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6290320 = 245611289
BaseRepresentation
bin10111111111101110010000
3102211120200211
4113333232100
53102242240
6342453504
7104316061
oct27775620
912746624
106290320
113607013
122134294
1313c31aa
14b9a568
15843bea
hex5ffb90

6290320 has 40 divisors (see below), whose sum is σ = 14876280. Its totient is φ = 2472960.

The previous prime is 6290309. The next prime is 6290327. The reversal of 6290320 is 230926.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 6071296 = 468^2 + 2464^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6290291 and 6290300.

It is not an unprimeable number, because it can be changed into a prime (6290327) 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, 4236 + ... + 5524.

It is an arithmetic number, because the mean of its divisors is an integer number (371907).

Almost surely, 26290320 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 6290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438140).

6290320 is an abundant number, since it is smaller than the sum of its proper divisors (8585960).

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

6290320 is a wasteful number, since it uses less digits than its factorization.

6290320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 6290320 is about 2508.0510361633. The cubic root of 6290320 is about 184.5968332499.

The spelling of 6290320 in words is "six million, two hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 1289 2440 2578 4880 5156 6445 10312 12890 20624 25780 51560 78629 103120 157258 314516 393145 629032 786290 1258064 1572580 3145160 6290320