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116000 = 255329
BaseRepresentation
bin11100010100100000
312220010022
4130110200
512203000
62253012
7662123
oct342440
9186108
10116000
117a175
1257168
1340a51
14303ba
1524585
hex1c520

116000 has 48 divisors (see below), whose sum is σ = 294840. Its totient is φ = 44800.

The previous prime is 115987. The next prime is 116009. The reversal of 116000 is 611.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 80656 = 188^2 + 284^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (116009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3986 + ... + 4014.

2116000 is an apocalyptic number.

116000 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 116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147420).

116000 is an abundant number, since it is smaller than the sum of its proper divisors (178840).

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

116000 is an equidigital number, since it uses as much as digits as its factorization.

116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 116000 is about 340.5877273185. The cubic root of 116000 is about 48.7699896107.

Adding to 116000 its reverse (611), we get a palindrome (116611).

The spelling of 116000 in words is "one hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000