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133065336 = 23341271499
BaseRepresentation
bin1111110111001…
…10101001111000
3100021101102022210
413323212221320
5233031042321
621112015120
73204015405
oct773465170
9307342283
10133065336
1169125a58
12386914a0
132174cab1
141395b2ac
15ba36b76
hex7ee6a78

133065336 has 64 divisors (see below), whose sum is σ = 342720000. Its totient is φ = 43027200.

The previous prime is 133065329. The next prime is 133065337. The reversal of 133065336 is 633560331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133065337) 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 15 ways as a sum of consecutive naturals, for example, 266415 + ... + 266913.

It is an arithmetic number, because the mean of its divisors is an integer number (5355000).

Almost surely, 2133065336 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 133065336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360000).

133065336 is an abundant number, since it is smaller than the sum of its proper divisors (209654664).

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

133065336 is a wasteful number, since it uses less digits than its factorization.

133065336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 30.

The square root of 133065336 is about 11535.3949217181. The cubic root of 133065336 is about 510.5304438723.

It can be divided in two parts, 1330 and 65336, that added together give a palindrome (66666).

The spelling of 133065336 in words is "one hundred thirty-three million, sixty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 499 542 813 984 998 1084 1497 1626 1996 2168 2994 3252 3992 5988 6504 11111 11976 20459 22222 33333 40918 44444 61377 66666 81836 88888 122754 133332 135229 163672 245508 266664 270458 405687 491016 540916 811374 1081832 1622748 3245496 5544389 11088778 16633167 22177556 33266334 44355112 66532668 133065336