Search a number
-
+
144756 = 22324021
BaseRepresentation
bin100011010101110100
321100120100
4203111310
514113011
63034100
71142013
oct432564
9240510
10144756
1199837
126b930
1350b71
143aa7a
152cd56
hex23574

144756 has 18 divisors (see below), whose sum is σ = 366002. Its totient is φ = 48240.

The previous prime is 144751. The next prime is 144757. The reversal of 144756 is 657441.

144756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 54756 = 300^2 + 234^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144751) by changing a digit.

144756 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 5 ways as a sum of consecutive naturals, for example, 1975 + ... + 2046.

2144756 is an apocalyptic number.

It is an amenable number.

144756 is an abundant number, since it is smaller than the sum of its proper divisors (221246).

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

144756 is a wasteful number, since it uses less digits than its factorization.

144756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4026 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 144756 is about 380.4681326997. The cubic root of 144756 is about 52.5063937791.

It can be divided in two parts, 144 and 756, that added together give a square (900 = 302).

The spelling of 144756 in words is "one hundred forty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 4021 8042 12063 16084 24126 36189 48252 72378 144756