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130509960 = 23357251619
BaseRepresentation
bin1111100011101…
…10110010001000
3100002120121000020
413301312302020
5231402304320
620541140440
73143213340
oct761666210
9302517006
10130509960
1167740079
123785a720
1321066939
1413493d20
15b6ce940
hex7c76c88

130509960 has 128 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 29664000.

The previous prime is 130509949. The next prime is 130509983. The reversal of 130509960 is 69905031.

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, 210531 + ... + 211149.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2130509960 is an apocalyptic number.

130509960 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 130509960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

130509960 is an abundant number, since it is smaller than the sum of its proper divisors (319461240).

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

130509960 is a wasteful number, since it uses less digits than its factorization.

130509960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 130509960 is about 11424.0955878354. The cubic root of 130509960 is about 507.2412360699.

The spelling of 130509960 in words is "one hundred thirty million, five hundred nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 251 280 420 502 619 753 840 1004 1238 1255 1506 1757 1857 2008 2476 2510 3012 3095 3514 3714 3765 4333 4952 5020 5271 6024 6190 7028 7428 7530 8666 8785 9285 10040 10542 12380 12999 14056 14856 15060 17332 17570 18570 21084 21665 24760 25998 26355 30120 34664 35140 37140 42168 43330 51996 52710 64995 70280 74280 86660 103992 105420 129990 155369 173320 210840 259980 310738 466107 519960 621476 776845 932214 1087583 1242952 1553690 1864428 2175166 2330535 3107380 3262749 3728856 4350332 4661070 5437915 6214760 6525498 8700664 9322140 10875830 13050996 16313745 18644280 21751660 26101992 32627490 43503320 65254980 130509960