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137086470 = 23251789599
BaseRepresentation
bin10000010101111…
…00011000000110
3100112221201021200
420022330120012
5240043231340
621334123330
73253134003
oct1012743006
9315851250
10137086470
1170422104
1239ab0546
132252a171
14142c68aa
15c07d330
hex82bc606

137086470 has 48 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 34405632.

The previous prime is 137086457. The next prime is 137086471. The reversal of 137086470 is 74680731.

137086470 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 8 + 647 + 0 = 666.

137086470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137086471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43270 + ... + 46329.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2137086470 is an apocalyptic number.

137086470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137086470 is an abundant number, since it is smaller than the sum of its proper divisors (240308730).

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

137086470 is a wasteful number, since it uses less digits than its factorization.

137086470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89629 (or 89626 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137086470 is about 11708.3931433822. The cubic root of 137086470 is about 515.6221092951.

The spelling of 137086470 in words is "one hundred thirty-seven million, eighty-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 89599 179198 268797 447995 537594 806391 895990 1343985 1523183 1612782 2687970 3046366 4031955 4569549 7615915 8063910 9139098 13708647 15231830 22847745 27417294 45695490 68543235 137086470