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5668000 = 255313109
BaseRepresentation
bin10101100111110010100000
3101122222000221
4111213302200
52422334000
6321252424
766114532
oct25476240
911588027
105668000
1132214a8
121a94114
131235b60
14a77852
1576e61a
hex567ca0

5668000 has 96 divisors (see below), whose sum is σ = 15135120. Its totient is φ = 2073600.

The previous prime is 5667997. The next prime is 5668027. The reversal of 5668000 is 8665.

It can be written as a sum of positive squares in 8 ways, for example, as 41616 + 5626384 = 204^2 + 2372^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 51946 + ... + 52054.

Almost surely, 25668000 is an apocalyptic number.

5668000 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 5668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567560).

5668000 is an abundant number, since it is smaller than the sum of its proper divisors (9467120).

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

5668000 is a wasteful number, since it uses less digits than its factorization.

5668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 5668000 is about 2380.7561823925. The cubic root of 5668000 is about 178.2966899022.

The spelling of 5668000 in words is "five million, six hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 109 125 130 160 200 208 218 250 260 325 400 416 436 500 520 545 650 800 872 1000 1040 1090 1300 1417 1625 1744 2000 2080 2180 2600 2725 2834 3250 3488 4000 4360 5200 5450 5668 6500 7085 8720 10400 10900 11336 13000 13625 14170 17440 21800 22672 26000 27250 28340 35425 43600 45344 52000 54500 56680 70850 87200 109000 113360 141700 177125 218000 226720 283400 354250 436000 566800 708500 1133600 1417000 2834000 5668000