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130139328 = 26311431433
BaseRepresentation
bin1111100000111…
…00010011000000
3100001212202121010
413300130103000
5231303424303
620525200520
73140110644
oct760342300
9301782533
10130139328
1167507670
1237700140
1320c67027
14133d8c24
15b659c03
hex7c1c4c0

130139328 has 112 divisors (see below), whose sum is σ = 384633216. Its totient is φ = 38492160.

The previous prime is 130139311. The next prime is 130139329. The reversal of 130139328 is 823931031.

It is a junction number, because it is equal to n+sod(n) for n = 130139295 and 130139304.

It is not an unprimeable number, because it can be changed into a prime (130139329) 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 15 ways as a sum of consecutive naturals, for example, 90100 + ... + 91532.

Almost surely, 2130139328 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 130139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192316608).

130139328 is an abundant number, since it is smaller than the sum of its proper divisors (254493888).

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

130139328 is a wasteful number, since it uses less digits than its factorization.

130139328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 130139328 is about 11407.8625517667. The cubic root of 130139328 is about 506.7606135425.

The spelling of 130139328 in words is "one hundred thirty million, one hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 129 132 172 176 192 258 264 344 352 473 516 528 688 704 946 1032 1056 1376 1419 1433 1892 2064 2112 2752 2838 2866 3784 4128 4299 5676 5732 7568 8256 8598 11352 11464 15136 15763 17196 22704 22928 30272 31526 34392 45408 45856 47289 61619 63052 68784 90816 91712 94578 123238 126104 137568 184857 189156 246476 252208 275136 369714 378312 492952 504416 677809 739428 756624 985904 1008832 1355618 1478856 1513248 1971808 2033427 2711236 2957712 3026496 3943616 4066854 5422472 5915424 8133708 10844944 11830848 16267416 21689888 32534832 43379776 65069664 130139328