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130430640 = 24353147373
BaseRepresentation
bin1111100011000…
…11011010110000
3100002102120012110
413301203122300
5231342240030
620535325320
73142433154
oct761433260
9302376173
10130430640
116769651a
1237820840
13210397c2
1413473064
15b6b61b0
hex7c636b0

130430640 has 160 divisors (see below), whose sum is σ = 427401216. Its totient is φ = 32855040.

The previous prime is 130430639. The next prime is 130430683. The reversal of 130430640 is 46034031.

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, 349494 + ... + 349866.

Almost surely, 2130430640 is an apocalyptic number.

130430640 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 130430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213700608).

130430640 is an abundant number, since it is smaller than the sum of its proper divisors (296970576).

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

130430640 is a wasteful number, since it uses less digits than its factorization.

130430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130430640 is about 11420.6234505827. The cubic root of 130430640 is about 507.1384532921.

Adding to 130430640 its reverse (46034031), we get a palindrome (176464671).

The spelling of 130430640 in words is "one hundred thirty million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 47 48 60 62 80 93 94 120 124 141 155 186 188 235 240 248 282 310 372 373 376 465 470 496 564 620 705 744 746 752 930 940 1119 1128 1240 1410 1457 1488 1492 1860 1865 1880 2238 2256 2480 2820 2914 2984 3720 3730 3760 4371 4476 5595 5640 5828 5968 7285 7440 7460 8742 8952 11190 11280 11563 11656 14570 14920 17484 17531 17904 21855 22380 23126 23312 29140 29840 34689 34968 35062 43710 44760 46252 52593 57815 58280 69378 69936 70124 87420 87655 89520 92504 105186 115630 116560 138756 140248 173445 174840 175310 185008 210372 231260 262965 277512 280496 346890 349680 350620 420744 462520 525930 543461 555024 693780 701240 841488 925040 1051860 1086922 1387560 1402480 1630383 2103720 2173844 2717305 2775120 3260766 4207440 4347688 5434610 6521532 8151915 8695376 10869220 13043064 16303830 21738440 26086128 32607660 43476880 65215320 130430640