Search a number
-
+
118144 = 271371
BaseRepresentation
bin11100110110000000
320000001201
4130312000
512240034
62310544
71001305
oct346600
9200051
10118144
1180844
1258454
1341a10
14310ac
1525014
hex1cd80

118144 has 32 divisors (see below), whose sum is σ = 257040. Its totient is φ = 53760.

The previous prime is 118127. The next prime is 118147. The reversal of 118144 is 441811.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

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

118144 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 3 ways as a sum of consecutive naturals, for example, 1629 + ... + 1699.

2118144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).

118144 is an abundant number, since it is smaller than the sum of its proper divisors (138896).

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

118144 is an equidigital number, since it uses as much as digits as its factorization.

118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 118144 is about 343.7208169431. The cubic root of 118144 is about 49.0686252106.

Adding to 118144 its reverse (441811), we get a palindrome (559955).

It can be divided in two parts, 1181 and 44, that added together give a triangular number (1225 = T49).

The spelling of 118144 in words is "one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 284 416 568 832 923 1136 1664 1846 2272 3692 4544 7384 9088 14768 29536 59072 118144