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516315030 = 2357111012213
BaseRepresentation
bin11110110001100…
…101011110010110
31022222112112001220
4132301211132112
52024134040110
6123122231210
715536414430
oct3661453626
91288475056
10516315030
112454a0140
12124ab5506
1382c7816a
144c801650
15304dc370
hex1ec65796

516315030 has 128 divisors (see below), whose sum is σ = 1560923136. Its totient is φ = 106176000.

The previous prime is 516315011. The next prime is 516315073. The reversal of 516315030 is 30513615.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 232204 + ... + 234416.

It is an arithmetic number, because the mean of its divisors is an integer number (12194712).

Almost surely, 2516315030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516315030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780461568).

516315030 is an abundant number, since it is smaller than the sum of its proper divisors (1044608106).

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

516315030 is a wasteful number, since it uses less digits than its factorization.

516315030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 516315030 is about 22722.5665363752. The cubic root of 516315030 is about 802.2411272813.

Adding to 516315030 its reverse (30513615), we get a palindrome (546828645).

The spelling of 516315030 in words is "five hundred sixteen million, three hundred fifteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 101 105 110 154 165 202 210 231 303 330 385 462 505 606 707 770 1010 1111 1155 1414 1515 2121 2213 2222 2310 3030 3333 3535 4242 4426 5555 6639 6666 7070 7777 10605 11065 11110 13278 15491 15554 16665 21210 22130 23331 24343 30982 33195 33330 38885 46473 46662 48686 66390 73029 77455 77770 92946 116655 121715 146058 154910 170401 223513 232365 233310 243430 340802 365145 447026 464730 511203 670539 730290 852005 1022406 1117565 1341078 1564591 1704010 2235130 2458643 2556015 3129182 3352695 4693773 4917286 5112030 6705390 7375929 7822955 9387546 12293215 14751858 15645910 17210501 23468865 24586430 34421002 36879645 46937730 51631503 73759290 86052505 103263006 172105010 258157515 516315030