Search a number
-
+
144612 = 223313103
BaseRepresentation
bin100011010011100100
321100101000
4203103210
514111422
63033300
71141416
oct432344
9240330
10144612
1199716
126b830
1350a90
143a9b6
152ccac
hex234e4

144612 has 48 divisors (see below), whose sum is σ = 407680. Its totient is φ = 44064.

The previous prime is 144611. The next prime is 144629. The reversal of 144612 is 216441.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1353 + ... + 1455.

2144612 is an apocalyptic number.

144612 is a gapful number since it is divisible by the number (12) 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 144612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203840).

144612 is an abundant number, since it is smaller than the sum of its proper divisors (263068).

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

144612 is a wasteful number, since it uses less digits than its factorization.

144612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 144612 is about 380.2788450598. The cubic root of 144612 is about 52.4889772777.

The spelling of 144612 in words is "one hundred forty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 103 108 117 156 206 234 309 351 412 468 618 702 927 1236 1339 1404 1854 2678 2781 3708 4017 5356 5562 8034 11124 12051 16068 24102 36153 48204 72306 144612