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136340217 = 32131165301
BaseRepresentation
bin10000010000001…
…10001011111001
3100111112210121200
420020012023321
5234400341332
621310124413
73243605226
oct1010061371
9314483550
10136340217
116aa62472
12397b0709
13223285b0
141417094d
15be8217c
hex82062f9

136340217 has 12 divisors (see below), whose sum is σ = 212084964. Its totient is φ = 83901600.

The previous prime is 136340189. The next prime is 136340233. The reversal of 136340217 is 712043631.

136340217 is a `hidden beast` number, since 1 + 3 + 634 + 0 + 21 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 125686521 = 3264^2 + 11211^2 .

It is not a de Polignac number, because 136340217 - 212 = 136336121 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (136340287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582534 + ... + 582767.

It is an arithmetic number, because the mean of its divisors is an integer number (17673747).

Almost surely, 2136340217 is an apocalyptic number.

It is an amenable number.

136340217 is a deficient number, since it is larger than the sum of its proper divisors (75744747).

136340217 is a wasteful number, since it uses less digits than its factorization.

136340217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165320 (or 1165317 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 136340217 is about 11676.4813621228. The cubic root of 136340217 is about 514.6847814949.

Adding to 136340217 its reverse (712043631), we get a palindrome (848383848).

The spelling of 136340217 in words is "one hundred thirty-six million, three hundred forty thousand, two hundred seventeen".

Divisors: 1 3 9 13 39 117 1165301 3495903 10487709 15148913 45446739 136340217