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116380 = 22511232
BaseRepresentation
bin11100011010011100
312220122101
4130122130
512211010
62254444
7663205
oct343234
9186571
10116380
117a490
1257424
1340c84
14305ac
152473a
hex1c69c

116380 has 36 divisors (see below), whose sum is σ = 278712. Its totient is φ = 40480.

The previous prime is 116371. The next prime is 116381. The reversal of 116380 is 83611.

116380 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5049 + ... + 5071.

It is an arithmetic number, because the mean of its divisors is an integer number (7742).

2116380 is an apocalyptic number.

116380 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 116380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139356).

116380 is an abundant number, since it is smaller than the sum of its proper divisors (162332).

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

116380 is a wasteful number, since it uses less digits than its factorization.

116380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 116380 is about 341.1451304064. The cubic root of 116380 is about 48.8231861511.

Adding to 116380 its reverse (83611), we get a palindrome (199991).

It can be divided in two parts, 116 and 380, that added together give a triangular number (496 = T31).

The spelling of 116380 in words is "one hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 529 1012 1058 1265 2116 2530 2645 5060 5290 5819 10580 11638 23276 29095 58190 116380