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130387860 = 22335317789
BaseRepresentation
bin1111100010110…
…00111110010100
3100002100101112000
413301120332110
5231334402420
620534355300
73142164351
oct761307624
9302311460
10130387860
1167667369
12377bbb30
13210231a5
1413461628
15b6a8690
hex7c58f94

130387860 has 96 divisors (see below), whose sum is σ = 418790400. Its totient is φ = 33644160.

The previous prime is 130387853. The next prime is 130387867. The reversal of 130387860 is 68783031.

It is an interprime number because it is at equal distance from previous prime (130387853) and next prime (130387867).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130387867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12846 + ... + 20634.

It is an arithmetic number, because the mean of its divisors is an integer number (4362400).

Almost surely, 2130387860 is an apocalyptic number.

130387860 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 130387860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209395200).

130387860 is an abundant number, since it is smaller than the sum of its proper divisors (288402540).

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

130387860 is a wasteful number, since it uses less digits than its factorization.

130387860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 130387860 is about 11418.7503694581. The cubic root of 130387860 is about 507.0830017115.

The spelling of 130387860 in words is "one hundred thirty million, three hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 7789 8370 15578 16740 23367 31156 38945 46734 70101 77890 93468 116835 140202 155780 210303 233670 241459 280404 350505 420606 467340 482918 701010 724377 841212 965836 1051515 1207295 1402020 1448754 2103030 2173131 2414590 2897508 3621885 4206060 4346262 4829180 6519393 7243770 8692524 10865655 13038786 14487540 21731310 26077572 32596965 43462620 65193930 130387860