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136023120 = 243251711113
BaseRepresentation
bin10000001101110…
…00110001010000
3100110221200122100
420012320301100
5234310214440
621255240400
73241114602
oct1006706120
9313850570
10136023120
116a866202
1239679100
132224716c
14140cb172
15be1d230
hex81b8c50

136023120 has 120 divisors (see below), whose sum is σ = 483725736. Its totient is φ = 34136064.

The previous prime is 136023113. The next prime is 136023131. The reversal of 136023120 is 21320631.

136023120 is a `hidden beast` number, since 13 + 602 + 31 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 134374464 = 1284^2 + 11592^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136023093 and 136023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6684 + ... + 17796.

Almost surely, 2136023120 is an apocalyptic number.

136023120 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 136023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241862868).

136023120 is an abundant number, since it is smaller than the sum of its proper divisors (347702616).

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

136023120 is a wasteful number, since it uses less digits than its factorization.

136023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11149 (or 11140 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 136023120 is about 11662.8950093877. The cubic root of 136023120 is about 514.2854576718.

Adding to 136023120 its reverse (21320631), we get a palindrome (157343751).

The spelling of 136023120 in words is "one hundred thirty-six million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 11113 12240 22226 33339 44452 55565 66678 88904 100017 111130 133356 166695 177808 188921 200034 222260 266712 333390 377842 400068 444520 500085 533424 566763 666780 755684 800136 889040 944605 1000170 1133526 1333560 1511368 1600272 1700289 1889210 2000340 2267052 2667120 2833815 3022736 3400578 3778420 4000680 4534104 5667630 6801156 7556840 8001360 8501445 9068208 11335260 13602312 15113680 17002890 22670520 27204624 34005780 45341040 68011560 136023120