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130309560 = 23345371087
BaseRepresentation
bin1111100010001…
…01110110111000
3100002012102010000
413301011312320
5231324401220
620532553000
73141420153
oct761056670
9302172100
10130309560
1167613557
1237782760
1320cc6664
1413440c9a
15b690390
hex7c45db8

130309560 has 160 divisors (see below), whose sum is σ = 450236160. Its totient is φ = 33778944.

The previous prime is 130309511. The next prime is 130309561. The reversal of 130309560 is 65903031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130309561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119337 + ... + 120423.

It is an arithmetic number, because the mean of its divisors is an integer number (2813976).

Almost surely, 2130309560 is an apocalyptic number.

130309560 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 130309560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225118080).

130309560 is an abundant number, since it is smaller than the sum of its proper divisors (319926600).

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

130309560 is a wasteful number, since it uses less digits than its factorization.

130309560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 130309560 is about 11415.3212832579. The cubic root of 130309560 is about 506.9814775629.

The spelling of 130309560 in words is "one hundred thirty million, three hundred nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1087 1110 1332 1480 1620 1665 1998 2174 2220 2664 2997 3240 3261 3330 3996 4348 4440 4995 5435 5994 6522 6660 7992 8696 9783 9990 10870 11988 13044 13320 14985 16305 19566 19980 21740 23976 26088 29349 29970 32610 39132 39960 40219 43480 48915 58698 59940 65220 78264 80438 88047 97830 117396 119880 120657 130440 146745 160876 176094 195660 201095 234792 241314 293490 321752 352188 361971 391320 402190 440235 482628 586980 603285 704376 723942 804380 880470 965256 1085913 1173960 1206570 1447884 1608760 1760940 1809855 2171826 2413140 2895768 3257739 3521880 3619710 4343652 4826280 5429565 6515478 7239420 8687304 10859130 13030956 14478840 16288695 21718260 26061912 32577390 43436520 65154780 130309560