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130601600 = 275240813
BaseRepresentation
bin1111100100011…
…01001010000000
3100002202020201022
413302031022000
5231413222400
620543125012
73144044453
oct762151200
9302666638
10130601600
11677a2a08
12378a3768
132109956c
14134b949a
15b6ebb85
hex7c8d280

130601600 has 48 divisors (see below), whose sum is σ = 322634670. Its totient is φ = 52239360.

The previous prime is 130601557. The next prime is 130601617. The reversal of 130601600 is 6106031.

It can be written as a sum of positive squares in 3 ways, for example, as 127418944 + 3182656 = 11288^2 + 1784^2 .

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 5 ways as a sum of consecutive naturals, for example, 17207 + ... + 23606.

Almost surely, 2130601600 is an apocalyptic number.

130601600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130601600 is an abundant number, since it is smaller than the sum of its proper divisors (192033070).

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

130601600 is an equidigital number, since it uses as much as digits as its factorization.

130601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40837 (or 40820 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 130601600 is about 11428.1057047964. The cubic root of 130601600 is about 507.3599312544.

Adding to 130601600 its reverse (6106031), we get a palindrome (136707631).

The spelling of 130601600 in words is "one hundred thirty million, six hundred one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 40813 81626 163252 204065 326504 408130 653008 816260 1020325 1306016 1632520 2040650 2612032 3265040 4081300 5224064 6530080 8162600 13060160 16325200 26120320 32650400 65300800 130601600