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129300608 = 271815581
BaseRepresentation
bin1111011010011…
…11100010000000
3100000022011002102
413231033202000
5231100104413
620455205532
73130015463
oct755174200
9300264072
10129300608
1166a94508
12373768a8
1320a32348
141325b2da
15b541458
hex7b4f880

129300608 has 32 divisors (see below), whose sum is σ = 259060620. Its totient is φ = 64281600.

The previous prime is 129300601. The next prime is 129300617. The reversal of 129300608 is 806003921.

It can be written as a sum of positive squares in 2 ways, for example, as 106337344 + 22963264 = 10312^2 + 4792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (129300601) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 20378 + ... + 25958.

Almost surely, 2129300608 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 129300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129530310).

129300608 is an abundant number, since it is smaller than the sum of its proper divisors (129760012).

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

129300608 is an equidigital number, since it uses as much as digits as its factorization.

129300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 129300608 is about 11371.0425203673. The cubic root of 129300608 is about 505.6696120037.

The spelling of 129300608 in words is "one hundred twenty-nine million, three hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2896 5581 5792 11162 11584 22324 23168 44648 89296 178592 357184 714368 1010161 2020322 4040644 8081288 16162576 32325152 64650304 129300608