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130413360 = 24357117057
BaseRepresentation
bin1111100010111…
…11001100110000
3100002101200111110
413301133030300
5231341211420
620535113320
73142331610
oct761371460
9302350443
10130413360
1167684540
1237812840
132103198c
141346aa40
15b6b0ee0
hex7c5f330

130413360 has 160 divisors (see below), whose sum is σ = 504110592. Its totient is φ = 27095040.

The previous prime is 130413329. The next prime is 130413383. The reversal of 130413360 is 63314031.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 14952 + ... + 22008.

Almost surely, 2130413360 is an apocalyptic number.

130413360 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 130413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252055296).

130413360 is an abundant number, since it is smaller than the sum of its proper divisors (373697232).

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

130413360 is a wasteful number, since it uses less digits than its factorization.

130413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091 (or 7085 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 130413360 is about 11419.8668993995. The cubic root of 130413360 is about 507.1160563576.

Adding to 130413360 its reverse (63314031), we get a palindrome (193727391).

The spelling of 130413360 in words is "one hundred thirty million, four hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 7057 9240 14114 18480 21171 28228 35285 42342 49399 56456 70570 77627 84684 98798 105855 112912 141140 148197 155254 169368 197596 211710 232881 246995 282280 296394 310508 338736 388135 395192 423420 465762 493990 543389 564560 592788 621016 740985 776270 790384 846840 931524 987980 1086778 1164405 1185576 1242032 1481970 1552540 1630167 1693680 1863048 1975960 2173556 2328810 2371152 2716945 2963940 3105080 3260334 3726096 3951920 4347112 4657620 5433890 5927880 6210160 6520668 8150835 8694224 9315240 10867780 11855760 13041336 16301670 18630480 21735560 26082672 32603340 43471120 65206680 130413360