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516810030 = 235111725419
BaseRepresentation
bin11110110011011…
…110010100101110
31100000110200002020
4132303132110232
52024300410110
6123141011010
715543545532
oct3663362456
91300420066
10516810030
112457a9030
121250b3a66
13830bc569
144c8cdbc2
1530588d70
hex1ecde52e

516810030 has 96 divisors (see below), whose sum is σ = 1437644160. Its totient is φ = 117895680.

The previous prime is 516809999. The next prime is 516810037. The reversal of 516810030 is 30018615.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516810037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92661 + ... + 98079.

It is an arithmetic number, because the mean of its divisors is an integer number (14975460).

Almost surely, 2516810030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516810030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718822080).

516810030 is an abundant number, since it is smaller than the sum of its proper divisors (920834130).

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

516810030 is a wasteful number, since it uses less digits than its factorization.

516810030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 516810030 is about 22733.4561824638. The cubic root of 516810030 is about 802.4974194655.

Adding to 516810030 its reverse (30018615), we get a palindrome (546828645).

The spelling of 516810030 in words is "five hundred sixteen million, eight hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 289 330 374 510 561 578 867 935 1122 1445 1734 1870 2805 2890 3179 4335 5419 5610 6358 8670 9537 10838 15895 16257 19074 27095 31790 32514 47685 54190 59609 81285 92123 95370 119218 162570 178827 184246 276369 298045 357654 460615 552738 596090 894135 921230 1013353 1381845 1566091 1788270 2026706 2763690 3040059 3132182 4698273 5066765 6080118 7830455 9396546 10133530 15200295 15660910 17227001 23491365 30400590 34454002 46982730 51681003 86135005 103362006 172270010 258405015 516810030