Ry
Explorer
Interesting properties of 120:
It has the most divisors of any number up to itself.
It is a 3-perfect number: its factors including 1 and itself sum to 360
120
=1*2*3*4*5 (5 factorial)
=1+2+3+4+5+6+7+8+9+10+11+12+13+14+15 (15th triangular number)
=1+3+6+10+15+21+28+36 (8th tetrahedral number)
=59+61 (twin prime pair)
=23+29+31+37 (4 consecutive primes)
=8+16+32+64 (4 consecutive powers of 2)
=3+9+27+81 (4 consecutive powers of 3)
120 was known as the "great hundred" to distinguish it from ten tens, the "small hundred"
It has the most divisors of any number up to itself.
It is a 3-perfect number: its factors including 1 and itself sum to 360
120
=1*2*3*4*5 (5 factorial)
=1+2+3+4+5+6+7+8+9+10+11+12+13+14+15 (15th triangular number)
=1+3+6+10+15+21+28+36 (8th tetrahedral number)
=59+61 (twin prime pair)
=23+29+31+37 (4 consecutive primes)
=8+16+32+64 (4 consecutive powers of 2)
=3+9+27+81 (4 consecutive powers of 3)
120 was known as the "great hundred" to distinguish it from ten tens, the "small hundred"