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241728 = 2631259
BaseRepresentation
bin111011000001000000
3110021120220
4323001000
530213403
65103040
72024514
oct730100
9407526
10241728
11155683
12b7a80
1386046
1464144
154b953
hex3b040

241728 has 28 divisors (see below), whose sum is σ = 640080. Its totient is φ = 80512.

The previous prime is 241727. The next prime is 241739. The reversal of 241728 is 827142.

241728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 241698 and 241707.

It is not an unprimeable number, because it can be changed into a prime (241727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 438 + ... + 821.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2241728 is an apocalyptic number.

It is an amenable number.

241728 is an abundant number, since it is smaller than the sum of its proper divisors (398352).

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

241728 is a wasteful number, since it uses less digits than its factorization.

241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 241728 is about 491.6584180099. The cubic root of 241728 is about 62.2934407512.

It can be divided in two parts, 2417 and 28, that multiplied together give a palindrome (67676).

The spelling of 241728 in words is "two hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1259 2518 3777 5036 7554 10072 15108 20144 30216 40288 60432 80576 120864 241728