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135783513 = 3323415333
BaseRepresentation
bin10000001011111…
…10010001011001
3100110111111222000
420011332101121
5234230033023
621250151213
73236066205
oct1005762131
9313444860
10135783513
116a712188
1239582509
1322192098
1414067b05
15bdc2243
hex817e459

135783513 has 32 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 84458880.

The previous prime is 135783511. The next prime is 135783523. The reversal of 135783513 is 315387531.

It is a happy number.

135783513 is a `hidden beast` number, since 13 + 57 + 83 + 513 = 666.

It is not a de Polignac number, because 135783513 - 21 = 135783511 is a prime.

Its product of digits (37800) is a multiple of the sum of its prime divisors (5400).

It is not an unprimeable number, because it can be changed into a prime (135783511) 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 31 ways as a sum of consecutive naturals, for example, 22795 + ... + 28127.

It is an arithmetic number, because the mean of its divisors is an integer number (6720840).

Almost surely, 2135783513 is an apocalyptic number.

It is an amenable number.

135783513 is a deficient number, since it is larger than the sum of its proper divisors (79283367).

135783513 is a wasteful number, since it uses less digits than its factorization.

135783513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5400 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 135783513 is about 11652.6182894661. The cubic root of 135783513 is about 513.9833060433.

The spelling of 135783513 in words is "one hundred thirty-five million, seven hundred eighty-three thousand, five hundred thirteen".

Divisors: 1 3 9 23 27 41 69 123 207 369 621 943 1107 2829 5333 8487 15999 25461 47997 122659 143991 218653 367977 655959 1103931 1967877 3311793 5029019 5903631 15087057 45261171 135783513