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241105290 = 2353128363
BaseRepresentation
bin11100101111011…
…11100110001010
3121210200102021120
432113233212022
5443210332130
635531420110
75655234606
oct1627574612
9553612246
10241105290
11114108a78
12688b4636
133ac49c6a
1424042506
1516278910
hexe5ef98a

241105290 has 48 divisors (see below), whose sum is σ = 597992544. Its totient is φ = 62213280.

The previous prime is 241105247. The next prime is 241105327. The reversal of 241105290 is 92501142.

241105290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 241105290.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24649 + ... + 33011.

It is an arithmetic number, because the mean of its divisors is an integer number (12458178).

Almost surely, 2241105290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241105290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298996272).

241105290 is an abundant number, since it is smaller than the sum of its proper divisors (356887254).

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

241105290 is a wasteful number, since it uses less digits than its factorization.

241105290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 241105290 is about 15527.5654885111. The cubic root of 241105290 is about 622.3990384802.

It can be divided in two parts, 2411052 and 90, that added together give a palindrome (2411142).

The spelling of 241105290 in words is "two hundred forty-one million, one hundred five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 961 1922 2883 4805 5766 8363 9610 14415 16726 25089 28830 41815 50178 83630 125445 250890 259253 518506 777759 1296265 1555518 2592530 3888795 7777590 8036843 16073686 24110529 40184215 48221058 80368430 120552645 241105290