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118020 = 22357281
BaseRepresentation
bin11100110100000100
312222220010
4130310010
512234040
62310220
71001040
oct346404
9188803
10118020
1180741
1258370
1341946
1431020
1524e80
hex1cd04

118020 has 48 divisors (see below), whose sum is σ = 379008. Its totient is φ = 26880.

The previous prime is 117991. The next prime is 118033. The reversal of 118020 is 20811.

118020 = T64 + T65 + ... + T98.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 117987 and 118005.

It is an unprimeable number.

118020 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 15 ways as a sum of consecutive naturals, for example, 280 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (7896).

2118020 is an apocalyptic number.

118020 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 118020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189504).

118020 is an abundant number, since it is smaller than the sum of its proper divisors (260988).

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

118020 is a wasteful number, since it uses less digits than its factorization.

118020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 118020 is about 343.5403906384. The cubic root of 118020 is about 49.0514522706.

Adding to 118020 its reverse (20811), we get a palindrome (138831).

The spelling of 118020 in words is "one hundred eighteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 281 420 562 843 1124 1405 1686 1967 2810 3372 3934 4215 5620 5901 7868 8430 9835 11802 16860 19670 23604 29505 39340 59010 118020