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130303080 = 23345131307
BaseRepresentation
bin1111100010001…
…00010001101000
3100002012002020000
413301010101220
5231324144310
620532503000
73141362235
oct761042150
9302162200
10130303080
11676096a6
123777aa60
1320cc371b
141343c78c
15b68d4c0
hex7c44468

130303080 has 160 divisors (see below), whose sum is σ = 442743840. Its totient is φ = 34369920.

The previous prime is 130303067. The next prime is 130303099. The reversal of 130303080 is 80303031.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424287 + ... + 424593.

It is an arithmetic number, because the mean of its divisors is an integer number (2767149).

Almost surely, 2130303080 is an apocalyptic number.

130303080 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 130303080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221371920).

130303080 is an abundant number, since it is smaller than the sum of its proper divisors (312440760).

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

130303080 is a wasteful number, since it uses less digits than its factorization.

130303080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130303080 is about 11415.0374506613. The cubic root of 130303080 is about 506.9730737424.

It can be divided in two parts, 13030 and 3080, that added together give a triangular number (16110 = T179).

The spelling of 130303080 in words is "one hundred thirty million, three hundred three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 131 135 162 180 216 262 270 307 324 360 393 405 524 540 614 648 655 786 810 921 1048 1080 1179 1228 1310 1535 1572 1620 1842 1965 2358 2456 2620 2763 3070 3144 3240 3537 3684 3930 4605 4716 5240 5526 5895 6140 7074 7368 7860 8289 9210 9432 10611 11052 11790 12280 13815 14148 15720 16578 17685 18420 21222 22104 23580 24867 27630 28296 33156 35370 36840 40217 41445 42444 47160 49734 53055 55260 66312 70740 80434 82890 84888 99468 106110 110520 120651 124335 141480 160868 165780 198936 201085 212220 241302 248670 321736 331560 361953 402170 424440 482604 497340 603255 723906 804340 965208 994680 1085859 1206510 1447812 1608680 1809765 2171718 2413020 2895624 3257577 3619530 4343436 4826040 5429295 6515154 7239060 8686872 10858590 13030308 14478120 16287885 21717180 26060616 32575770 43434360 65151540 130303080