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130132440 = 233351011193
BaseRepresentation
bin1111100000110…
…10100111011000
3100001212102011000
413300122213120
5231303214230
620525105000
73140051604
oct760324730
9301772130
10130132440
1167502479
12376b8160
1320c63b59
14133d6504
15b657b60
hex7c1a9d8

130132440 has 128 divisors (see below), whose sum is σ = 438436800. Its totient is φ = 34329600.

The previous prime is 130132439. The next prime is 130132447. The reversal of 130132440 is 44231031.

130132440 is a `hidden beast` number, since 1 + 301 + 324 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130132447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108484 + ... + 109676.

Almost surely, 2130132440 is an apocalyptic number.

130132440 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 130132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219218400).

130132440 is an abundant number, since it is smaller than the sum of its proper divisors (308304360).

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

130132440 is a wasteful number, since it uses less digits than its factorization.

130132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130132440 is about 11407.5606507263. The cubic root of 130132440 is about 506.7516727948.

Adding to 130132440 its reverse (44231031), we get a palindrome (174363471).

The spelling of 130132440 in words is "one hundred thirty million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 505 540 606 808 909 1010 1080 1193 1212 1515 1818 2020 2386 2424 2727 3030 3579 3636 4040 4545 4772 5454 5965 6060 7158 7272 9090 9544 10737 10908 11930 12120 13635 14316 17895 18180 21474 21816 23860 27270 28632 32211 35790 36360 42948 47720 53685 54540 64422 71580 85896 107370 109080 120493 128844 143160 161055 214740 240986 257688 322110 361479 429480 481972 602465 644220 722958 963944 1084437 1204930 1288440 1445916 1807395 2168874 2409860 2891832 3253311 3614790 4337748 4819720 5422185 6506622 7229580 8675496 10844370 13013244 14459160 16266555 21688740 26026488 32533110 43377480 65066220 130132440