Search a number
-
+
520103512240 = 245134017091759
BaseRepresentation
bin1111001000110001001…
…01011100100010110000
31211201110220111221120221
413210120211130202300
532010132444342430
61034533211142424
752401435624244
oct7443045344260
91751426457527
10520103512240
11190635967824
1284971744a14
133a0790c8a50
141b25d172424
15d7e09e957a
hex791895c8b0

520103512240 has 160 divisors (see below), whose sum is σ = 1308091276800. Its totient is φ = 191180390400.

The previous prime is 520103512213. The next prime is 520103512241. The reversal of 520103512240 is 42215301025.

It is not an unprimeable number, because it can be changed into a prime (520103512241) 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, 295680481 + ... + 295682239.

It is an arithmetic number, because the mean of its divisors is an integer number (8175570480).

Almost surely, 2520103512240 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 520103512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654045638400).

520103512240 is an abundant number, since it is smaller than the sum of its proper divisors (787987764560).

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

520103512240 is a wasteful number, since it uses less digits than its factorization.

520103512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 520103512240 its reverse (42215301025), we get a palindrome (562318813265).

The spelling of 520103512240 in words is "five hundred twenty billion, one hundred three million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 401 520 709 802 1040 1418 1604 1759 2005 2836 3208 3518 3545 4010 5213 5672 6416 7036 7090 8020 8795 9217 10426 11344 14072 14180 16040 17590 18434 20852 22867 26065 28144 28360 32080 35180 36868 41704 45734 46085 52130 56720 70360 73736 83408 91468 92170 104260 114335 140720 147472 182936 184340 208520 228670 284309 365872 368680 417040 457340 568618 705359 737360 914680 1137236 1247131 1410718 1421545 1829360 2274472 2494262 2821436 2843090 3526795 3696017 4548944 4988524 5642872 5686180 6235655 7053590 7392034 9169667 9977048 11285744 11372360 12471310 14107180 14784068 16212703 18339334 18480085 19954096 22744720 24942620 28214360 29568136 32425406 36678668 36960170 45848335 49885240 56428720 59136272 64850812 73357336 73920340 81063515 91696670 99770480 129701624 146714672 147840680 162127030 183393340 259403248 295681360 324254060 366786680 500099531 648508120 733573360 1000199062 1297016240 2000398124 2500497655 4000796248 5000995310 6501293903 8001592496 10001990620 13002587806 20003981240 26005175612 32506469515 40007962480 52010351224 65012939030 104020702448 130025878060 260051756120 520103512240