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116208 = 2433269
BaseRepresentation
bin11100010111110000
312220102000
4130113300
512204313
62254000
7662541
oct342760
9186360
10116208
117a344
1257300
1340b81
14304c8
1524673
hex1c5f0

116208 has 40 divisors (see below), whose sum is σ = 334800. Its totient is φ = 38592.

The previous prime is 116201. The next prime is 116239. The reversal of 116208 is 802611.

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

It is a congruent number.

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

116208 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, 298 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2116208 is an apocalyptic number.

116208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

116208 is an abundant number, since it is smaller than the sum of its proper divisors (218592).

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

116208 is a wasteful number, since it uses less digits than its factorization.

116208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116208 is about 340.8929450722. The cubic root of 116208 is about 48.7991220840.

Adding to 116208 its reverse (802611), we get a palindrome (918819).

It can be divided in two parts, 11620 and 8, that added together give a triangular number (11628 = T152).

The spelling of 116208 in words is "one hundred sixteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 269 432 538 807 1076 1614 2152 2421 3228 4304 4842 6456 7263 9684 12912 14526 19368 29052 38736 58104 116208