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130425180 = 223523293259
BaseRepresentation
bin1111100011000…
…10000101011100
3100002102021201020
413301202011130
5231342101210
620535244140
73142411224
oct761420534
9302367636
10130425180
1167692406
1237819650
1321037182
1413471084
15b6b4770
hex7c6215c

130425180 has 96 divisors (see below), whose sum is σ = 394329600. Its totient is φ = 32110848.

The previous prime is 130425179. The next prime is 130425181. The reversal of 130425180 is 81524031.

It is an interprime number because it is at equal distance from previous prime (130425179) and next prime (130425181).

It is a self number, because there is not a number n which added to its sum of digits gives 130425180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130425181) 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 31 ways as a sum of consecutive naturals, for example, 38391 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (4107600).

Almost surely, 2130425180 is an apocalyptic number.

130425180 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 130425180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197164800).

130425180 is an abundant number, since it is smaller than the sum of its proper divisors (263904420).

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

130425180 is a wasteful number, since it uses less digits than its factorization.

130425180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 130425180 is about 11420.3844068403. The cubic root of 130425180 is about 507.1313766967.

The spelling of 130425180 in words is "one hundred thirty million, four hundred twenty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 29 30 46 58 60 69 87 92 115 116 138 145 174 230 276 290 345 348 435 460 580 667 690 870 1334 1380 1740 2001 2668 3259 3335 4002 6518 6670 8004 9777 10005 13036 13340 16295 19554 20010 32590 39108 40020 48885 65180 74957 94511 97770 149914 189022 195540 224871 283533 299828 374785 378044 449742 472555 567066 749570 899484 945110 1124355 1134132 1417665 1499140 1890220 2173753 2248710 2835330 4347506 4497420 5670660 6521259 8695012 10868765 13042518 21737530 26085036 32606295 43475060 65212590 130425180