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130516479 = 32311313571
BaseRepresentation
bin1111100011110…
…00010111111111
3100002120220221200
413301320113333
5231403011404
620541230543
73143241342
oct761702777
9302526850
10130516479
1167744a65
1237862453
13210698b2
1413496459
15b6d1839
hex7c785ff

130516479 has 24 divisors (see below), whose sum is σ = 196145664. Its totient is φ = 83538000.

The previous prime is 130516471. The next prime is 130516493. The reversal of 130516479 is 974615031.

130516479 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 1 + 647 + 9 = 666.

It is not a de Polignac number, because 130516479 - 23 = 130516471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130516471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34764 + ... + 38334.

It is an arithmetic number, because the mean of its divisors is an integer number (8172736).

Almost surely, 2130516479 is an apocalyptic number.

130516479 is a deficient number, since it is larger than the sum of its proper divisors (65629185).

130516479 is a wasteful number, since it uses less digits than its factorization.

130516479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 130516479 is about 11424.3809022634. The cubic root of 130516479 is about 507.2496815315.

The spelling of 130516479 in words is "one hundred thirty million, five hundred sixteen thousand, four hundred seventy-nine".

Divisors: 1 3 9 31 93 131 279 393 1179 3571 4061 10713 12183 32139 36549 110701 332103 467801 996309 1403403 4210209 14501831 43505493 130516479