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136383360 = 2735251283
BaseRepresentation
bin10000010000100…
…00101110000000
3100111121222210120
420020100232000
5234403231420
621311100240
73244145061
oct1010205600
9314558716
10136383360
116aa91923
1239811680
1322342119
1414182568
15be8ed40
hex8210b80

136383360 has 128 divisors (see below), whose sum is σ = 437996160. Its totient is φ = 36096000.

The previous prime is 136383337. The next prime is 136383383. The reversal of 136383360 is 63383631.

It is an interprime number because it is at equal distance from previous prime (136383337) and next prime (136383383).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481779 + ... + 482061.

It is an arithmetic number, because the mean of its divisors is an integer number (3421845).

Almost surely, 2136383360 is an apocalyptic number.

136383360 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 136383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218998080).

136383360 is an abundant number, since it is smaller than the sum of its proper divisors (301612800).

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

136383360 is a wasteful number, since it uses less digits than its factorization.

136383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 136383360 is about 11678.3286475420. The cubic root of 136383360 is about 514.7390640934.

The spelling of 136383360 in words is "one hundred thirty-six million, three hundred eighty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 251 283 320 384 480 502 566 640 753 849 960 1004 1132 1255 1415 1506 1698 1920 2008 2264 2510 2830 3012 3396 3765 4016 4245 4528 5020 5660 6024 6792 7530 8032 8490 9056 10040 11320 12048 13584 15060 16064 16980 18112 20080 22640 24096 27168 30120 32128 33960 36224 40160 45280 48192 54336 60240 67920 71033 80320 90560 96384 108672 120480 135840 142066 160640 181120 213099 240960 271680 284132 355165 426198 481920 543360 568264 710330 852396 1065495 1136528 1420660 1704792 2130990 2273056 2841320 3409584 4261980 4546112 5682640 6819168 8523960 9092224 11365280 13638336 17047920 22730560 27276672 34095840 45461120 68191680 136383360