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5583240 = 23325131193
BaseRepresentation
bin10101010011000110001000
3101111122202200
4111103012020
52412130430
6315400200
765312445
oct25230610
911448680
105583240
113173853
121a53060
1312063c0
14a549cc
15754460
hex553188

5583240 has 96 divisors (see below), whose sum is σ = 19557720. Its totient is φ = 1373184.

The previous prime is 5583211. The next prime is 5583287. The reversal of 5583240 is 423855.

5583240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3526884 + 2056356 = 1878^2 + 1434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4084 + ... + 5276.

Almost surely, 25583240 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 5583240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9778860).

5583240 is an abundant number, since it is smaller than the sum of its proper divisors (13974480).

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

5583240 is a wasteful number, since it uses less digits than its factorization.

5583240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5583240 is about 2362.8880633665. Note that the first 3 decimals coincide. The cubic root of 5583240 is about 177.4034653290.

The spelling of 5583240 in words is "five million, five hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1193 1560 2340 2386 3579 4680 4772 5965 7158 9544 10737 11930 14316 15509 17895 21474 23860 28632 31018 35790 42948 46527 47720 53685 62036 71580 77545 85896 93054 107370 124072 139581 143160 155090 186108 214740 232635 279162 310180 372216 429480 465270 558324 620360 697905 930540 1116648 1395810 1861080 2791620 5583240