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144060 = 223574
BaseRepresentation
bin100011001010111100
321022121120
4203022330
514102220
63030540
71140000
oct431274
9238546
10144060
1199264
126b450
1350757
143a700
152ca40
hex232bc

144060 has 60 divisors (see below), whose sum is σ = 470568. Its totient is φ = 32928.

The previous prime is 144037. The next prime is 144061. The reversal of 144060 is 60441.

144060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144060.

It is not an unprimeable number, because it can be changed into a prime (144061) by changing a digit.

144060 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20577 + ... + 20583.

2144060 is an apocalyptic number.

144060 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 144060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235284).

144060 is an abundant number, since it is smaller than the sum of its proper divisors (326508).

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

144060 is an equidigital number, since it uses as much as digits as its factorization.

144060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 144060 is about 379.5523679283. The cubic root of 144060 is about 52.4221067105.

Multiplying 144060 by its sum of digits (15), we get a square (2160900 = 14702).

144060 divided by its sum of digits (15) gives a square (9604 = 982).

The spelling of 144060 in words is "one hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2401 2940 3430 4116 4802 5145 6860 7203 9604 10290 12005 14406 20580 24010 28812 36015 48020 72030 144060