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241056 = 253531
BaseRepresentation
bin111010110110100000
3110020200000
4322312200
530203211
65100000
72022534
oct726640
9406600
10241056
11155122
12b7600
138594a
1463bc4
154b656
hex3ada0

241056 has 72 divisors (see below), whose sum is σ = 733824. Its totient is φ = 77760.

The previous prime is 241051. The next prime is 241061. The reversal of 241056 is 650142.

It is a happy number.

241056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241051) and next prime (241061).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 6 and base 12.

It is not an unprimeable number, because it can be changed into a prime (241051) by changing a digit.

241056 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 11 ways as a sum of consecutive naturals, for example, 7761 + ... + 7791.

It is an arithmetic number, because the mean of its divisors is an integer number (10192).

2241056 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 241056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

241056 is an abundant number, since it is smaller than the sum of its proper divisors (492768).

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

241056 is an equidigital number, since it uses as much as digits as its factorization.

241056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 241056 is about 490.9745410915. The cubic root of 241056 is about 62.2356622517.

Adding to 241056 its reverse (650142), we get a palindrome (891198).

The spelling of 241056 in words is "two hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2976 3348 3888 4464 5022 6696 7533 7776 8928 10044 13392 15066 20088 26784 30132 40176 60264 80352 120528 241056