Search a number
-
+
133164065 = 51931103439
BaseRepresentation
bin1111110111111…
…10110000100001
3100021120102202102
413323332300201
5233042222230
621114100145
73204606266
oct773766041
9307512672
10133164065
1169193151
123871a655
1321785a08
141398526d
15ba56045
hex7efec21

133164065 has 32 divisors (see below), whose sum is σ = 175718400. Its totient is φ = 96500160.

The previous prime is 133164029. The next prime is 133164067. The reversal of 133164065 is 560461331.

It is a happy number.

It is not a de Polignac number, because 133164065 - 214 = 133147681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133164067) 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 31 ways as a sum of consecutive naturals, for example, 303116 + ... + 303554.

It is an arithmetic number, because the mean of its divisors is an integer number (5491200).

Almost surely, 2133164065 is an apocalyptic number.

It is an amenable number.

133164065 is a deficient number, since it is larger than the sum of its proper divisors (42554335).

133164065 is a wasteful number, since it uses less digits than its factorization.

133164065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 133164065 is about 11539.6735222449. The cubic root of 133164065 is about 510.6566768466.

The spelling of 133164065 in words is "one hundred thirty-three million, one hundred sixty-four thousand, sixty-five".

Divisors: 1 5 19 31 95 103 155 439 515 589 1957 2195 2945 3193 8341 9785 13609 15965 41705 45217 60667 68045 226085 258571 303335 859123 1292855 1401727 4295615 7008635 26632813 133164065