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6628240 = 245292857
BaseRepresentation
bin11001010010001110010000
3110110202020101
4121102032100
53144100430
6354022144
7110224213
oct31221620
913422211
106628240
113817993
122277954
1314b0c48
14c4777a
158addca
hex652390

6628240 has 40 divisors (see below), whose sum is σ = 15947640. Its totient is φ = 2558976.

The previous prime is 6628201. The next prime is 6628247. The reversal of 6628240 is 428266.

It can be written as a sum of positive squares in 4 ways, for example, as 1115136 + 5513104 = 1056^2 + 2348^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6628199 and 6628208.

It is not an unprimeable number, because it can be changed into a prime (6628247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892 + ... + 3748.

It is an arithmetic number, because the mean of its divisors is an integer number (398691).

Almost surely, 26628240 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 6628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973820).

6628240 is an abundant number, since it is smaller than the sum of its proper divisors (9319400).

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

6628240 is a wasteful number, since it uses less digits than its factorization.

6628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 6628240 is about 2574.5368515521. The cubic root of 6628240 is about 187.8448999938.

The spelling of 6628240 in words is "six million, six hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2857 5714 11428 14285 22856 28570 45712 57140 82853 114280 165706 228560 331412 414265 662824 828530 1325648 1657060 3314120 6628240