Search a number
-
+
71133712 = 24131720117
BaseRepresentation
bin1000011110101…
…10101000010000
311221211222002221
410033112220100
5121202234322
611020350424
71522424626
oct417265020
9157758087
1071133712
11371758a1
121b9a5414
1311977870
149639516
1563a19c7
hex43d6a10

71133712 has 40 divisors (see below), whose sum is σ = 157161816. Its totient is φ = 30898176.

The previous prime is 71133709. The next prime is 71133719. The reversal of 71133712 is 21733117.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 68624656 = 1584^2 + 8284^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71133719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6523 + ... + 13594.

Almost surely, 271133712 is an apocalyptic number.

It is an amenable number.

71133712 is an abundant number, since it is smaller than the sum of its proper divisors (86028104).

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

71133712 is a wasteful number, since it uses less digits than its factorization.

71133712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20155 (or 20149 counting only the distinct ones).

The product of its digits is 882, while the sum is 25.

The square root of 71133712 is about 8434.0803885190. The cubic root of 71133712 is about 414.3415541968.

Adding to 71133712 its reverse (21733117), we get a palindrome (92866829).

The spelling of 71133712 in words is "seventy-one million, one hundred thirty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 20117 40234 80468 160936 261521 321872 341989 523042 683978 1046084 1367956 2092168 2735912 4184336 4445857 5471824 8891714 17783428 35566856 71133712