Search a number
-
+
136367 = 7211223
BaseRepresentation
bin100001010010101111
320221001122
4201102233
513330432
62531155
71105400
oct412257
9227048
10136367
1193500
1266abb
134a0ba
14379a7
152a612
hex214af

136367 has 18 divisors (see below), whose sum is σ = 181944. Its totient is φ = 101640.

The previous prime is 136361. The next prime is 136373. The reversal of 136367 is 763631.

136367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136361) and next prime (136373).

It is not a de Polignac number, because 136367 - 24 = 136351 is a prime.

It is an Ulam number.

It is a plaindrome in base 12.

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 136367.

It is not an unprimeable number, because it can be changed into a prime (136361) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5918 + ... + 5940.

It is an arithmetic number, because the mean of its divisors is an integer number (10108).

2136367 is an apocalyptic number.

136367 is a deficient number, since it is larger than the sum of its proper divisors (45577).

136367 is a wasteful number, since it uses less digits than its factorization.

136367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its digits is 2268, while the sum is 26.

The square root of 136367 is about 369.2790272951. The cubic root of 136367 is about 51.4718481260.

Adding to 136367 its reverse (763631), we get a palindrome (899998).

Subtracting 136367 from its reverse (763631), we obtain a square (627264 = 7922).

The spelling of 136367 in words is "one hundred thirty-six thousand, three hundred sixty-seven".

Divisors: 1 7 11 23 49 77 121 161 253 539 847 1127 1771 2783 5929 12397 19481 136367