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30 (number)

← 29 30 31 →
Cardinal thirty
Ordinal 30th
(thirtieth)
Numeral system trigesimal
Factorization 2 × 3 × 5
Divisors 1, 2, 3, 5, 6, 10, 15, 30
Roman numeral XXX
Binary 111102
Ternary 10103
Quaternary 1324
Quinary 1105
Senary 506
Octal 368
Duodecimal 2612
Hexadecimal 1E16
Vigesimal 1A20
Base 36 U36

30 (thirty) is the natural number following 29 and preceding 31.

30 is the sum of the first four squares, which makes it a square pyramidal number.

Square pyramidal number.svg

It is a primorial and is the smallest Giuga number.

30 is the smallest sphenic number, and the smallest of the form 2 × 3 × r, where r is a prime greater than 3. 30 has an aliquot sum of 42; the second sphenic number and all sphenic numbers of this form have an aliquot sum 12 greater than themselves. The aliquot sequence of 30 is 16 members long, it comprises (30,42,54,66,78,90,144,259,45,33,15,9,4,3,1,0)

Thirty has but one number for which it is the aliquot sum: the square number 841.

Adding up some subsets of its divisors (e.g., 5, 10 and 15) gives 30, hence 30 is a semiperfect number.

30 is the largest number such that all coprimes smaller than itself, except for 1, are prime.

A polygon with thirty sides is called a triacontagon.


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Wikipedia

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