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8043040 = 255172957
BaseRepresentation
bin11110101011101000100000
3120010121222101
4132223220200
54024334130
6444220144
7125236045
oct36535040
916117871
108043040
1145a3945
12283a654
131887bc5
1410d51cc
15a8d1ca
hex7aba20

8043040 has 48 divisors (see below), whose sum is σ = 20126232. Its totient is φ = 3026944.

The previous prime is 8043029. The next prime is 8043041. The reversal of 8043040 is 403408.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 1752976 = 2508^2 + 1324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8042999 and 8043017.

It is not an unprimeable number, because it can be changed into a prime (8043041) 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, 1242 + ... + 4198.

Almost surely, 28043040 is an apocalyptic number.

8043040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063116).

8043040 is an abundant number, since it is smaller than the sum of its proper divisors (12083192).

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

8043040 is a wasteful number, since it uses less digits than its factorization.

8043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 8043040 is about 2836.0253877566. The cubic root of 8043040 is about 200.3580253734.

Adding to 8043040 its reverse (403408), we get a palindrome (8446448).

It can be divided in two parts, 804 and 3040, that added together give a square (3844 = 622).

The spelling of 8043040 in words is "eight million, forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 2957 5914 11828 14785 23656 29570 47312 50269 59140 94624 100538 118280 201076 236560 251345 402152 473120 502690 804304 1005380 1608608 2010760 4021520 8043040