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30866080 = 2557231127
BaseRepresentation
bin111010110111…
…1101010100000
32011002011022011
41311233222200
530400203310
63021322304
7523233400
oct165575240
964064264
1030866080
1116472163
12a406394
13651926b
144156800
152a9a78a
hex1d6faa0

30866080 has 144 divisors (see below), whose sum is σ = 88252416. Its totient is φ = 10160640.

The previous prime is 30866057. The next prime is 30866093. The reversal of 30866080 is 8066803.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242977 + ... + 243103.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 230866080 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 30866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44126208).

30866080 is an abundant number, since it is smaller than the sum of its proper divisors (57386336).

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

30866080 is a wasteful number, since it uses less digits than its factorization.

30866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 30866080 is about 5555.7249751945. The cubic root of 30866080 is about 313.6850534606.

The spelling of 30866080 in words is "thirty million, eight hundred sixty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 127 140 155 160 196 217 224 245 248 254 280 310 392 434 490 496 508 560 620 635 784 868 889 980 992 1016 1085 1120 1240 1270 1519 1568 1736 1778 1960 2032 2170 2480 2540 3038 3472 3556 3920 3937 4064 4340 4445 4960 5080 6076 6223 6944 7112 7595 7840 7874 8680 8890 10160 12152 12446 14224 15190 15748 17360 17780 19685 20320 24304 24892 27559 28448 30380 31115 31496 34720 35560 39370 48608 49784 55118 60760 62230 62992 71120 78740 99568 110236 121520 124460 125984 137795 142240 157480 192913 199136 220472 243040 248920 275590 314960 385826 440944 497840 551180 629920 771652 881888 964565 995680 1102360 1543304 1929130 2204720 3086608 3858260 4409440 6173216 7716520 15433040 30866080