Search a number
-
+
130721160 = 233517139461
BaseRepresentation
bin1111100101010…
…10010110001000
3100002222022201110
413302222112020
5231431034120
620545450320
73145053153
oct762522610
9302868643
10130721160
1167874819
12379409a0
132110bacb
141350ac9a
15b7222e0
hex7caa588

130721160 has 128 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 32501760.

The previous prime is 130721131. The next prime is 130721189. The reversal of 130721160 is 61127031.

It is an interprime number because it is at equal distance from previous prime (130721131) and next prime (130721189).

It is an unprimeable number.

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, 283330 + ... + 283790.

It is an arithmetic number, because the mean of its divisors is an integer number (3274425).

Almost surely, 2130721160 is an apocalyptic number.

130721160 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 130721160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

130721160 is an abundant number, since it is smaller than the sum of its proper divisors (288405240).

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

130721160 is a wasteful number, since it uses less digits than its factorization.

130721160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 130721160 is about 11433.3354713312. The cubic root of 130721160 is about 507.5147059082.

Adding to 130721160 its reverse (61127031), we get a palindrome (191848191).

The spelling of 130721160 in words is "one hundred thirty million, seven hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 139 170 204 255 278 340 408 417 461 510 556 680 695 834 922 1020 1112 1383 1390 1668 1844 2040 2085 2305 2363 2766 2780 3336 3688 4170 4610 4726 5532 5560 6915 7089 7837 8340 9220 9452 11064 11815 13830 14178 15674 16680 18440 18904 23511 23630 27660 28356 31348 35445 39185 47022 47260 55320 56712 62696 64079 70890 78370 94044 94520 117555 128158 141780 156740 188088 192237 235110 256316 283560 313480 320395 384474 470220 512632 640790 768948 940440 961185 1089343 1281580 1537896 1922370 2178686 2563160 3268029 3844740 4357372 5446715 6536058 7689480 8714744 10893430 13072116 16340145 21786860 26144232 32680290 43573720 65360580 130721160