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130808580 = 22357437243
BaseRepresentation
bin1111100101111…
…11101100000100
3100010010202122020
413302333230010
5231441333310
620551403140
73145566060
oct762775404
9303122566
10130808580
1167924471
12379834b0
132113c836
1413530aa0
15b73d170
hex7cbfb04

130808580 has 96 divisors (see below), whose sum is σ = 428381184. Its totient is φ = 29199744.

The previous prime is 130808549. The next prime is 130808593. The reversal of 130808580 is 85808031.

It is a super-2 number, since 2×1308085802 = 34221769203232800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14439 + ... + 21681.

It is an arithmetic number, because the mean of its divisors is an integer number (4462304).

Almost surely, 2130808580 is an apocalyptic number.

130808580 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 130808580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214190592).

130808580 is an abundant number, since it is smaller than the sum of its proper divisors (297572604).

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

130808580 is a wasteful number, since it uses less digits than its factorization.

130808580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7305 (or 7303 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 130808580 is about 11437.1578637352. The cubic root of 130808580 is about 507.6278144749.

The spelling of 130808580 in words is "one hundred thirty million, eight hundred eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 7243 9030 14486 18060 21729 28972 36215 43458 50701 72430 86916 101402 108645 144860 152103 202804 217290 253505 304206 311449 434580 507010 608412 622898 760515 934347 1014020 1245796 1521030 1557245 1868694 2180143 3042060 3114490 3737388 4360286 4671735 6228980 6540429 8720572 9343470 10900715 13080858 18686940 21801430 26161716 32702145 43602860 65404290 130808580