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116205 = 3561127
BaseRepresentation
bin11100010111101101
312220101220
4130113231
512204310
62253553
7662535
oct342755
9186356
10116205
117a341
12572b9
1340b7b
14304c5
1524670
hex1c5ed

116205 has 16 divisors (see below), whose sum is σ = 190464. Its totient is φ = 60480.

The previous prime is 116201. The next prime is 116239. The reversal of 116205 is 502611.

It is not a de Polignac number, because 116205 - 22 = 116201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852 + ... + 978.

It is an arithmetic number, because the mean of its divisors is an integer number (11904).

2116205 is an apocalyptic number.

116205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116205 is a deficient number, since it is larger than the sum of its proper divisors (74259).

116205 is a wasteful number, since it uses less digits than its factorization.

116205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 116205 is about 340.8885448354. Note that the first 3 decimals coincide. The cubic root of 116205 is about 48.7987021513.

Adding to 116205 its reverse (502611), we get a palindrome (618816).

It can be divided in two parts, 11 and 6205, that added together give a triangular number (6216 = T111).

The spelling of 116205 in words is "one hundred sixteen thousand, two hundred five".

Divisors: 1 3 5 15 61 127 183 305 381 635 915 1905 7747 23241 38735 116205