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130120560 = 24335107563
BaseRepresentation
bin1111100000101…
…11101101110000
3100001211210212000
413300113231300
5231302324220
620524534000
73140002143
oct760275560
9301753760
10130120560
11674a4559
12376b1300
1320c5b61b
14133d205a
15b654390
hex7c17b70

130120560 has 160 divisors (see below), whose sum is σ = 453185280. Its totient is φ = 34313472.

The previous prime is 130120559. The next prime is 130120579. The reversal of 130120560 is 65021031.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 230839 + ... + 231401.

It is an arithmetic number, because the mean of its divisors is an integer number (2832408).

Almost surely, 2130120560 is an apocalyptic number.

130120560 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 130120560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226592640).

130120560 is an abundant number, since it is smaller than the sum of its proper divisors (323064720).

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

130120560 is a wasteful number, since it uses less digits than its factorization.

130120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130120560 is about 11407.0399315510. The cubic root of 130120560 is about 506.7362516001.

Adding to 130120560 its reverse (65021031), we get a palindrome (195141591).

The spelling of 130120560 in words is "one hundred thirty million, one hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 107 108 120 135 144 180 214 216 240 270 321 360 428 432 535 540 563 642 720 856 963 1070 1080 1126 1284 1605 1689 1712 1926 2140 2160 2252 2568 2815 2889 3210 3378 3852 4280 4504 4815 5067 5136 5630 5778 6420 6756 7704 8445 8560 9008 9630 10134 11260 11556 12840 13512 14445 15201 15408 16890 19260 20268 22520 23112 25335 25680 27024 28890 30402 33780 38520 40536 45040 46224 50670 57780 60241 60804 67560 76005 77040 81072 101340 115560 120482 121608 135120 152010 180723 202680 231120 240964 243216 301205 304020 361446 405360 481928 542169 602410 608040 722892 903615 963856 1084338 1204820 1216080 1445784 1626507 1807230 2168676 2409640 2710845 2891568 3253014 3614460 4337352 4819280 5421690 6506028 7228920 8132535 8674704 10843380 13012056 14457840 16265070 21686760 26024112 32530140 43373520 65060280 130120560