Search a number
-
+
530598000241 = 17193771631991
BaseRepresentation
bin1111011100010100001…
…10101111011001110001
31212201120021202011201201
413232022012233121301
532143131042001431
61043430420331201
753222466405211
oct7561206573161
91781507664651
10530598000241
11195030813a01
1286a00243b01
133b05c38b46a
141b976c54241
15dc06ed2461
hex7b8a1af671

530598000241 has 64 divisors (see below), whose sum is σ = 617514762240. Its totient is φ = 452656512000.

The previous prime is 530598000227. The next prime is 530598000271. The reversal of 530598000241 is 142000895035.

Adding to 530598000241 its reverse (142000895035), we get a palindrome (672598895276).

It is a 4-Lehmer number, since φ(530598000241) divides (530598000241-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 530598000241 - 235 = 496238261873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R530598000240.

It is a self number, because there is not a number n which added to its sum of digits gives 530598000241.

It is not an unprimeable number, because it can be changed into a prime (530598000271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535416256 + ... + 535417246.

It is an arithmetic number, because the mean of its divisors is an integer number (9648668160).

It is a Poulet number, since it divides 2530598000240-1.

Almost surely, 2530598000241 is an apocalyptic number.

It is an amenable number.

530598000241 is a deficient number, since it is larger than the sum of its proper divisors (86916761999).

530598000241 is a wasteful number, since it uses less digits than its factorization.

530598000241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 530598000241 in words is "five hundred thirty billion, five hundred ninety-eight million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 17 19 37 71 323 629 631 703 991 1207 1349 2627 10727 11951 11989 16847 18829 22933 23347 36667 44659 44801 49913 70361 203813 320093 396899 443593 623339 625321 696673 761617 848521 851219 1196137 1336859 1657637 2603357 7541081 10630457 11843441 11881099 14470723 22726603 23136877 28179829 31495103 44257069 44397791 49463783 201978683 393326909 439600663 535416751 754762447 840884311 843558029 1642718267 7473211271 14340486493 27926210539 31211647073 530598000241