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135044073 = 32173892269
BaseRepresentation
bin10000000110010…
…01101111101001
3100102002221122100
420003021233221
5234032402243
621222244013
73226566333
oct1003115751
9312087570
10135044073
116a25767a
1239286609
1321c93648
1413d14453
15bcc80d3
hex80c9be9

135044073 has 24 divisors (see below), whose sum is σ = 207160200. Its totient is φ = 84478464.

The previous prime is 135044023. The next prime is 135044083. The reversal of 135044073 is 370440531.

It can be written as a sum of positive squares in 4 ways, for example, as 1710864 + 133333209 = 1308^2 + 11547^2 .

It is not a de Polignac number, because 135044073 - 28 = 135043817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135044003) 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, 58383 + ... + 60651.

It is an arithmetic number, because the mean of its divisors is an integer number (8631675).

Almost surely, 2135044073 is an apocalyptic number.

It is an amenable number.

135044073 is a deficient number, since it is larger than the sum of its proper divisors (72116127).

135044073 is a wasteful number, since it uses less digits than its factorization.

135044073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135044073 is about 11620.8464837980. The cubic root of 135044073 is about 513.0486029438.

The spelling of 135044073 in words is "one hundred thirty-five million, forty-four thousand, seventy-three".

Divisors: 1 3 9 17 51 153 389 1167 2269 3501 6613 6807 19839 20421 38573 59517 115719 347157 882641 2647923 7943769 15004897 45014691 135044073