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128306745 = 3257258189
BaseRepresentation
bin1111010010111…
…00111000111001
322221102122202200
413221130320321
5230321303440
620422020413
73115406100
oct751347071
9287378680
10128306745
1166475836
1236b77709
1320774b68
141307d037
15b3e6c30
hex7a5ce39

128306745 has 36 divisors (see below), whose sum is σ = 258712740. Its totient is φ = 58653504.

The previous prime is 128306743. The next prime is 128306747. The reversal of 128306745 is 547603821.

It is an interprime number because it is at equal distance from previous prime (128306743) and next prime (128306747).

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 101183481 = 5208^2 + 10059^2 .

It is not a de Polignac number, because 128306745 - 21 = 128306743 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128306743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26890 + ... + 31299.

It is an arithmetic number, because the mean of its divisors is an integer number (7186465).

Almost surely, 2128306745 is an apocalyptic number.

128306745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128306745 is an abundant number, since it is smaller than the sum of its proper divisors (130405995).

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

128306745 is a wasteful number, since it uses less digits than its factorization.

128306745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58214 (or 58204 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 128306745 is about 11327.2567287936. The cubic root of 128306745 is about 504.3706763862.

The spelling of 128306745 in words is "one hundred twenty-eight million, three hundred six thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 58189 174567 290945 407323 523701 872835 1221969 2036615 2618505 2851261 3665907 6109845 8553783 14256305 18329535 25661349 42768915 128306745