Sexagesimal Converter
About sexagesimal (base-60)
Base-60 uses sixty values per place. It came from the ancient Sumerians and Babylonians, and survives today in clocks (hours, minutes, seconds) and angles (degrees, arcminutes, arcseconds).
Digits are written comma-separated, so 1, 6, 40 means 1×60² + 6×60¹ + 40×60⁰ = 4000. For fractions, add a semicolon: 1 ; 30 means 1 + 30/60 = 1.5.
Base-60 Calculator
Add, subtract, multiply or divide two base-60 values. Fractions (with ;) are supported, and results are shown in both base-60 and decimal.
Time & Angle Tools
Time and angles are everyday base-60 systems. Convert each way: notation ⟷ a single total value.
⏱️ Time
📐 Angle
Sexagesimal Reference
Positional notation
Each position is a power of 60, increasing right to left. For a, b, c the value is (a×60²)+(b×60¹)+(c×60⁰) = (a×3600)+(b×60)+(c×1).
Example: 2, 25, 4 → (2×3600)+(25×60)+(4×1) = 7200+1500+4 = 8704.
Fractions extend to the right of a semicolon using 60⁻¹, 60⁻², … so 0 ; 30 = 30/60 = 0.5.
Why 60?
Sixty is a highly composite number — it divides evenly more ways than any smaller number. Its whole divisors are:
123456101215203060
That makes halves, thirds, quarters, fifths and sixths all land on whole numbers — handy for trade, time and geometry.
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