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241005540 = 223543109857
BaseRepresentation
bin11100101110101…
…11001111100100
3121210111100110010
432113113033210
5443144134130
635525330220
75654341026
oct1627271744
9553440403
10241005540
11114050036
1268866970
133ac13739
1424018016
15162590b0
hexe5d73e4

241005540 has 96 divisors (see below), whose sum is σ = 697656960. Its totient is φ = 62125056.

The previous prime is 241005511. The next prime is 241005553. The reversal of 241005540 is 45500142.

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 31 ways as a sum of consecutive naturals, for example, 280792 + ... + 281648.

It is an arithmetic number, because the mean of its divisors is an integer number (7267260).

Almost surely, 2241005540 is an apocalyptic number.

241005540 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 241005540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348828480).

241005540 is an abundant number, since it is smaller than the sum of its proper divisors (456651420).

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

241005540 is a wasteful number, since it uses less digits than its factorization.

241005540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 241005540 is about 15524.3531266201. The cubic root of 241005540 is about 622.3131937331.

Adding to 241005540 its reverse (45500142), we get a palindrome (286505682).

The spelling of 241005540 in words is "two hundred forty-one million, five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 109 129 172 215 218 258 327 430 436 516 545 645 654 857 860 1090 1290 1308 1635 1714 2180 2571 2580 3270 3428 4285 4687 5142 6540 8570 9374 10284 12855 14061 17140 18748 23435 25710 28122 36851 46870 51420 56244 70305 73702 93413 93740 110553 140610 147404 184255 186826 221106 280239 281220 368510 373652 442212 467065 552765 560478 737020 934130 1105530 1120956 1401195 1868260 2211060 2802390 4016759 5604780 8033518 12050277 16067036 20083795 24100554 40167590 48201108 60251385 80335180 120502770 241005540