Search a number
-
+
241130000 = 245424113
BaseRepresentation
bin11100101111101…
…01101000010000
3121210201200011202
432113311220100
5443212130000
635532130332
75655366626
oct1627655020
9553650152
10241130000
111141255a1
12689069a8
133ac58297
142404b516
1516280dd5
hexe5f5a10

241130000 has 50 divisors (see below), whose sum is σ = 583824054. Its totient is φ = 96448000.

The previous prime is 241129981. The next prime is 241130003. The reversal of 241130000 is 31142.

It is a happy number.

241130000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 74926336 + 166203664 = 8656^2 + 12892^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (241130003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2057 + ... + 22056.

Almost surely, 2241130000 is an apocalyptic number.

241130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291912027).

241130000 is an abundant number, since it is smaller than the sum of its proper divisors (342694054).

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

241130000 is an equidigital number, since it uses as much as digits as its factorization.

241130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24141 (or 24120 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 241130000 is about 15528.3611498445. The cubic root of 241130000 is about 622.4203002214.

Adding to 241130000 its reverse (31142), we get a palindrome (241161142).

The spelling of 241130000 in words is "two hundred forty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 24113 48226 96452 120565 192904 241130 385808 482260 602825 964520 1205650 1929040 2411300 3014125 4822600 6028250 9645200 12056500 15070625 24113000 30141250 48226000 60282500 120565000 241130000