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136385041 = 1343324229
BaseRepresentation
bin10000010000100…
…01001000010001
3100111122002002211
420020101020101
5234403310131
621311112121
73244153012
oct1010211021
9314562084
10136385041
116aa93111
1239812641
1322342b10
1414183009
15be905b1
hex8211211

136385041 has 8 divisors (see below), whose sum is σ = 147221480. Its totient is φ = 125597952.

The previous prime is 136385003. The next prime is 136385083. The reversal of 136385041 is 140583631.

It can be written as a sum of positive squares in 4 ways, for example, as 8242641 + 128142400 = 2871^2 + 11320^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 136385041 - 215 = 136352273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 136384994 and 136385012.

It is not an unprimeable number, because it can be changed into a prime (136385141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6486 + ... + 17743.

It is an arithmetic number, because the mean of its divisors is an integer number (18402685).

Almost surely, 2136385041 is an apocalyptic number.

It is an amenable number.

136385041 is a deficient number, since it is larger than the sum of its proper divisors (10836439).

136385041 is a wasteful number, since it uses less digits than its factorization.

136385041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24675.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 136385041 is about 11678.4006182354. The cubic root of 136385041 is about 514.7411788988.

The spelling of 136385041 in words is "one hundred thirty-six million, three hundred eighty-five thousand, forty-one".

Divisors: 1 13 433 5629 24229 314977 10491157 136385041