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4128684 = 2237232137
BaseRepresentation
bin1111101111111110101100
321202202111020
433233332230
52024104214
6224254140
750043660
oct17577654
97682436
104128684
11236aa3a
121471350
13b17311
147968a0
155684a9
hex3effac

4128684 has 48 divisors (see below), whose sum is σ = 11493888. Its totient is φ = 1127808.

The previous prime is 4128623. The next prime is 4128689. The reversal of 4128684 is 4868214.

It is not an unprimeable number, because it can be changed into a prime (4128689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864 + ... + 3000.

It is an arithmetic number, because the mean of its divisors is an integer number (239456).

Almost surely, 24128684 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 4128684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5746944).

4128684 is an abundant number, since it is smaller than the sum of its proper divisors (7365204).

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

4128684 is a wasteful number, since it uses less digits than its factorization.

4128684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2172 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4128684 is about 2031.9163368604. The cubic root of 4128684 is about 160.4244459562.

The spelling of 4128684 in words is "four million, one hundred twenty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 2137 4274 6411 8548 12822 14959 25644 29918 44877 49151 59836 89754 98302 147453 179508 196604 294906 344057 589812 688114 1032171 1376228 2064342 4128684