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515345740 = 2257213192129
BaseRepresentation
bin11110101101111…
…000110101001100
31022220201021110021
4132231320311030
52023412030430
6123045351524
715525236500
oct3655706514
91286637407
10515345740
11244998978
121247085a4
13829c8c10
144c62c300
153039a07a
hex1eb78d4c

515345740 has 144 divisors (see below), whose sum is σ = 1427781600. Its totient is φ = 154441728.

The previous prime is 515345717. The next prime is 515345821. The reversal of 515345740 is 47543515.

It is a super-2 number, since 2×5153457402 = 531162463472295200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 515345696 and 515345705.

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 47 ways as a sum of consecutive naturals, for example, 240996 + ... + 243124.

It is an arithmetic number, because the mean of its divisors is an integer number (9915150).

Almost surely, 2515345740 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 515345740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713890800).

515345740 is an abundant number, since it is smaller than the sum of its proper divisors (912435860).

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

515345740 is a wasteful number, since it uses less digits than its factorization.

515345740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 515345740 is about 22701.2277201036. The cubic root of 515345740 is about 801.7387909362.

The spelling of 515345740 in words is "five hundred fifteen million, three hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 637 665 910 931 980 988 1235 1274 1330 1729 1820 1862 2129 2470 2548 2660 3185 3458 3724 4258 4655 4940 6370 6916 8516 8645 9310 10645 12103 12740 14903 17290 18620 21290 24206 27677 29806 34580 40451 42580 48412 55354 59612 60515 74515 80902 104321 110708 121030 138385 149030 161804 193739 202255 208642 242060 276770 283157 298060 387478 404510 417284 521605 525863 553540 566314 774956 809020 968695 1043210 1051726 1132628 1356173 1415785 1937390 1982099 2086420 2103452 2629315 2712346 2831570 3681041 3874780 3964198 5258630 5424692 5663140 6780865 7362082 7928396 9910495 10517260 13561730 14724164 18405205 19820990 25767287 27123460 36810410 39641980 51534574 73620820 103069148 128836435 257672870 515345740