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130984560 = 2433578663
BaseRepresentation
bin1111100111010…
…10101001110000
3100010110201001000
413303222221300
5232013001220
620555242000
73150231120
oct763525160
9303421030
10130984560
1167a34703
1237a49300
13211a1975
1413578c80
15b775390
hex7ceaa70

130984560 has 160 divisors (see below), whose sum is σ = 515681280. Its totient is φ = 29935872.

The previous prime is 130984549. The next prime is 130984583. The reversal of 130984560 is 65489031.

130984560 is a `hidden beast` number, since 1 + 3 + 0 + 98 + 4 + 560 = 666.

It is a super-4 number, since 4×1309845604 (a number of 34 digits) contains 4444 as substring.

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

It is a congruent number.

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, 10789 + ... + 19451.

It is an arithmetic number, because the mean of its divisors is an integer number (3223008).

Almost surely, 2130984560 is an apocalyptic number.

130984560 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 130984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257840640).

130984560 is an abundant number, since it is smaller than the sum of its proper divisors (384696720).

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

130984560 is a wasteful number, since it uses less digits than its factorization.

130984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130984560 is about 11444.8486228521. The cubic root of 130984560 is about 507.8553538620.

The spelling of 130984560 in words is "one hundred thirty million, nine hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 8663 15120 17326 25989 34652 43315 51978 60641 69304 77967 86630 103956 121282 129945 138608 155934 173260 181923 207912 233901 242564 259890 303205 311868 346520 363846 389835 415824 467802 485128 519780 545769 606410 623736 693040 727692 779670 909615 935604 970256 1039560 1091538 1169505 1212820 1247472 1455384 1559340 1637307 1819230 1871208 2079120 2183076 2339010 2425640 2728845 2910768 3118680 3274614 3638460 3742416 4366152 4678020 4851280 5457690 6237360 6549228 7276920 8186535 8732304 9356040 10915380 13098456 14553840 16373070 18712080 21830760 26196912 32746140 43661520 65492280 130984560