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130584657 = 3726471373
BaseRepresentation
bin1111100100010…
…01000001010001
3100002201101110210
413302021001101
5231412202112
620542514333
73143644200
oct762110121
9302641423
10130584657
1167791205
12378959a9
1321091938
14134b3237
15b6e6b3c
hex7c89051

130584657 has 24 divisors (see below), whose sum is σ = 203000256. Its totient is φ = 74450208.

The previous prime is 130584653. The next prime is 130584661. The reversal of 130584657 is 756485031.

It is an interprime number because it is at equal distance from previous prime (130584653) and next prime (130584661).

It is not a de Polignac number, because 130584657 - 22 = 130584653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130584653) 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 23 ways as a sum of consecutive naturals, for example, 94423 + ... + 95795.

It is an arithmetic number, because the mean of its divisors is an integer number (8458344).

Almost surely, 2130584657 is an apocalyptic number.

It is an amenable number.

130584657 is a deficient number, since it is larger than the sum of its proper divisors (72415599).

130584657 is a wasteful number, since it uses less digits than its factorization.

130584657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 130584657 is about 11427.3643942950. The cubic root of 130584657 is about 507.3379903005.

The spelling of 130584657 in words is "one hundred thirty million, five hundred eighty-four thousand, six hundred fifty-seven".

Divisors: 1 3 7 21 49 147 647 1373 1941 4119 4529 9611 13587 28833 31703 67277 95109 201831 888331 2664993 6218317 18654951 43528219 130584657