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130730460 = 223571072909
BaseRepresentation
bin1111100101011…
…00100111011100
3100002222210110220
413302230213130
5231431333320
620550001340
73145122240
oct762544734
9302883426
10130730460
1167880803
1237946250
1321113103
1413510420
15b724e40
hex7cac9dc

130730460 has 96 divisors (see below), whose sum is σ = 422392320. Its totient is φ = 29591808.

The previous prime is 130730417. The next prime is 130730471. The reversal of 130730460 is 64037031.

It is a self number, because there is not a number n which added to its sum of digits gives 130730460.

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, 43486 + ... + 46394.

It is an arithmetic number, because the mean of its divisors is an integer number (4399920).

Almost surely, 2130730460 is an apocalyptic number.

130730460 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 130730460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196160).

130730460 is an abundant number, since it is smaller than the sum of its proper divisors (291661860).

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

130730460 is a wasteful number, since it uses less digits than its factorization.

130730460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 130730460 is about 11433.7421695611. The cubic root of 130730460 is about 507.5267411310.

Adding to 130730460 its reverse (64037031), we get a palindrome (194767491).

The spelling of 130730460 in words is "one hundred thirty million, seven hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 107 140 210 214 321 420 428 535 642 749 1070 1284 1498 1605 2140 2247 2909 2996 3210 3745 4494 5818 6420 7490 8727 8988 11235 11636 14545 14980 17454 20363 22470 29090 34908 40726 43635 44940 58180 61089 81452 87270 101815 122178 174540 203630 244356 305445 311263 407260 610890 622526 933789 1221780 1245052 1556315 1867578 2178841 3112630 3735156 4357682 4668945 6225260 6536523 8715364 9337890 10894205 13073046 18675780 21788410 26146092 32682615 43576820 65365230 130730460