Search a number
-
+
130871580 = 22357463673
BaseRepresentation
bin1111100110011…
…11000100011100
3100010020222001120
413303033010130
5232000342310
620553010540
73146250540
oct763170434
9303228046
10130871580
1167967834
12379b3a50
1321162408
1413549a20
15b751b70
hex7ccf11c

130871580 has 96 divisors (see below), whose sum is σ = 420317184. Its totient is φ = 29804544.

The previous prime is 130871567. The next prime is 130871581. The reversal of 130871580 is 85178031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130871581) 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, 194124 + ... + 194796.

It is an arithmetic number, because the mean of its divisors is an integer number (4378304).

Almost surely, 2130871580 is an apocalyptic number.

130871580 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 130871580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210158592).

130871580 is an abundant number, since it is smaller than the sum of its proper divisors (289445604).

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

130871580 is a wasteful number, since it uses less digits than its factorization.

130871580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 130871580 is about 11439.9117129460. The cubic root of 130871580 is about 507.7092959280.

The spelling of 130871580 in words is "one hundred thirty million, eight hundred seventy-one thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 463 673 926 1346 1389 1852 2019 2315 2692 2778 3241 3365 4038 4630 4711 5556 6482 6730 6945 8076 9260 9422 9723 10095 12964 13460 13890 14133 16205 18844 19446 20190 23555 27780 28266 32410 38892 40380 47110 48615 56532 64820 70665 94220 97230 141330 194460 282660 311599 623198 934797 1246396 1557995 1869594 2181193 3115990 3739188 4362386 4673985 6231980 6543579 8724772 9347970 10905965 13087158 18695940 21811930 26174316 32717895 43623860 65435790 130871580