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130960928 = 2572174
BaseRepresentation
bin1111100111001…
…00111000100000
3100010102111121202
413303210320200
5232011222203
620554540332
73150102200
oct763447040
9303374552
10130960928
1167a1897a
1237a376a8
1321193c97
1413570400
15b76d388
hex7ce4e20

130960928 has 90 divisors (see below), whose sum is σ = 318668931. Its totient is φ = 52824576.

The previous prime is 130960927. The next prime is 130960937. The reversal of 130960928 is 829069031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 126067984 + 4892944 = 11228^2 + 2212^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8092.

It is a junction number, because it is equal to n+sod(n) for n = 130960891 and 130960900.

It is not an unprimeable number, because it can be changed into a prime (130960927) 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 14 ways as a sum of consecutive naturals, for example, 7703576 + ... + 7703592.

Almost surely, 2130960928 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 130960928

130960928 is an abundant number, since it is smaller than the sum of its proper divisors (187708003).

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

130960928 is an frugal number, since it uses more digits than its factorization.

130960928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 130960928 is about 11443.8161467231. The cubic root of 130960928 is about 507.8248099069.

Multiplying 130960928 by its product of nonzero digits (23328), we get a square (3055056528384 = 17478722).

The spelling of 130960928 in words is "one hundred thirty million, nine hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 289 392 476 544 578 784 833 952 1156 1568 1666 1904 2023 2312 3332 3808 4046 4624 4913 6664 8092 9248 9826 13328 14161 16184 19652 26656 28322 32368 34391 39304 56644 64736 68782 78608 83521 113288 137564 157216 167042 226576 240737 275128 334084 453152 481474 550256 584647 668168 962948 1100512 1169294 1336336 1925896 2338588 2672672 3851792 4092529 4677176 7703584 8185058 9354352 16370116 18708704 32740232 65480464 130960928