Properties of the Number 2740

Two Thousand Seven Hundred Forty

Basics

Value: 2739 → 2740 → 2741

Parity: even

Prime: No

Previous Prime: 2731

Next Prime: 2741

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 137

Divisors: 1, 2, 4, 5, 10, 20, 137, 274, 548, 685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010110100

Octal: 5264

Duodecimal: 1704

Hexadecimal: ab4

Square: 7507600

Square Root: 52.3450093132096

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of Look-and-Say partitions of n; see Comments. A239455

Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2·n²+2 for n > 0). A5893

a(n) = a(n-2) + a(n-3) + a(n-4) - a(n-6), with a(0) = a(2) = a(3) = 1, a(1) = 0 and a(4) = a(5) = 2. A143438

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 7 as largest digit. A256634

a(n) = 1 + ∑_i=1..n (n-i+1)*φ(i). A5598

Sum of all parts of all partitions of n that do not contain 1 as a part. A138880

Number of permutations of length n avoiding the pattern 1342. A22558

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean. A244903

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251065

a(n) = n*(3·n + 17)/2. A140674