Search a number
-
+
130593000780 = 2232511367317957
BaseRepresentation
bin111100110011111110…
…0110000110101001100
3110111002020202210202200
41321213330300311030
54114423302011110
6135554341121500
712302134122414
oct1714774606514
9414066683680
10130593000780
1150425387420
12213873b9290
13c4129bc678
14646c14d644
1535e4e4c6c0
hex1e67f30d4c

130593000780 has 144 divisors (see below), whose sum is σ = 432285837984. Its totient is φ = 31648527360.

The previous prime is 130593000763. The next prime is 130593000793. The reversal of 130593000780 is 87000395031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7263562 + ... + 7281518.

It is an arithmetic number, because the mean of its divisors is an integer number (3001984986).

Almost surely, 2130593000780 is an apocalyptic number.

130593000780 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 130593000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216142918992).

130593000780 is an abundant number, since it is smaller than the sum of its proper divisors (301692837204).

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

130593000780 is a wasteful number, since it uses less digits than its factorization.

130593000780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21656 (or 21651 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 130593000780 in words is "one hundred thirty billion, five hundred ninety-three million, seven hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3673 7346 11019 14692 17957 18365 22038 33057 35914 36730 40403 44076 53871 55095 66114 71828 73460 80806 89785 107742 110190 121209 132228 161612 161613 165285 179570 197527 202015 215484 220380 242418 269355 323226 330570 359140 363627 395054 404030 484836 538710 592581 606045 646452 661140 727254 790108 808060 808065 987635 1077420 1185162 1212090 1454508 1616130 1777743 1818135 1975270 2370324 2424180 2962905 3232260 3555486 3636270 3950540 5925810 7110972 7272540 8888715 11851620 17777430 35554860 65956061 131912122 197868183 263824244 329780305 395736366 593604549 659560610 725516671 791472732 989340915 1187209098 1319121220 1451033342 1978681830 2176550013 2374418196 2902066684 2968022745 3627583355 3957363660 4353100026 5936045490 6529650039 7255166710 8706200052 10882750065 11872090980 13059300078 14510333420 21765500130 26118600156 32648250195 43531000260 65296500390 130593000780