Search a number
-
+
118140 = 223511179
BaseRepresentation
bin11100110101111100
320000001120
4130311330
512240030
62310540
71001301
oct346574
9200046
10118140
1180840
1258450
1341a09
14310a8
1525010
hex1cd7c

118140 has 48 divisors (see below), whose sum is σ = 362880. Its totient is φ = 28480.

The previous prime is 118127. The next prime is 118147. The reversal of 118140 is 41811.

118140 = 1182 + 1192 + ... + 1252.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118147) by changing a digit.

118140 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2118140 is an apocalyptic number.

118140 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 118140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

118140 is an abundant number, since it is smaller than the sum of its proper divisors (244740).

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

118140 is a wasteful number, since it uses less digits than its factorization.

118140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 118140 is about 343.7149982180. The cubic root of 118140 is about 49.0680714324.

Adding to 118140 its reverse (41811), we get a palindrome (159951).

It can be divided in two parts, 1181 and 40, that added together give a palindrome (1221).

The spelling of 118140 in words is "one hundred eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 179 220 330 358 537 660 716 895 1074 1790 1969 2148 2685 3580 3938 5370 5907 7876 9845 10740 11814 19690 23628 29535 39380 59070 118140