272,400,600

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Number

$272 \, 400 \, 600$ is:

$2^3 \times 3 \times 5^2 \times 107 \times 4243$

The index of the $1$st harmonic number to be greater than $20$:

$H_{272 \, 400 \, 600} = \ds \sum_{k \mathop = 1}^{272 \, 400 \, 600} \frac 1 k \approx 20 \cdotp 00000 \, 00016$

Also see

• First Harmonic Number to exceed 20

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $272,400,600$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $272,400,600$