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130585005 = 32519163937
BaseRepresentation
bin1111100100010…
…01000110101101
3100002201101221200
413302021012231
5231412210010
620542520113
73143645205
oct762110655
9302641850
10130585005
11677914a1
1237896039
1321091b45
14134b3405
15b6e6cc0
hex7c891ad

130585005 has 48 divisors (see below), whose sum is σ = 239977920. Its totient is φ = 65505024.

The previous prime is 130585001. The next prime is 130585031. The reversal of 130585005 is 500585031.

It is not a de Polignac number, because 130585005 - 22 = 130585001 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130585005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130585001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138897 + ... + 139833.

It is an arithmetic number, because the mean of its divisors is an integer number (4999540).

Almost surely, 2130585005 is an apocalyptic number.

130585005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130585005 is a deficient number, since it is larger than the sum of its proper divisors (109392915).

130585005 is a wasteful number, since it uses less digits than its factorization.

130585005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 130585005 is about 11427.3796208930. The cubic root of 130585005 is about 507.3384409748.

The spelling of 130585005 in words is "one hundred thirty million, five hundred eighty-five thousand, five".

Divisors: 1 3 5 9 15 19 45 57 95 163 171 285 489 815 855 937 1467 2445 2811 3097 4685 7335 8433 9291 14055 15485 17803 27873 42165 46455 53409 89015 139365 152731 160227 267045 458193 763655 801135 1374579 2290965 2901889 6872895 8705667 14509445 26117001 43528335 130585005