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241128 = 233217197
BaseRepresentation
bin111010110111101000
3110020202200
4322313220
530204003
65100200
72022666
oct726750
9406680
10241128
11155188
12b7660
13859a4
1463c36
154b6a3
hex3ade8

241128 has 48 divisors (see below), whose sum is σ = 694980. Its totient is φ = 75264.

The previous prime is 241127. The next prime is 241141. The reversal of 241128 is 821142.

241128 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 49284 = 438^2 + 222^2 .

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 nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 241128.

It is not an unprimeable number, because it can be changed into a prime (241127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126 + ... + 1322.

2241128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347490).

241128 is an abundant number, since it is smaller than the sum of its proper divisors (453852).

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

241128 is a wasteful number, since it uses less digits than its factorization.

241128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 241128 is about 491.0478591746. The cubic root of 241128 is about 62.2418579374.

It can be divided in two parts, 24 and 1128, that multiplied together give a palindrome (27072).

The spelling of 241128 in words is "two hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 197 204 306 394 408 591 612 788 1182 1224 1576 1773 2364 3349 3546 4728 6698 7092 10047 13396 14184 20094 26792 30141 40188 60282 80376 120564 241128