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130445460 = 223255971173
BaseRepresentation
bin1111100011001…
…11000010010100
3100002110022112100
413301213002110
5231343223320
620535522100
73142524315
oct761470224
9302408470
10130445460
11676a6672
1237829330
1321043482
141347860c
15b6ba790
hex7c67094

130445460 has 144 divisors (see below), whose sum is σ = 410417280. Its totient is φ = 33519360.

The previous prime is 130445459. The next prime is 130445467. The reversal of 130445460 is 64544031.

It is a super-2 number, since 2×1304454602 = 34032036069223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130445467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 753934 + ... + 754106.

It is an arithmetic number, because the mean of its divisors is an integer number (2850120).

Almost surely, 2130445460 is an apocalyptic number.

130445460 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 130445460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205208640).

130445460 is an abundant number, since it is smaller than the sum of its proper divisors (279971820).

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

130445460 is a wasteful number, since it uses less digits than its factorization.

130445460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 130445460 is about 11421.2722583782. The cubic root of 130445460 is about 507.1576601984.

Adding to 130445460 its reverse (64544031), we get a palindrome (194989491).

It can be divided in two parts, 1304 and 45460, that added together give a palindrome (46764).

The spelling of 130445460 in words is "one hundred thirty million, four hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 71 90 118 142 173 177 180 213 236 284 295 346 354 355 426 519 531 590 639 692 708 710 852 865 885 1038 1062 1065 1180 1278 1420 1557 1730 1770 2076 2124 2130 2556 2595 2655 3114 3195 3460 3540 4189 4260 5190 5310 6228 6390 7785 8378 10207 10380 10620 12283 12567 12780 15570 16756 20414 20945 24566 25134 30621 31140 36849 37701 40828 41890 49132 50268 51035 61242 61415 62835 73698 75402 83780 91863 102070 110547 122484 122830 125670 147396 150804 153105 183726 184245 188505 204140 221094 245660 251340 306210 367452 368490 377010 442188 459315 552735 612420 724697 736980 754020 918630 1105470 1449394 1837260 2174091 2210940 2898788 3623485 4348182 6522273 7246970 8696364 10870455 13044546 14493940 21740910 26089092 32611365 43481820 65222730 130445460