Search a number
-
+
136216206 = 232717193347
BaseRepresentation
bin10000001111001…
…11111010001110
3100111022111111200
420013213322032
5234332404311
621303330330
73242550540
oct1007477216
9314274450
10136216206
116a988285
12397509a6
13222b4009
141413b690
15be5a556
hex81e7e8e

136216206 has 96 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 34691328.

The previous prime is 136216193. The next prime is 136216211. The reversal of 136216206 is 602612631.

136216206 is a `hidden beast` number, since 1 + 36 + 2 + 1 + 620 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 136216206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39025 + ... + 42371.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2136216206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136216206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

136216206 is an abundant number, since it is smaller than the sum of its proper divisors (239831154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136216206 is a wasteful number, since it uses less digits than its factorization.

136216206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136216206 is about 11671.1698642424. The cubic root of 136216206 is about 514.5286868438.

Adding to 136216206 its reverse (602612631), we get a palindrome (738828837).

The spelling of 136216206 in words is "one hundred thirty-six million, two hundred sixteen thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 3347 4522 5814 6694 6783 10041 13566 20082 20349 23429 30123 40698 46858 56899 60246 63593 70287 113798 127186 140574 170697 190779 210861 341394 381558 398293 421722 445151 512091 572337 796586 890302 1024182 1081081 1144674 1194879 1335453 2162162 2389758 2670906 3243243 3584637 4006359 6486486 7169274 7567567 8012718 9729729 15135134 19459458 22702701 45405402 68108103 136216206