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137666306 = 21722943191
BaseRepresentation
bin10000011010010…
…01111100000010
3100121001011200002
420031021330002
5240220310211
621354400002
73261100331
oct1015117402
9317034602
10137666306
1170788808
123a130002
13226a106b
14143d7d18
15c14503b
hex8349f02

137666306 has 48 divisors (see below), whose sum is σ = 233418240. Its totient is φ = 60775680.

The previous prime is 137666303. The next prime is 137666311. The reversal of 137666306 is 603666731.

It is a self number, because there is not a number n which added to its sum of digits gives 137666306.

It is not an unprimeable number, because it can be changed into a prime (137666303) 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, 720671 + ... + 720861.

It is an arithmetic number, because the mean of its divisors is an integer number (4862880).

Almost surely, 2137666306 is an apocalyptic number.

137666306 is a deficient number, since it is larger than the sum of its proper divisors (95751934).

137666306 is a wasteful number, since it uses less digits than its factorization.

137666306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 137666306 is about 11733.1285682890. The cubic root of 137666306 is about 516.3480640434.

The spelling of 137666306 in words is "one hundred thirty-seven million, six hundred sixty-six thousand, three hundred six".

Divisors: 1 2 17 29 34 43 58 86 191 289 382 493 578 731 986 1247 1462 2494 3247 5539 6494 8213 8381 11078 12427 16426 16762 21199 24854 42398 55199 94163 110398 139621 188326 238177 279242 360383 476354 720766 1600771 2373557 3201542 4049009 4747114 8098018 68833153 137666306