Search a number
-
+
130020300 = 223252731979
BaseRepresentation
bin1111011111111…
…11001111001100
3100001122201022200
413233333033030
5231241122200
620522441500
73136103634
oct757771714
9301581280
10130020300
11674361a3
1237663290
1320c24ab7
14133a76c4
15b634800
hex7bff3cc

130020300 has 108 divisors (see below), whose sum is σ = 413332920. Its totient is φ = 34179840.

The previous prime is 130020281. The next prime is 130020313. The reversal of 130020300 is 3020031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64711 + ... + 66689.

Almost surely, 2130020300 is an apocalyptic number.

130020300 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 130020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206666460).

130020300 is an abundant number, since it is smaller than the sum of its proper divisors (283312620).

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

130020300 is a wasteful number, since it uses less digits than its factorization.

130020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130020300 is about 11402.6444301311. The cubic root of 130020300 is about 506.6060686607.

Adding to 130020300 its reverse (3020031), we get a palindrome (133040331).

The spelling of 130020300 in words is "one hundred thirty million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 73 75 90 100 146 150 180 219 225 292 300 365 438 450 657 730 876 900 1095 1314 1460 1825 1979 2190 2628 3285 3650 3958 4380 5475 5937 6570 7300 7916 9895 10950 11874 13140 16425 17811 19790 21900 23748 29685 32850 35622 39580 49475 59370 65700 71244 89055 98950 118740 144467 148425 178110 197900 288934 296850 356220 433401 445275 577868 593700 722335 866802 890550 1300203 1444670 1733604 1781100 2167005 2600406 2889340 3611675 4334010 5200812 6501015 7223350 8668020 10835025 13002030 14446700 21670050 26004060 32505075 43340100 65010150 130020300