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8435420 = 225789677
BaseRepresentation
bin100000001011…
…011011011100
3120212120012222
4200023123130
54124413140
6500444512
7131462030
oct40133334
916776188
108435420
114841724
1229a9738
131994696
1411981c0
15b195b5
hex80b6dc

8435420 has 48 divisors (see below), whose sum is σ = 20502720. Its totient is φ = 2855424.

The previous prime is 8435389. The next prime is 8435431. The reversal of 8435420 is 245348.

It is a self number, because there is not a number n which added to its sum of digits gives 8435420.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12122 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (427140).

Almost surely, 28435420 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 8435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251360).

8435420 is an abundant number, since it is smaller than the sum of its proper divisors (12067300).

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

8435420 is a wasteful number, since it uses less digits than its factorization.

8435420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 8435420 is about 2904.3794517934. The cubic root of 8435420 is about 203.5645910145.

The spelling of 8435420 in words is "eight million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 677 890 1246 1354 1780 2492 2708 3115 3385 4739 6230 6770 9478 12460 13540 18956 23695 47390 60253 94780 120506 241012 301265 421771 602530 843542 1205060 1687084 2108855 4217710 8435420