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540260024532 = 2232311322437723
BaseRepresentation
bin1111101110010100000…
…00011100000011010100
31220122111122112212100020
413313022000130003110
532322423031241112
61052105251145140
754014101303224
oct7671200340324
91818448485306
10540260024532
11199139776848
1288857ba51b0
133bc3c0427b7
141c21215a084
15e0c037e48c
hex7dca01c0d4

540260024532 has 96 divisors (see below), whose sum is σ = 1327820110848. Its totient is φ = 170634207744.

The previous prime is 540260024503. The next prime is 540260024561. The reversal of 540260024532 is 235420062045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540260024503) and next prime (540260024561).

It is a junction number, because it is equal to n+sod(n) for n = 540260024493 and 540260024502.

It is a congruent number.

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, 69950823 + ... + 69958545.

It is an arithmetic number, because the mean of its divisors is an integer number (13831459488).

Almost surely, 2540260024532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540260024532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663910055424).

540260024532 is an abundant number, since it is smaller than the sum of its proper divisors (787560086316).

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

540260024532 is a wasteful number, since it uses less digits than its factorization.

540260024532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10109 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 540260024532 its reverse (235420062045), we get a palindrome (775680086577).

The spelling of 540260024532 in words is "five hundred forty billion, two hundred sixty million, twenty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 226 276 339 452 678 1356 2243 2599 4486 5198 6729 7723 7797 8972 10396 13458 15446 15594 23169 26916 30892 31188 46338 51589 92676 103178 154767 177629 206356 253459 309534 355258 506918 532887 619068 710516 760377 872699 1013836 1065774 1520754 1745398 2131548 2618097 3041508 3490796 5236194 5829557 10472388 11659114 17322689 17488671 20072077 23318228 34645378 34977342 40144154 51968067 60216231 69290756 69954684 80288308 103936134 120432462 207872268 240864924 398421847 796843694 1195265541 1593687388 1957463857 2390531082 3914927714 4781062164 5872391571 7829855428 11744783142 23489566284 45021668711 90043337422 135065006133 180086674844 270130012266 540260024532