Is 10400 a prime number?

10 400 is an even number, because it is evenly divisible by 2: 10 400 / 2 = 5 200.

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• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 10 400 is about 101.980.

Thus, the square root of 10 400 is not an integer, and therefore 10 400 is not a square number.

The square of a number (here 10 400) is the result of the product of this number (10 400) by itself (i.e., 10 400 × 10 400); the square of 10 400 is sometimes called "raising 10 400 to the power 2", or "10 400 squared".

The square of 10 400 is 108 160 000 because 10 400 × 10 400 = 10 400² = 108 160 000.

As a consequence, 10 400 is the square root of 108 160 000.

10 400 is a number with 5 digits.

The multiples of 10 400 are all integers evenly divisible by 10 400, that is all numbers such that the remainder of the division by 10 400 is zero. There are infinitely many multiples of 10 400. The smallest multiples of 10 400 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 400 too, since 0 × 10 400 = 0
• 10 400: indeed, 10 400 is a multiple of itself, since 10 400 is evenly divisible by 10 400 (we have 10 400 / 10 400 = 1, so the remainder of this division is indeed zero)
• 20 800: indeed, 20 800 = 10 400 × 2
• 31 200: indeed, 31 200 = 10 400 × 3
• 41 600: indeed, 41 600 = 10 400 × 4
• 52 000: indeed, 52 000 = 10 400 × 5
• etc.

• Preceding numbers: …10 398, 10 399
• Following numbers: 10 401, 10 402…

Nearest numbers from 10 400

• Preceding prime number: 10 399
• Following prime number: 10 427

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• 10 400 est-il un nombre premier ?