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130398660 = 2235573833
BaseRepresentation
bin1111100010110…
…11100111000100
3100002100221100000
413301123213010
5231340224120
620534521300
73142241010
oct761334704
9302327300
10130398660
1167674497
1237806230
1321028092
1413465540
15b6ab990
hex7c5b9c4

130398660 has 144 divisors (see below), whose sum is σ = 468913536. Its totient is φ = 29797632.

The previous prime is 130398643. The next prime is 130398677. The reversal of 130398660 is 66893031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130398643) and next prime (130398677).

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

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, 32104 + ... + 35936.

It is an arithmetic number, because the mean of its divisors is an integer number (3256344).

Almost surely, 2130398660 is an apocalyptic number.

130398660 is a gapful number since it is divisible by the number (10) 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 130398660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234456768).

130398660 is an abundant number, since it is smaller than the sum of its proper divisors (338514876).

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

130398660 is a wasteful number, since it uses less digits than its factorization.

130398660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 130398660 is about 11419.2232660545. The cubic root of 130398660 is about 507.0970018524.

The spelling of 130398660 in words is "one hundred thirty million, three hundred ninety-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 3833 4860 5670 6804 7666 8505 11340 11499 15332 17010 19165 22998 26831 34020 34497 38330 45996 53662 57495 68994 76660 80493 103491 107324 114990 134155 137988 160986 172485 206982 229980 241479 268310 310473 321972 344970 402465 413964 482958 517455 536620 620946 689940 724437 804930 931419 965916 1034910 1207395 1241892 1448874 1552365 1609860 1862838 2069820 2173311 2414790 2897748 3104730 3622185 3725676 4346622 4657095 4829580 6209460 6519933 7244370 8693244 9314190 10866555 13039866 14488740 18628380 21733110 26079732 32599665 43466220 65199330 130398660