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130727106 = 23219419323
BaseRepresentation
bin1111100101010…
…11110011000010
3100002222121212200
413302223303002
5231431231411
620545534030
73145106406
oct762536302
9302877780
10130727106
1167879234
1237944316
1321111723
141350d106
15b723e56
hex7cabcc2

130727106 has 48 divisors (see below), whose sum is σ = 305454240. Its totient is φ = 40271040.

The previous prime is 130727089. The next prime is 130727111. The reversal of 130727106 is 601727031.

It is a self number, because there is not a number n which added to its sum of digits gives 130727106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9361 + ... + 18683.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 2130727106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130727106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152727120).

130727106 is an abundant number, since it is smaller than the sum of its proper divisors (174727134).

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

130727106 is a wasteful number, since it uses less digits than its factorization.

130727106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 130727106 is about 11433.5954974802. The cubic root of 130727106 is about 507.5224007519.

The spelling of 130727106 in words is "one hundred thirty million, seven hundred twenty-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 2337 4674 7011 9323 14022 18646 27969 55938 83907 167814 177137 354274 382243 531411 764486 1062822 1146729 1594233 2293458 3188466 3440187 6880374 7262617 14525234 21787851 43575702 65363553 130727106