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8427240 = 23365172
BaseRepresentation
bin100000001001…
…011011101000
3120212011000000
4200021123220
54124132430
6500343000
7131426133
oct40113350
916764000
108427240
114836568
1229a4a60
131990a43
14119521a
15b16e60
hex8096e8

8427240 has 168 divisors, whose sum is σ = 30199590. Its totient is φ = 2115072.

The previous prime is 8427233. The next prime is 8427247. The reversal of 8427240 is 427248.

It is an interprime number because it is at equal distance from previous prime (8427233) and next prime (8427247).

It can be written as a sum of positive squares in 3 ways, for example, as 8191044 + 236196 = 2862^2 + 486^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8427247) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 495712 + ... + 495728.

Almost surely, 28427240 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 8427240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099795).

8427240 is an abundant number, since it is smaller than the sum of its proper divisors (21772350).

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

8427240 is a wasteful number, since it uses less digits than its factorization.

8427240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8427240 is about 2902.9708920346. The cubic root of 8427240 is about 203.4987694790.

The spelling of 8427240 in words is "eight million, four hundred twenty-seven thousand, two hundred forty".