Search a number
-
+
36114 = 2313463
BaseRepresentation
bin1000110100010010
31211112120
420310102
52123424
6435110
7210201
oct106422
954476
1036114
1125151
1218a96
1313590
14d238
15aa79
hex8d12

36114 has 16 divisors (see below), whose sum is σ = 77952. Its totient is φ = 11088.

The previous prime is 36109. The next prime is 36131. The reversal of 36114 is 41163.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36093 and 36102.

It is a congruent number.

It is an unprimeable number.

36114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (4872).

236114 is an apocalyptic number.

36114 is an abundant number, since it is smaller than the sum of its proper divisors (41838).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38976).

36114 is a wasteful number, since it uses less digits than its factorization.

36114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481.

The product of its digits is 72, while the sum is 15.

The square root of 36114 is about 190.0368385340. The cubic root of 36114 is about 33.0540894401.

Adding to 36114 its reverse (41163), we get a palindrome (77277).

The spelling of 36114 in words is "thirty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 463 926 1389 2778 6019 12038 18057 36114