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516304140 = 2235113892011
BaseRepresentation
bin11110110001100…
…010110100001100
31022222111222010120
4132301202310030
52024133213030
6123122104540
715536340612
oct3661426414
91288458116
10516304140
11245492a40
12124aab150
1382c73211
144c7db6b2
15304d9010
hex1ec62d0c

516304140 has 96 divisors (see below), whose sum is σ = 1581914880. Its totient is φ = 124780800.

The previous prime is 516304123. The next prime is 516304153. The reversal of 516304140 is 41403615.

It is a super-2 number, since 2×5163041402 = 533139929962279200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 516304140.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255735 + ... + 257745.

It is an arithmetic number, because the mean of its divisors is an integer number (16478280).

Almost surely, 2516304140 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 516304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790957440).

516304140 is an abundant number, since it is smaller than the sum of its proper divisors (1065610740).

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

516304140 is a wasteful number, since it uses less digits than its factorization.

516304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 516304140 is about 22722.3269054910. The cubic root of 516304140 is about 802.2354870121.

Adding to 516304140 its reverse (41403615), we get a palindrome (557707755).

The spelling of 516304140 in words is "five hundred sixteen million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 389 660 778 1167 1556 1945 2011 2334 3890 4022 4279 4668 5835 6033 7780 8044 8558 10055 11670 12066 12837 17116 20110 21395 22121 23340 24132 25674 30165 40220 42790 44242 51348 60330 64185 66363 85580 88484 110605 120660 128370 132726 221210 256740 265452 331815 442420 663630 782279 1327260 1564558 2346837 3129116 3911395 4693674 7822790 8605069 9387348 11734185 15645580 17210138 23468370 25815207 34420276 43025345 46936740 51630414 86050690 103260828 129076035 172101380 258152070 516304140