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135686585 = 5375691289
BaseRepresentation
bin10000001011001…
…10100110111001
3100110022121000002
420011212212321
5234213432320
621244122345
73235213466
oct1005464671
9313277002
10135686585
116a656381
12395363b5
1322159c28
141404066d
15bda3675
hex81669b9

135686585 has 16 divisors (see below), whose sum is σ = 167648400. Its totient is φ = 105348096.

The previous prime is 135686567. The next prime is 135686611. The reversal of 135686585 is 585686531.

It can be written as a sum of positive squares in 8 ways, for example, as 2676496 + 133010089 = 1636^2 + 11533^2 .

It is a cyclic number.

It is not a de Polignac number, because 135686585 - 214 = 135670201 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104621 + ... + 105909.

It is an arithmetic number, because the mean of its divisors is an integer number (10478025).

Almost surely, 2135686585 is an apocalyptic number.

It is an amenable number.

135686585 is a deficient number, since it is larger than the sum of its proper divisors (31961815).

135686585 is a wasteful number, since it uses less digits than its factorization.

135686585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900.

The product of its digits is 864000, while the sum is 47.

The square root of 135686585 is about 11648.4584817048. The cubic root of 135686585 is about 513.8609759413.

The spelling of 135686585 in words is "one hundred thirty-five million, six hundred eighty-six thousand, five hundred eighty-five".

Divisors: 1 5 37 185 569 1289 2845 6445 21053 47693 105265 238465 733441 3667205 27137317 135686585