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136643000 = 23531323457
BaseRepresentation
bin10000010010100…
…00000110111000
3100112010011221212
420021100012320
5234440034000
621320422252
73246306044
oct1011200670
9315104855
10136643000
11701499aa
1239917988
1322403360
141420d024
15bee1c35
hex82501b8

136643000 has 128 divisors (see below), whose sum is σ = 360097920. Its totient is φ = 48153600.

The previous prime is 136642981. The next prime is 136643011. The reversal of 136643000 is 346631.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298772 + ... + 299228.

It is an arithmetic number, because the mean of its divisors is an integer number (2813265).

Almost surely, 2136643000 is an apocalyptic number.

136643000 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 136643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048960).

136643000 is an abundant number, since it is smaller than the sum of its proper divisors (223454920).

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

136643000 is a wasteful number, since it uses less digits than its factorization.

136643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 136643000 is about 11689.4396786159. The cubic root of 136643000 is about 515.0655020842.

Adding to 136643000 its reverse (346631), we get a palindrome (136989631).

The spelling of 136643000 in words is "one hundred thirty-six million, six hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 125 130 184 200 230 250 260 299 325 457 460 500 520 575 598 650 914 920 1000 1150 1196 1300 1495 1625 1828 2285 2300 2392 2600 2875 2990 3250 3656 4570 4600 5750 5941 5980 6500 7475 9140 10511 11425 11500 11882 11960 13000 14950 18280 21022 22850 23000 23764 29705 29900 37375 42044 45700 47528 52555 57125 59410 59800 74750 84088 91400 105110 114250 118820 136643 148525 149500 210220 228500 237640 262775 273286 297050 299000 420440 457000 525550 546572 594100 683215 742625 1051100 1093144 1188200 1313875 1366430 1485250 2102200 2627750 2732860 2970500 3416075 5255500 5465720 5941000 6832150 10511000 13664300 17080375 27328600 34160750 68321500 136643000