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116928 = 2632729
BaseRepresentation
bin11100100011000000
312221101200
4130203000
512220203
62301200
7664620
oct344300
9187350
10116928
117a939
1257800
13412b6
1430880
15249a3
hex1c8c0

116928 has 84 divisors (see below), whose sum is σ = 396240. Its totient is φ = 32256.

The previous prime is 116927. The next prime is 116929. The reversal of 116928 is 829611.

It is an interprime number because it is at equal distance from previous prime (116927) and next prime (116929).

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (864) is a multiple of the sum of its prime factors (54).

It is not an unprimeable number, because it can be changed into a prime (116923) 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, 4018 + ... + 4046.

116928 is a Friedman number, since it can be written as 1218*96, using all its digits and the basic arithmetic operations.

2116928 is an apocalyptic number.

116928 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 116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198120).

116928 is an abundant number, since it is smaller than the sum of its proper divisors (279312).

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

116928 is a wasteful number, since it uses less digits than its factorization.

116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 116928 is about 341.9473643706. The cubic root of 116928 is about 48.8996976407.

The spelling of 116928 in words is "one hundred sixteen thousand, nine hundred twenty-eight".