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133540506 = 23211739239
BaseRepresentation
bin1111111010110…
…10101010011010
3100022021120010200
413331122222122
5233141244011
621130123030
73211034631
oct775325232
9308246120
10133540506
116941aa60
1238880476
1321888168
1413a42518
15bacc856
hex7f5aa9a

133540506 has 48 divisors (see below), whose sum is σ = 319999680. Its totient is φ = 39908160.

The previous prime is 133540501. The next prime is 133540513. The reversal of 133540506 is 605045331.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133540506.

It is not an unprimeable number, because it can be changed into a prime (133540501) 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, 9835 + ... + 19073.

It is an arithmetic number, because the mean of its divisors is an integer number (6666660).

Almost surely, 2133540506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133540506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159999840).

133540506 is an abundant number, since it is smaller than the sum of its proper divisors (186459174).

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

133540506 is a wasteful number, since it uses less digits than its factorization.

133540506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9331 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 133540506 is about 11555.9727414009. The cubic root of 133540506 is about 511.1374152849.

Adding to 133540506 its reverse (605045331), we get a palindrome (738585837).

The spelling of 133540506 in words is "one hundred thirty-three million, five hundred forty thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 9239 14454 18478 27717 55434 83151 101629 166302 203258 304887 609774 674447 914661 1348894 1829322 2023341 4046682 6070023 7418917 12140046 14837834 22256751 44513502 66770253 133540506