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116500 = 2253233
BaseRepresentation
bin11100011100010100
312220210211
4130130110
512212000
62255204
7663436
oct343424
9186724
10116500
117a58a
1257504
1341047
1430656
15247ba
hex1c714

116500 has 24 divisors (see below), whose sum is σ = 255528. Its totient is φ = 46400.

The previous prime is 116491. The next prime is 116507. The reversal of 116500 is 5611.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 101124 = 124^2 + 318^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116507) by changing a digit.

116500 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, 384 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2116500 is an apocalyptic number.

116500 is a gapful number since it is divisible by the number (10) 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 116500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764).

116500 is an abundant number, since it is smaller than the sum of its proper divisors (139028).

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

116500 is a wasteful number, since it uses less digits than its factorization.

116500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 116500 is about 341.3209633175. The cubic root of 116500 is about 48.8399609974.

Subtracting from 116500 its reverse (5611), we obtain a square (110889 = 3332).

It can be divided in two parts, 116 and 500, that added together give a palindrome (616).

The spelling of 116500 in words is "one hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 233 250 466 500 932 1165 2330 4660 5825 11650 23300 29125 58250 116500