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5566440 = 2335114217
BaseRepresentation
bin10101001110111111101000
3101110210201110
4111032333220
52411111230
6315150320
765212455
oct25167750
911423643
105566440
113162170
121a453a0
1311cb869
14a4c82c
1574e4b0
hex54efe8

5566440 has 64 divisors (see below), whose sum is σ = 18221760. Its totient is φ = 1349120.

The previous prime is 5566439. The next prime is 5566441. The reversal of 5566440 is 446655.

It is an interprime number because it is at equal distance from previous prime (5566439) and next prime (5566441).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5566398 and 5566407.

It is not an unprimeable number, because it can be changed into a prime (5566441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (284715).

Almost surely, 25566440 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 5566440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110880).

5566440 is an abundant number, since it is smaller than the sum of its proper divisors (12655320).

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

5566440 is a wasteful number, since it uses less digits than its factorization.

5566440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5566440 is about 2359.3304134860. The cubic root of 5566440 is about 177.2253505575.

It can be divided in two parts, 5566 and 440, that added together give a palindrome (6006).

The spelling of 5566440 in words is "five million, five hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 4217 8434 12651 16868 21085 25302 33736 42170 46387 50604 63255 84340 92774 101208 126510 139161 168680 185548 231935 253020 278322 371096 463870 506040 556644 695805 927740 1113288 1391610 1855480 2783220 5566440