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520424540240 = 245116122742709
BaseRepresentation
bin1111001001010111011…
…10000100100001010000
31211202022021120212012212
413210223232010201100
532011312140241430
61035025120011252
752412414414033
oct7445356044120
91752267525185
10520424540240
111907900a3920
1284a41160b28
133a0ca779b47
141b28da5b01a
15d80dcadb95
hex792bb84850

520424540240 has 160 divisors (see below), whose sum is σ = 1347566785920. Its totient is φ = 185318553600.

The previous prime is 520424540231. The next prime is 520424540249. The reversal of 520424540240 is 42045424025.

It is an interprime number because it is at equal distance from previous prime (520424540231) and next prime (520424540249).

It is a junction number, because it is equal to n+sod(n) for n = 520424540197 and 520424540206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520424540249) 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 31 ways as a sum of consecutive naturals, for example, 12164006 + ... + 12206714.

It is an arithmetic number, because the mean of its divisors is an integer number (8422292412).

Almost surely, 2520424540240 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 520424540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673783392960).

520424540240 is an abundant number, since it is smaller than the sum of its proper divisors (827142245680).

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

520424540240 is a wasteful number, since it uses less digits than its factorization.

520424540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43021 (or 43015 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

Adding to 520424540240 its reverse (42045424025), we get a palindrome (562469964265).

The spelling of 520424540240 in words is "five hundred twenty billion, four hundred twenty-four million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 227 244 305 440 454 488 610 671 880 908 976 1135 1220 1342 1816 2270 2440 2497 2684 3355 3632 4540 4880 4994 5368 6710 9080 9988 10736 12485 13420 13847 18160 19976 24970 26840 27694 39952 42709 49940 53680 55388 69235 85418 99880 110776 138470 152317 170836 199760 213545 221552 276940 304634 341672 427090 469799 553880 609268 683344 761585 854180 939598 1107760 1218536 1523170 1708360 1879196 2348995 2437072 2605249 3046340 3416720 3758392 4697990 5210498 6092680 7516784 9395980 9694943 10420996 12185360 13026245 18791960 19389886 20841992 26052490 28657739 37583920 38779772 41683984 48474715 52104980 57315478 77559544 96949430 104209960 106644373 114630956 143288695 155119088 193898860 208419920 213288746 229261912 286577390 387797720 426577492 458523824 533221865 573154780 591391523 775595440 853154984 1066443730 1146309560 1182783046 1706309968 2132887460 2292619120 2365566092 2956957615 4265774920 4731132184 5913915230 6505306753 8531549840 9462264368 11827830460 13010613506 23655660920 26021227012 32526533765 47311321840 52042454024 65053067530 104084908048 130106135060 260212270120 520424540240