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118816 = 254779
BaseRepresentation
bin11101000000100000
320000222121
4131000200
512300231
62314024
71003255
oct350040
9200877
10118816
11812a5
1258914
1342109
143142c
1525311
hex1d020

118816 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 57408.

The previous prime is 118801. The next prime is 118819. The reversal of 118816 is 618811.

It is a happy number.

Its product of digits (384) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1465 + ... + 1543.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2118816 is an apocalyptic number.

118816 is a gapful number since it is divisible by the number (16) 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 118816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

118816 is an abundant number, since it is smaller than the sum of its proper divisors (123104).

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

118816 is an equidigital number, since it uses as much as digits as its factorization.

118816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 384, while the sum is 25.

The square root of 118816 is about 344.6969683650. The cubic root of 118816 is about 49.1614830630.

The spelling of 118816 in words is "one hundred eighteen thousand, eight hundred sixteen".