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130607829 = 33111572801
BaseRepresentation
bin1111100100011…
…10101011010101
3100002202120021000
413302032223111
5231413422304
620543213513
73144101562
oct762165325
9302676230
10130607829
11677a7660
12378a7299
132109c351
14134bb869
15b6ed939
hex7c8ead5

130607829 has 32 divisors (see below), whose sum is σ = 212503680. Its totient is φ = 78624000.

The previous prime is 130607819. The next prime is 130607831. The reversal of 130607829 is 928706031.

It is not a de Polignac number, because 130607829 - 25 = 130607797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130607793 and 130607802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130607809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45229 + ... + 48029.

It is an arithmetic number, because the mean of its divisors is an integer number (6640740).

Almost surely, 2130607829 is an apocalyptic number.

It is an amenable number.

130607829 is a deficient number, since it is larger than the sum of its proper divisors (81895851).

130607829 is a wasteful number, since it uses less digits than its factorization.

130607829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130607829 is about 11428.3782314027. The cubic root of 130607829 is about 507.3679972474.

The spelling of 130607829 in words is "one hundred thirty million, six hundred seven thousand, eight hundred twenty-nine".

Divisors: 1 3 9 11 27 33 99 157 297 471 1413 1727 2801 4239 5181 8403 15543 25209 30811 46629 75627 92433 277299 439757 831897 1319271 3957813 4837327 11873439 14511981 43535943 130607829