Properties of the Number 6740

Six Thousand Seven Hundred Forty

Basics

Value: 6739 → 6740 → 6741

Parity: even

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 5 × 337

Divisors: 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101001010100

Octal: 15124

Duodecimal: 3A98

Hexadecimal: 1a54

Square: 45427600

Square Root: 82.09750300709517

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 integer partitions of n whose first differences (assuming the last part is zero) are unimodal. A332283

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

Number T(n,k) of linear chord diagrams having n chords and minimal chord length k (or k=0 if n=0); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A293881

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253350

T(n,k) = Number of (n+1) X (k+1) 0..1 arrays with the determinants of 2 X 2 subblocks nondecreasing rightwards and downwards. A204616

Integer part of square root of n⁵ = A000584(n). A155013

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing. A204800

Number of partitions p of n including round(mean(p)) as a part. (This is "Mathematica round"). A241338

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253231

Numbers that are the sum of ten fourth powers in seven or more ways. A345600