Search a number
-
+
144585 = 355717
BaseRepresentation
bin100011010011001001
321100100000
4203103021
514111320
63033213
71141350
oct432311
9240300
10144585
11996a1
126b809
1350a6c
143a997
152cc90
hex234c9

144585 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 62208.

The previous prime is 144583. The next prime is 144589. The reversal of 144585 is 585441.

It is not a de Polignac number, because 144585 - 21 = 144583 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

Its product of digits (3200) is a multiple of the sum of its prime divisors (32).

It is a Curzon number.

144585 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8497 + ... + 8513.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2144585 is an apocalyptic number.

144585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144585 is an abundant number, since it is smaller than the sum of its proper divisors (169911).

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

144585 is an equidigital number, since it uses as much as digits as its factorization.

144585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 32 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 144585 is about 380.2433431370. The cubic root of 144585 is about 52.4857103967.

It can be divided in two parts, 144 and 585, that added together give a 6-th power (729 = 36).

The spelling of 144585 in words is "one hundred forty-four thousand, five hundred eighty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 243 255 315 357 405 459 567 595 765 945 1071 1215 1377 1701 1785 2295 2835 3213 4131 5355 6885 8505 9639 16065 20655 28917 48195 144585