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5830240 = 255132803
BaseRepresentation
bin10110001111011001100000
3101222012120211
4112033121200
52443031430
6324543504
7100361533
oct26173140
911865524
105830240
113322389
121b51b94
131291960
14abaa1a
157a272a
hex58f660

5830240 has 48 divisors (see below), whose sum is σ = 14838768. Its totient is φ = 2151936.

The previous prime is 5830229. The next prime is 5830249. The reversal of 5830240 is 420385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5830249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679 + ... + 3481.

It is an arithmetic number, because the mean of its divisors is an integer number (309141).

Almost surely, 25830240 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 5830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419384).

5830240 is an abundant number, since it is smaller than the sum of its proper divisors (9008528).

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

5830240 is a wasteful number, since it uses less digits than its factorization.

5830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5830240 is about 2414.5889919405. The cubic root of 5830240 is about 179.9818911823.

The spelling of 5830240 in words is "five million, eight hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2803 5606 11212 14015 22424 28030 36439 44848 56060 72878 89696 112120 145756 182195 224240 291512 364390 448480 583024 728780 1166048 1457560 2915120 5830240