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136206 = 23272347
BaseRepresentation
bin100001010000001110
320220211200
4201100032
513324311
62530330
71105050
oct412016
9226750
10136206
1193374
12669a6
1349cc5
14378d0
152a556
hex2140e

136206 has 48 divisors (see below), whose sum is σ = 359424. Its totient is φ = 36432.

The previous prime is 136193. The next prime is 136207. The reversal of 136206 is 602631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136206.

It is not an unprimeable number, because it can be changed into a prime (136207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2875 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2136206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712).

136206 is an abundant number, since it is smaller than the sum of its proper divisors (223218).

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

136206 is a wasteful number, since it uses less digits than its factorization.

136206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136206 is about 369.0609705726. The cubic root of 136206 is about 51.4515836168.

Adding to 136206 its reverse (602631), we get a palindrome (738837).

The spelling of 136206 in words is "one hundred thirty-six thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 47 63 69 94 126 138 141 161 207 282 322 329 414 423 483 658 846 966 987 1081 1449 1974 2162 2898 2961 3243 5922 6486 7567 9729 15134 19458 22701 45402 68103 136206