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130585160 = 23517192037
BaseRepresentation
bin1111100100010…
…01001001001000
3100002201102011102
413302021021020
5231412211120
620542520532
73143645516
oct762111110
9302642142
10130585160
1167791622
1237896148
1321091c34
14134b34b6
15b6e6d75
hex7c89248

130585160 has 32 divisors (see below), whose sum is σ = 311101560. Its totient is φ = 49161216.

The previous prime is 130585159. The next prime is 130585181. The reversal of 130585160 is 61585031.

It can be written as a sum of positive squares in 4 ways, for example, as 99960004 + 30625156 = 9998^2 + 5534^2 .

It is a nialpdrome in base 8.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 95339 + ... + 96698.

Almost surely, 2130585160 is an apocalyptic number.

130585160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130585160 is an abundant number, since it is smaller than the sum of its proper divisors (180516400).

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

130585160 is a wasteful number, since it uses less digits than its factorization.

130585160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192065 (or 192061 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 130585160 is about 11427.3864028482. The cubic root of 130585160 is about 507.3386417059.

The spelling of 130585160 in words is "one hundred thirty million, five hundred eighty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 192037 384074 768148 960185 1536296 1920370 3264629 3840740 6529258 7681480 13058516 16323145 26117032 32646290 65292580 130585160