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5305334540 = 22511237193307
BaseRepresentation
bin1001111000011100…
…01111101100001100
3111200201220220210212
410330032033230030
541331131201130
62234235421552
7245320412432
oct47416175414
914621826725
105305334540
1122827a5400
1210408b48b8
136671a680c
14384862d52
15210b6ae95
hex13c38fb0c

5305334540 has 144 divisors (see below), whose sum is σ = 12683437536. Its totient is φ = 1861263360.

The previous prime is 5305334533. The next prime is 5305334543. The reversal of 5305334540 is 454335035.

It is a junction number, because it is equal to n+sod(n) for n = 5305334497 and 5305334506.

It is not an unprimeable number, because it can be changed into a prime (5305334543) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17281067 + ... + 17281373.

Almost surely, 25305334540 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 5305334540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341718768).

5305334540 is an abundant number, since it is smaller than the sum of its proper divisors (7378102996).

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

5305334540 is a wasteful number, since it uses less digits than its factorization.

5305334540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The square root of 5305334540 is about 72837.7274494475. The cubic root of 5305334540 is about 1744.0981637329.

Adding to 5305334540 its reverse (454335035), we get a palindrome (5759669575).

The spelling of 5305334540 in words is "five billion, three hundred five million, three hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 193 220 242 307 370 386 407 484 605 614 740 772 814 965 1210 1228 1535 1628 1930 2035 2123 2420 3070 3377 3860 4070 4246 4477 6140 6754 7141 8140 8492 8954 10615 11359 13508 14282 16885 17908 21230 22385 22718 23353 28564 33770 35705 37147 42460 44770 45436 46706 56795 59251 67540 71410 74294 78551 89540 93412 113590 116765 118502 124949 142820 148588 157102 185735 227180 233530 237004 249898 296255 314204 371470 392755 467060 499796 592510 624745 651761 742940 785510 864061 1185020 1249490 1303522 1374439 1571020 1728122 2192287 2498980 2607044 2748878 3258805 3456244 4320305 4384574 5497756 6517610 6872195 7169371 8640610 8769148 10961435 13035220 13744390 14338742 17281220 21922870 24115157 27488780 28677484 35846855 43845740 48230314 71693710 96460628 120575785 143387420 241151570 265266727 482303140 530533454 1061066908 1326333635 2652667270 5305334540