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241040540 = 2251367101137
BaseRepresentation
bin11100101110111…
…11110010011100
3121210120010110102
432113133302130
5443201244130
635530200232
75654545046
oct1627376234
9553503412
10241040540
11114074364
1268883078
133ac26650
1424026a96
1516264645
hexe5dfc9c

241040540 has 96 divisors (see below), whose sum is σ = 562814784. Its totient is φ = 86169600.

The previous prime is 241040521. The next prime is 241040551. The reversal of 241040540 is 45040142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759352 + ... + 1759488.

It is an arithmetic number, because the mean of its divisors is an integer number (5862654).

Almost surely, 2241040540 is an apocalyptic number.

241040540 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 241040540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281407392).

241040540 is an abundant number, since it is smaller than the sum of its proper divisors (321774244).

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

241040540 is a wasteful number, since it uses less digits than its factorization.

241040540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 241040540 is about 15525.4803468363. The cubic root of 241040540 is about 622.3433173940.

Adding to 241040540 its reverse (45040142), we get a palindrome (286080682).

The spelling of 241040540 in words is "two hundred forty-one million, forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 101 130 134 137 202 260 268 274 335 404 505 548 670 685 871 1010 1313 1340 1370 1742 1781 2020 2626 2740 3484 3562 4355 5252 6565 6767 7124 8710 8905 9179 13130 13534 13837 17420 17810 18358 26260 27068 27674 33835 35620 36716 45895 55348 67670 69185 87971 91790 119327 135340 138370 175942 179881 183580 238654 276740 351884 359762 439855 477308 596635 719524 879710 899405 927079 1193270 1759420 1798810 1854158 2386540 3597620 3708316 4635395 9270790 12052027 18541580 24104054 48208108 60260135 120520270 241040540