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118080 = 2632541
BaseRepresentation
bin11100110101000000
312222222100
4130311000
512234310
62310400
71001154
oct346500
9188870
10118080
1180796
1258400
1341991
1431064
1524ec0
hex1cd40

118080 has 84 divisors (see below), whose sum is σ = 416052. Its totient is φ = 30720.

The previous prime is 118061. The next prime is 118081. The reversal of 118080 is 80811.

Adding to 118080 its reverse (80811), we get a palindrome (198891).

It can be divided in two parts, 1 and 18080, that added together give a palindrome (18081).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 97344 = 144^2 + 312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 82 × 18 × 80.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118081) by changing a digit.

118080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2860 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (4953).

2118080 is an apocalyptic number.

118080 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 118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208026).

118080 is an abundant number, since it is smaller than the sum of its proper divisors (297972).

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

118080 is a wasteful number, since it uses less digits than its factorization.

118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 118080 is about 343.6277055186. The cubic root of 118080 is about 49.0597632590.

The spelling of 118080 in words is "one hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 64 72 80 82 90 96 120 123 144 160 164 180 192 205 240 246 288 320 328 360 369 410 480 492 576 615 656 720 738 820 960 984 1230 1312 1440 1476 1640 1845 1968 2460 2624 2880 2952 3280 3690 3936 4920 5904 6560 7380 7872 9840 11808 13120 14760 19680 23616 29520 39360 59040 118080