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6730128 = 2436577
BaseRepresentation
bin11001101011000110010000
3110122221000000
4121223012100
53210331003
6400130000
7111130236
oct31530620
913587000
106730128
113887499
122306900
131518432
14c72956
158ce1a3
hex66b190

6730128 has 70 divisors (see below), whose sum is σ = 19584374. Its totient is φ = 2239488.

The previous prime is 6730121. The next prime is 6730153. The reversal of 6730128 is 8210376.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 11664 = 2592^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6730121) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11376 + ... + 11952.

Almost surely, 26730128 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 6730128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9792187).

6730128 is an abundant number, since it is smaller than the sum of its proper divisors (12854246).

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

6730128 is an equidigital number, since it uses as much as digits as its factorization.

6730128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 6730128 is about 2594.2490242843. The cubic root of 6730128 is about 188.8025148090.

The spelling of 6730128 in words is "six million, seven hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 577 648 729 972 1154 1296 1458 1731 1944 2308 2916 3462 3888 4616 5193 5832 6924 9232 10386 11664 13848 15579 20772 27696 31158 41544 46737 62316 83088 93474 124632 140211 186948 249264 280422 373896 420633 560844 747792 841266 1121688 1682532 2243376 3365064 6730128