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135032382 = 232103173421
BaseRepresentation
bin10000000110001…
…10111000111110
3100102002100121100
420003012320332
5234032014012
621222113530
73226520262
oct1003067076
9312070540
10135032382
116a249911
123927b8a6
1321c8b224
1413d100a2
15bcc48dc
hex80c6e3e

135032382 has 48 divisors (see below), whose sum is σ = 297823968. Its totient is φ = 44210880.

The previous prime is 135032357. The next prime is 135032383. The reversal of 135032382 is 283230531.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135032383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320532 + ... + 320952.

It is an arithmetic number, because the mean of its divisors is an integer number (6204666).

Almost surely, 2135032382 is an apocalyptic number.

135032382 is an abundant number, since it is smaller than the sum of its proper divisors (162791586).

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

135032382 is a wasteful number, since it uses less digits than its factorization.

135032382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135032382 is about 11620.3434544767. The cubic root of 135032382 is about 513.0337973470.

The spelling of 135032382 in words is "one hundred thirty-five million, thirty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 103 173 206 309 346 421 519 618 842 927 1038 1263 1557 1854 2526 3114 3789 7578 17819 35638 43363 53457 72833 86726 106914 130089 145666 160371 218499 260178 320742 390267 436998 655497 780534 1310994 7501799 15003598 22505397 45010794 67516191 135032382