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118944 = 2532759
BaseRepresentation
bin11101000010100000
320001011100
4131002200
512301234
62314400
71003530
oct350240
9201140
10118944
1181401
1258a00
13421a7
14314c0
1525399
hex1d0a0

118944 has 72 divisors (see below), whose sum is σ = 393120. Its totient is φ = 33408.

The previous prime is 118931. The next prime is 118967. The reversal of 118944 is 449811.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

118944 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 11 ways as a sum of consecutive naturals, for example, 1987 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (5460).

2118944 is an apocalyptic number.

118944 is a gapful number since it is divisible by the number (14) 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 118944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

118944 is an abundant number, since it is smaller than the sum of its proper divisors (274176).

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

118944 is a wasteful number, since it uses less digits than its factorization.

118944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 118944 is about 344.8825887168. The cubic root of 118944 is about 49.1791305501.

The spelling of 118944 in words is "one hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 59 63 72 84 96 112 118 126 144 168 177 224 236 252 288 336 354 413 472 504 531 672 708 826 944 1008 1062 1239 1416 1652 1888 2016 2124 2478 2832 3304 3717 4248 4956 5664 6608 7434 8496 9912 13216 14868 16992 19824 29736 39648 59472 118944