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136659328 = 2713174831
BaseRepresentation
bin10000010010101…
…00000110000000
3100112011000100121
420021110012000
5234441044303
621321030024
73246404461
oct1011240600
9315130317
10136659328
11701601a3
1239925314
132240a910
1414214d68
15bee69bd
hex8254180

136659328 has 64 divisors (see below), whose sum is σ = 310504320. Its totient is φ = 59351040.

The previous prime is 136659319. The next prime is 136659329. The reversal of 136659328 is 823956631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136659329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25873 + ... + 30703.

It is an arithmetic number, because the mean of its divisors is an integer number (4851630).

Almost surely, 2136659328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155252160).

136659328 is an abundant number, since it is smaller than the sum of its proper divisors (173844992).

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

136659328 is a wasteful number, since it uses less digits than its factorization.

136659328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4863 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 136659328 is about 11690.1380659084. The cubic root of 136659328 is about 515.0860169894.

The spelling of 136659328 in words is "one hundred thirty-six million, six hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 272 416 442 544 832 884 1088 1664 1768 2176 3536 4831 7072 9662 14144 19324 28288 38648 62803 77296 82127 125606 154592 164254 251212 309184 328508 502424 618368 657016 1004848 1067651 1314032 2009696 2135302 2628064 4019392 4270604 5256128 8038784 8541208 10512256 17082416 34164832 68329664 136659328