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144168 = 2336007
BaseRepresentation
bin100011001100101000
321022202120
4203030220
514103133
63031240
71140213
oct431450
9238676
10144168
1199352
126b520
135080b
143a77a
152cab3
hex23328

144168 has 16 divisors (see below), whose sum is σ = 360480. Its totient is φ = 48048.

The previous prime is 144167. The next prime is 144169. The reversal of 144168 is 861441.

It is an interprime number because it is at equal distance from previous prime (144167) and next prime (144169).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 6007 = 144168 / (1 + 4 + 4 + 1 + 6 + 8).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144168.

It is not an unprimeable number, because it can be changed into a prime (144161) by changing a digit.

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, 2980 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (22530).

2144168 is an apocalyptic number.

It is an amenable number.

144168 is an abundant number, since it is smaller than the sum of its proper divisors (216312).

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

144168 is a wasteful number, since it uses less digits than its factorization.

144168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6012 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 144168 is about 379.6946141309. The cubic root of 144168 is about 52.4352035066.

The spelling of 144168 in words is "one hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 6007 12014 18021 24028 36042 48056 72084 144168