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130616625 = 353794409
BaseRepresentation
bin1111100100100…
…00110100110001
3100002210000022210
413302100310301
5231414213000
620543322333
73144136326
oct762206461
9302700283
10130616625
1167803227
12378b03a9
13210a3359
14134c0b4d
15b701350
hex7c90d31

130616625 has 32 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 68764800.

The previous prime is 130616599. The next prime is 130616639. The reversal of 130616625 is 526616031.

It is not a de Polignac number, because 130616625 - 26 = 130616561 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130616592 and 130616601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27421 + ... + 31829.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2130616625 is an apocalyptic number.

130616625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130616625 is a deficient number, since it is larger than the sum of its proper divisors (89530575).

130616625 is an equidigital number, since it uses as much as digits as its factorization.

130616625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 130616625 is about 11428.7630564292. The cubic root of 130616625 is about 507.3793868370.

The spelling of 130616625 in words is "one hundred thirty million, six hundred sixteen thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 79 125 237 375 395 1185 1975 4409 5925 9875 13227 22045 29625 66135 110225 330675 348311 551125 1044933 1653375 1741555 5224665 8707775 26123325 43538875 130616625