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130185248 = 2520172
BaseRepresentation
bin1111100001001…
…11100000100000
3100001222002120212
413300213200200
5231311411443
620530153252
73140361554
oct760474040
9301862525
10130185248
1167539116
1237722828
1320c81bbb
141340b864
15b668618
hex7c27820

130185248 has 18 divisors (see below), whose sum is σ = 256429341. Its totient is φ = 65060352.

The previous prime is 130185241. The next prime is 130185257. The reversal of 130185248 is 842581031.

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 2 ways, for example, as 112105744 + 18079504 = 10588^2 + 4252^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8068.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130185241) 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 2 ways as a sum of consecutive naturals, for example, 63536 + ... + 65552.

Almost surely, 2130185248 is an apocalyptic number.

It is an amenable number.

130185248 is a deficient number, since it is larger than the sum of its proper divisors (126244093).

130185248 is an frugal number, since it uses more digits than its factorization.

130185248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 130185248 is about 11409.8750212261. The cubic root of 130185248 is about 506.8202104665.

Multiplying 130185248 by its sum of digits (32), we get a square (4165927936 = 645442).

130185248 divided by its sum of digits (32) gives a square (4068289 = 20172).

The spelling of 130185248 in words is "one hundred thirty million, one hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 2017 4034 8068 16136 32272 64544 4068289 8136578 16273156 32546312 65092624 130185248