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6130336860 = 22325372773323
BaseRepresentation
bin1011011010110010…
…11000010001011100
3120211020022101020100
411231121120101130
5100023331234420
62452150221100
7304626001134
oct55531302134
916736271210
106130336860
1126664628aa
121231054790
137690a197b
14422259ac4
1525d2d1190
hex16d65845c

6130336860 has 144 divisors (see below), whose sum is σ = 19172645856. Its totient is φ = 1584354816.

The previous prime is 6130336847. The next prime is 6130336889. The reversal of 6130336860 is 686330316.

6130336860 is a `hidden beast` number, since 613 + 0 + 3 + 36 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1843159 + ... + 1846481.

It is an arithmetic number, because the mean of its divisors is an integer number (133143374).

Almost surely, 26130336860 is an apocalyptic number.

6130336860 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130336860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586322928).

6130336860 is an abundant number, since it is smaller than the sum of its proper divisors (13042308996).

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

6130336860 is a wasteful number, since it uses less digits than its factorization.

6130336860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6130336860 is about 78296.4677364184. The cubic root of 6130336860 is about 1830.1841076082.

The spelling of 6130336860 in words is "six billion, one hundred thirty million, three hundred thirty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 277 333 370 444 554 555 666 740 831 1108 1110 1332 1385 1662 1665 2220 2493 2770 3323 3324 3330 4155 4986 5540 6646 6660 8310 9969 9972 10249 12465 13292 16615 16620 19938 20498 24930 29907 30747 33230 39876 40996 49845 49860 51245 59814 61494 66460 92241 99690 102490 119628 122951 122988 149535 153735 184482 199380 204980 245902 299070 307470 368853 368964 461205 491804 598140 614755 614940 737706 920471 922410 1106559 1229510 1475412 1840942 1844265 1844820 2213118 2459020 2761413 3681884 3688530 4426236 4602355 5522826 5532795 7377060 8284239 9204710 11045652 11065590 13807065 16568478 18409420 22131180 27614130 33136956 34057427 41421195 55228260 68114854 82842390 102172281 136229708 165684780 170287135 204344562 306516843 340574270 408689124 510861405 613033686 681148540 1021722810 1226067372 1532584215 2043445620 3065168430 6130336860