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136612 = 22721741
BaseRepresentation
bin100001010110100100
320221101201
4201112210
513332422
62532244
71106200
oct412644
9227351
10136612
1193703
1267084
134a248
1437b00
152a727
hex215a4

136612 has 36 divisors (see below), whose sum is σ = 301644. Its totient is φ = 53760.

The previous prime is 136607. The next prime is 136621. The reversal of 136612 is 216631.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 86436 = 224^2 + 294^2 .

It is an Ulam number.

136612 is a modest number, since divided by 612 gives 136 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 136612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3312 + ... + 3352.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2136612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150822).

136612 is an abundant number, since it is smaller than the sum of its proper divisors (165032).

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

136612 is a wasteful number, since it uses less digits than its factorization.

136612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 136612 is about 369.6106059084. The cubic root of 136612 is about 51.5026548416.

Adding to 136612 its sum of digits (19), we get a palindrome (136631).

It can be divided in two parts, 1366 and 12, that added together give a triangular number (1378 = T52).

The spelling of 136612 in words is "one hundred thirty-six thousand, six hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 41 49 68 82 98 119 164 196 238 287 476 574 697 833 1148 1394 1666 2009 2788 3332 4018 4879 8036 9758 19516 34153 68306 136612