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241000540 = 225112531879
BaseRepresentation
bin11100101110101…
…10000001011100
3121210111002120221
432113112001130
5443144004130
635525251124
75654320324
oct1627260134
9553432527
10241000540
11114047300
1268863aa4
133ac11391
1424016284
151625787a
hexe5d605c

241000540 has 72 divisors (see below), whose sum is σ = 567090720. Its totient is φ = 85937280.

The previous prime is 241000531. The next prime is 241000547. The reversal of 241000540 is 45000142.

241000540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241000547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127321 + ... + 129199.

It is an arithmetic number, because the mean of its divisors is an integer number (7876260).

Almost surely, 2241000540 is an apocalyptic number.

241000540 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 241000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283545360).

241000540 is an abundant number, since it is smaller than the sum of its proper divisors (326090180).

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

241000540 is a wasteful number, since it uses less digits than its factorization.

241000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 241000540 is about 15524.1920884792. The cubic root of 241000540 is about 622.3088901149.

Adding to 241000540 its reverse (45000142), we get a palindrome (286000682).

The spelling of 241000540 in words is "two hundred forty-one million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 121 212 220 242 265 484 530 583 605 1060 1166 1210 1879 2332 2420 2915 3758 5830 6413 7516 9395 11660 12826 18790 20669 25652 32065 37580 41338 64130 82676 99587 103345 128260 199174 206690 227359 398348 413380 454718 497935 909436 995870 1095457 1136795 1991740 2190914 2273590 4381828 4547180 5477285 10954570 12050027 21909140 24100054 48200108 60250135 120500270 241000540