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130267328 = 261727043
BaseRepresentation
bin1111100001110…
…11100011000000
3100002010021011212
413300323203000
5231322023303
620532025252
73141153062
oct760734300
9302107155
10130267328
1167594854
1237762228
1320cb0379
141342d732
15b682ad8
hex7c3b8c0

130267328 has 42 divisors (see below), whose sum is σ = 274638516. Its totient is φ = 61293568.

The previous prime is 130267327. The next prime is 130267349. The reversal of 130267328 is 823762031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 130267294 and 130267303.

It is not an unprimeable number, because it can be changed into a prime (130267327) 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 5 ways as a sum of consecutive naturals, for example, 14975 + ... + 22017.

Almost surely, 2130267328 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 130267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137319258).

130267328 is an abundant number, since it is smaller than the sum of its proper divisors (144371188).

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

130267328 is an equidigital number, since it uses as much as digits as its factorization.

130267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 130267328 is about 11413.4713387295. The cubic root of 130267328 is about 506.9267024689.

The spelling of 130267328 in words is "one hundred thirty million, two hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 7043 9248 14086 18496 28172 56344 112688 119731 225376 239462 450752 478924 957848 1915696 2035427 3831392 4070854 7662784 8141708 16283416 32566832 65133664 130267328