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138786130 = 25721716661
BaseRepresentation
bin10000100010110…
…11010101010010
3100200011001210001
420101123111102
5241012124010
621434400214
73303443200
oct1021332522
9320131701
10138786130
117138308a
123a59006a
13229a3992
141460a070
15c2b6c3a
hex845b552

138786130 has 48 divisors (see below), whose sum is σ = 307713816. Its totient is φ = 44782080.

The previous prime is 138786121. The next prime is 138786157. The reversal of 138786130 is 31687831.

138786130 is a nontrivial binomial coefficient, being equal to C(16661, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 124970041 + 13816089 = 11179^2 + 3717^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138786130.

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, 1 + ... + 16660.

Almost surely, 2138786130 is an apocalyptic number.

138786130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138786130 is the 16660-th triangular number.

138786130 is the 5554-th centered nonagonal number.

138786130 is an abundant number, since it is smaller than the sum of its proper divisors (168927686).

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

138786130 is a wasteful number, since it uses less digits than its factorization.

138786130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16699 (or 16692 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 138786130 is about 11780.7525226532. The cubic root of 138786130 is about 517.7443345107.

The spelling of 138786130 in words is "one hundred thirty-eight million, seven hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 490 595 833 1190 1666 4165 8330 16661 33322 83305 116627 166610 233254 283237 566474 583135 816389 1166270 1416185 1632778 1982659 2832370 3965318 4081945 8163890 9913295 13878613 19826590 27757226 69393065 138786130