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5566000 = 245311223
BaseRepresentation
bin10101001110111000110000
3101110210010011
4111032320300
52411103000
6315144304
765211256
oct25167060
911423104
105566000
113161900
121a45094
1311cb5bb
14a4c5d6
1574e2ba
hex54ee30

5566000 has 120 divisors (see below), whose sum is σ = 15436512. Its totient is φ = 1936000.

The previous prime is 5565997. The next prime is 5566003. The reversal of 5566000 is 6655.

5566000 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (5565997) and next prime (5566003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5566003) 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 23 ways as a sum of consecutive naturals, for example, 241989 + ... + 242011.

Almost surely, 25566000 is an apocalyptic number.

5566000 is a gapful number since it is divisible by the number (50) 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 5566000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718256).

5566000 is an abundant number, since it is smaller than the sum of its proper divisors (9870512).

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

5566000 is a wasteful number, since it uses less digits than its factorization.

5566000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5566000 is about 2359.2371648480. The cubic root of 5566000 is about 177.2206808339.

It can be divided in two parts, 556 and 6000, that added together give a palindrome (6556).

The spelling of 5566000 in words is "five million, five hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 121 125 176 184 200 220 230 242 250 253 275 368 400 440 460 484 500 506 550 575 605 880 920 968 1000 1012 1100 1150 1210 1265 1375 1840 1936 2000 2024 2200 2300 2420 2530 2750 2783 2875 3025 4048 4400 4600 4840 5060 5500 5566 5750 6050 6325 9200 9680 10120 11000 11132 11500 12100 12650 13915 15125 20240 22000 22264 23000 24200 25300 27830 30250 31625 44528 46000 48400 50600 55660 60500 63250 69575 101200 111320 121000 126500 139150 222640 242000 253000 278300 347875 506000 556600 695750 1113200 1391500 2783000 5566000