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128306000 = 245364153
BaseRepresentation
bin1111010010111…
…00101101010000
322221102121202002
413221130231100
5230321243000
620422013132
73115403654
oct751345520
9287377662
10128306000
1166475219
1236b771a8
1320774714
141307ca64
15b3e68d5
hex7a5cb50

128306000 has 40 divisors (see below), whose sum is σ = 310248744. Its totient is φ = 51321600.

The previous prime is 128305999. The next prime is 128306027. The reversal of 128306000 is 603821.

It can be written as a sum of positive squares in 4 ways, for example, as 2238016 + 126067984 = 1496^2 + 11228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30077 + ... + 34076.

Almost surely, 2128306000 is an apocalyptic number.

128306000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128306000 is an abundant number, since it is smaller than the sum of its proper divisors (181942744).

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

128306000 is an equidigital number, since it uses as much as digits as its factorization.

128306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64176 (or 64160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 128306000 is about 11327.2238434667. The cubic root of 128306000 is about 504.3697001921.

Adding to 128306000 its reverse (603821), we get a palindrome (128909821).

The spelling of 128306000 in words is "one hundred twenty-eight million, three hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 64153 128306 256612 320765 513224 641530 1026448 1283060 1603825 2566120 3207650 5132240 6415300 8019125 12830600 16038250 25661200 32076500 64153000 128306000