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130050480 = 24357199389
BaseRepresentation
bin1111100000001…
…10100110110000
3100001201020201110
413300012212300
5231243103410
620523233320
73136260630
oct760064660
9301636643
10130050480
116745693a
1237678840
1320c35761
14133b46c0
15b63d720
hex7c069b0

130050480 has 160 divisors (see below), whose sum is σ = 464256000. Its totient is φ = 29500416.

The previous prime is 130050469. The next prime is 130050509. The reversal of 130050480 is 84050031.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 334126 + ... + 334514.

It is an arithmetic number, because the mean of its divisors is an integer number (2901600).

Almost surely, 2130050480 is an apocalyptic number.

130050480 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 130050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128000).

130050480 is an abundant number, since it is smaller than the sum of its proper divisors (334205520).

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

130050480 is a wasteful number, since it uses less digits than its factorization.

130050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130050480 is about 11403.9677305752. The cubic root of 130050480 is about 506.6452630232.

The spelling of 130050480 in words is "one hundred thirty million, fifty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 199 210 240 280 336 389 398 420 560 597 778 796 840 995 1167 1194 1393 1556 1592 1680 1945 1990 2334 2388 2723 2786 2985 3112 3184 3890 3980 4179 4668 4776 5446 5572 5835 5970 6224 6965 7780 7960 8169 8358 9336 9552 10892 11144 11670 11940 13615 13930 15560 15920 16338 16716 18672 20895 21784 22288 23340 23880 27230 27860 31120 32676 33432 40845 41790 43568 46680 47760 54460 55720 65352 66864 77411 81690 83580 93360 108920 111440 130704 154822 163380 167160 217840 232233 309644 326760 334320 387055 464466 541877 619288 653520 774110 928932 1083754 1161165 1238576 1548220 1625631 1857864 2167508 2322330 2709385 3096440 3251262 3715728 4335016 4644660 5418770 6192880 6502524 8128155 8670032 9289320 10837540 13005048 16256310 18578640 21675080 26010096 32512620 43350160 65025240 130050480