Search a number
-
+
71089146 = 232191091907
BaseRepresentation
bin1000011110010…
…11101111111010
311221202200222100
410033023233322
5121144323041
611015404230
71522150662
oct417135772
9157680870
1071089146
1137145367
121b983676
13119604ab
1496271a2
1563936b6
hex43cbbfa

71089146 has 48 divisors (see below), whose sum is σ = 163706400. Its totient is φ = 22231584.

The previous prime is 71089141. The next prime is 71089171. The reversal of 71089146 is 64198017.

It is a self number, because there is not a number n which added to its sum of digits gives 71089146.

It is not an unprimeable number, because it can be changed into a prime (71089141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36325 + ... + 38231.

It is an arithmetic number, because the mean of its divisors is an integer number (3410550).

Almost surely, 271089146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71089146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81853200).

71089146 is an abundant number, since it is smaller than the sum of its proper divisors (92617254).

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

71089146 is a wasteful number, since it uses less digits than its factorization.

71089146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71089146 is about 8431.4379556515. The cubic root of 71089146 is about 414.2550063757.

The spelling of 71089146 in words is "seventy-one million, eighty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1907 1962 2071 3814 4142 5721 6213 11442 12426 17163 18639 34326 36233 37278 72466 108699 207863 217398 326097 415726 623589 652194 1247178 1870767 3741534 3949397 7898794 11848191 23696382 35544573 71089146