Friday, May 3, 2019

Number of the day: 30930

Properties of the number 30930:

30930 = 2 × 3 × 5 × 1031 is the 27596th composite number and is squarefree.
30930 has 4 distinct prime factors, 16 divisors, 9 antidivisors and 8240 totatives.
30930 has an emirpimes digit sum 15 in base 10.
30930 has a triangular digit sum 15 in base 10.
30930 is the difference of 2 positive pentagonal numbers in 2 ways.
30930 = 42 + 552 + 1672 is the sum of 3 positive squares.
309302 = 185582 + 247442 is the sum of 2 positive squares in 1 way.
309302 is the sum of 3 positive squares.
30930 is a proper divisor of 61910 - 1.
30930 = '30' + '930' is the concatenation of 2 oblong numbers.
30930 is palindromic in (at least) the following bases: 35, 45, -42, and -94.
30930 in base 35 = p8p and consists of only the digits '8' and 'p'.
30930 in base 41 = IGG and consists of only the digits 'G' and 'I'.
30930 in base 44 = Fgg and consists of only the digits 'F' and 'g'.
30930 in base 45 = FCF and consists of only the digits 'C' and 'F'.

The number 30930 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A064262: Values of m such that N=(am+1)(bm+1)(cm+1) is a Carmichael number, where a,b,c = 1,2,51.
A085467: Numerators of coefficients of e^2 in the table of (2n)th du Bois Reymond constants.
A138729: a(n) = -A085466(n) times the free coefficient of the 2n-th Du Bois-Reymond polynomial in e^2.
A214753: Number T(n,k) of solid standard Young tableaux of n cells and height = k; triangle T(n,k), n>=0, 0<=k<=n, read by rows.
A223034: Number of 3-vexillary permutations in S_n, that is, permutations whose Stanley symmetric function has at most 3 terms or at most 3 Edelman-Greene tableaux.
A273582: Number of solid standard Young tableaux of n cells and height two.

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