 288 divisors, whose sum is σ = 262918656. Its totient is φ = 17418240.

The previous prime is 71022233. The next prime is 71022241. The reversal of 71022240 is 4222017.

71022240 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (71022241) 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 47 ways as a sum of consecutive naturals, for example, 1651659 + ... + 1651701.

It is an arithmetic number, because the mean of its divisors is an integer number (912912).

Almost surely, 271022240 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 71022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131459328).

71022240 is an abundant number, since it is smaller than the sum of its proper divisors (191896416).

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

71022240 is a wasteful number, since it uses less digits than its factorization.

71022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 71022240 is about 8427.4693710508. The cubic root of 71022240 is about 414.1250060093.

Adding to 71022240 its reverse (4222017), we get a palindrome (75244257).

The spelling of 71022240 in words is "seventy-one million, twenty-two thousand, two hundred forty".