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136685934 = 23371171463
BaseRepresentation
bin10000010010110…
…10100101101110
3100112012100212000
420021122211232
5234442422214
621321353130
73246545160
oct1011324556
9315170760
10136685934
1170179190
12399387a6
1322419a68
1414220930
15beee809
hex825a96e

136685934 has 128 divisors (see below), whose sum is σ = 384860160. Its totient is φ = 34927200.

The previous prime is 136685929. The next prime is 136685947. The reversal of 136685934 is 439586631.

It is a self number, because there is not a number n which added to its sum of digits gives 136685934.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294987 + ... + 295449.

It is an arithmetic number, because the mean of its divisors is an integer number (3006720).

Almost surely, 2136685934 is an apocalyptic number.

136685934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136685934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192430080).

136685934 is an abundant number, since it is smaller than the sum of its proper divisors (248174226).

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

136685934 is a wasteful number, since it uses less digits than its factorization.

136685934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 136685934 is about 11691.2759782669. The cubic root of 136685934 is about 515.1194419289.

The spelling of 136685934 in words is "one hundred thirty-six million, six hundred eighty-five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 71 77 99 126 142 154 189 198 213 231 297 378 426 462 463 497 594 639 693 781 926 994 1278 1386 1389 1491 1562 1917 2079 2343 2778 2982 3241 3834 4158 4167 4473 4686 5093 5467 6482 7029 8334 8946 9723 10186 10934 12501 13419 14058 15279 16401 19446 21087 25002 26838 29169 30558 32802 32873 35651 42174 45837 49203 58338 65746 71302 87507 91674 98406 98619 106953 137511 147609 175014 197238 213906 230111 275022 295218 295857 320859 361603 460222 591714 641718 690333 723206 887571 962577 1084809 1380666 1775142 1925154 2070999 2169618 2531221 3254427 4141998 5062442 6212997 6508854 7593663 9763281 12425994 15187326 19526562 22780989 45561978 68342967 136685934