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130747760 = 245112131039
BaseRepresentation
bin1111100101100…
…00110101110000
3100010000200012122
413302300311300
5231432412020
620550213412
73145223543
oct762606560
9303020178
10130747760
1167892800
1237954268
132111ac50
141351685a
15b72a125
hex7cb0d70

130747760 has 120 divisors (see below), whose sum is σ = 360185280. Its totient is φ = 43845120.

The previous prime is 130747741. The next prime is 130747763. The reversal of 130747760 is 67747031.

It is a self number, because there is not a number n which added to its sum of digits gives 130747760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130747763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125321 + ... + 126359.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2130747760 is an apocalyptic number.

130747760 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 130747760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).

130747760 is an abundant number, since it is smaller than the sum of its proper divisors (229437520).

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

130747760 is a wasteful number, since it uses less digits than its factorization.

130747760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The square root of 130747760 is about 11434.4986772486. The cubic root of 130747760 is about 507.5491277152.

The spelling of 130747760 in words is "one hundred thirty million, seven hundred forty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 121 130 143 176 208 220 242 260 286 440 484 520 572 605 715 880 968 1039 1040 1144 1210 1430 1573 1936 2078 2288 2420 2860 3146 4156 4840 5195 5720 6292 7865 8312 9680 10390 11429 11440 12584 13507 15730 16624 20780 22858 25168 27014 31460 41560 45716 54028 57145 62920 67535 83120 91432 108056 114290 125719 125840 135070 148577 182864 216112 228580 251438 270140 297154 457160 502876 540280 594308 628595 742885 914320 1005752 1080560 1188616 1257190 1485770 1634347 2011504 2377232 2514380 2971540 3268694 5028760 5943080 6537388 8171735 10057520 11886160 13074776 16343470 26149552 32686940 65373880 130747760