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30480660 = 223257171423
BaseRepresentation
bin111010001000…
…1100100010100
32010100120121100
41310101210110
530300340120
63005150100
7520036620
oct164214424
963316540
1030480660
1116229631
12a25b330
1364129c2
144096180
152a21490
hex1d11914

30480660 has 144 divisors (see below), whose sum is σ = 111960576. Its totient is φ = 6552576.

The previous prime is 30480647. The next prime is 30480707. The reversal of 30480660 is 6608403.

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, 20709 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (777504).

Almost surely, 230480660 is an apocalyptic number.

30480660 is a gapful number since it is divisible by the number (30) 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 30480660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55980288).

30480660 is an abundant number, since it is smaller than the sum of its proper divisors (81479916).

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

30480660 is a wasteful number, since it uses less digits than its factorization.

30480660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30480660 is about 5520.9292696067. The cubic root of 30480660 is about 312.3739352848.

It can be divided in two parts, 30 and 480660, that added together give a triangular number (480690 = T980).

The spelling of 30480660 in words is "thirty million, four hundred eighty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1423 1428 1530 1785 2142 2380 2846 3060 3570 4269 4284 5355 5692 7115 7140 8538 9961 10710 12807 14230 17076 19922 21345 21420 24191 25614 28460 29883 39844 42690 48382 49805 51228 59766 64035 72573 85380 89649 96764 99610 119532 120955 128070 145146 149415 169337 179298 199220 217719 241910 256140 290292 298830 338674 358596 362865 435438 448245 483820 508011 597660 677348 725730 846685 870876 896490 1016022 1088595 1451460 1524033 1693370 1792980 2032044 2177190 2540055 3048066 3386740 4354380 5080110 6096132 7620165 10160220 15240330 30480660