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518540040 = 233251519539
BaseRepresentation
bin11110111010000…
…100101100001000
31100010201120012200
4132322010230020
52030221240130
6123242040200
715564342354
oct3672045410
91303646180
10518540040
1124677a897
121257a9060
1383576b35
144cc20464
15307cb760
hex1ee84b08

518540040 has 96 divisors (see below), whose sum is σ = 1696593600. Its totient is φ = 137347200.

The previous prime is 518540021. The next prime is 518540047. The reversal of 518540040 is 40045815.

It is a junction number, because it is equal to n+sod(n) for n = 518539986 and 518540013.

It is not an unprimeable number, because it can be changed into a prime (518540047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49591 + ... + 59129.

It is an arithmetic number, because the mean of its divisors is an integer number (17672850).

Almost surely, 2518540040 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 518540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848296800).

518540040 is an abundant number, since it is smaller than the sum of its proper divisors (1178053560).

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

518540040 is a wasteful number, since it uses less digits than its factorization.

518540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 518540040 is about 22771.4742605743. The cubic root of 518540040 is about 803.3918695353.

Adding to 518540040 its reverse (40045815), we get a palindrome (558585855).

The spelling of 518540040 in words is "five hundred eighteen million, five hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 453 604 755 906 1208 1359 1510 1812 2265 2718 3020 3624 4530 5436 6040 6795 9060 9539 10872 13590 18120 19078 27180 28617 38156 47695 54360 57234 76312 85851 95390 114468 143085 171702 190780 228936 286170 343404 381560 429255 572340 686808 858510 1144680 1440389 1717020 2880778 3434040 4321167 5761556 7201945 8642334 11523112 12963501 14403890 17284668 21605835 25927002 28807780 34569336 43211670 51854004 57615560 64817505 86423340 103708008 129635010 172846680 259270020 518540040