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136238760 = 2334576007
BaseRepresentation
bin10000001111011…
…01011010101000
3100111100122110000
420013231122220
5234334120020
621304023000
73243003360
oct1007553250
9314318400
10136238760
116a9a3219
1239761a60
13222c1368
14141459a0
15be62090
hex81ed6a8

136238760 has 160 divisors (see below), whose sum is σ = 523416960. Its totient is φ = 31135104.

The previous prime is 136238719. The next prime is 136238771. The reversal of 136238760 is 67832631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 19677 + ... + 25683.

It is an arithmetic number, because the mean of its divisors is an integer number (3271356).

Almost surely, 2136238760 is an apocalyptic number.

136238760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136238760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261708480).

136238760 is an abundant number, since it is smaller than the sum of its proper divisors (387178200).

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

136238760 is a wasteful number, since it uses less digits than its factorization.

136238760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 136238760 is about 11672.1360512976. The cubic root of 136238760 is about 514.5570829745.

The spelling of 136238760 in words is "one hundred thirty-six million, two hundred thirty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 6007 7560 11340 12014 18021 22680 24028 30035 36042 42049 48056 54063 60070 72084 84098 90105 108126 120140 126147 144168 162189 168196 180210 210245 216252 240280 252294 270315 324378 336392 360420 378441 420490 432504 486567 504588 540630 630735 648756 720840 756882 810945 840980 973134 1009176 1081260 1135323 1261470 1297512 1513764 1621890 1681960 1892205 1946268 2162520 2270646 2432835 2522940 3027528 3243780 3405969 3784410 3892536 4541292 4865670 5045880 5676615 6487560 6811938 7568820 9082584 9731340 11353230 13623876 15137640 17029845 19462680 22706460 27247752 34059690 45412920 68119380 136238760