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130605560 = 235172937179
BaseRepresentation
bin1111100100011…
…10000111111000
3100002202110010222
413302032013320
5231413334220
620543155212
73144062141
oct762160770
9302673128
10130605560
11677a5988
12378a5b08
132109b2c7
14134baac8
15b6ece25
hex7c8e1f8

130605560 has 128 divisors (see below), whose sum is σ = 332424000. Its totient is φ = 45932544.

The previous prime is 130605547. The next prime is 130605571. The reversal of 130605560 is 65506031.

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, 729551 + ... + 729729.

Almost surely, 2130605560 is an apocalyptic number.

130605560 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 130605560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166212000).

130605560 is an abundant number, since it is smaller than the sum of its proper divisors (201818440).

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

130605560 is a wasteful number, since it uses less digits than its factorization.

130605560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 130605560 is about 11428.2789605434. The cubic root of 130605560 is about 507.3650591268.

The spelling of 130605560 in words is "one hundred thirty million, six hundred five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 29 34 37 40 58 68 74 85 116 136 145 148 170 179 185 232 290 296 340 358 370 493 580 629 680 716 740 895 986 1073 1160 1258 1432 1480 1790 1972 2146 2465 2516 3043 3145 3580 3944 4292 4930 5032 5191 5365 6086 6290 6623 7160 8584 9860 10382 10730 12172 12580 13246 15215 18241 19720 20764 21460 24344 25160 25955 26492 30430 33115 36482 41528 42920 51910 52984 60860 66230 72964 88247 91205 103820 112591 121720 132460 145928 176494 182410 192067 207640 225182 264920 352988 364820 384134 441235 450364 562955 705976 729640 768268 882470 900728 960335 1125910 1536536 1764940 1920670 2251820 3265139 3529880 3841340 4503640 6530278 7682680 13060556 16325695 26121112 32651390 65302780 130605560