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130132352 = 277311467
BaseRepresentation
bin1111100000110…
…10100110000000
3100001212102000202
413300122212000
5231303213402
620525104332
73140051420
oct760324600
9301772022
10130132352
11675023a9
12376b80a8
1320c63abc
14133d6480
15b657b02
hex7c1a980

130132352 has 64 divisors (see below), whose sum is σ = 297872640. Its totient is φ = 55472640.

The previous prime is 130132333. The next prime is 130132357. The reversal of 130132352 is 253231031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130132357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278423 + ... + 278889.

It is an arithmetic number, because the mean of its divisors is an integer number (4654260).

Almost surely, 2130132352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936320).

130132352 is an abundant number, since it is smaller than the sum of its proper divisors (167740288).

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

130132352 is an equidigital number, since it uses as much as digits as its factorization.

130132352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 130132352 is about 11407.5567936346. The cubic root of 130132352 is about 506.7515585672.

Adding to 130132352 its reverse (253231031), we get a palindrome (383363383).

The spelling of 130132352 in words is "one hundred thirty million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 311 448 467 622 896 934 1244 1868 2177 2488 3269 3736 4354 4976 6538 7472 8708 9952 13076 14944 17416 19904 26152 29888 34832 39808 52304 59776 69664 104608 139328 145237 209216 278656 290474 418432 580948 1016659 1161896 2033318 2323792 4066636 4647584 8133272 9295168 16266544 18590336 32533088 65066176 130132352