ℕ atory
Play Now

Properties of the Number 5370

Five Thousand Three Hundred Seventy

Basics

Value: 5369 → 5370 → 5371

Parity: even

Prime: No

Previous Prime: 5351

Next Prime: 5381

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 179

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 179, 358

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010011111010

Octal: 12372

Duodecimal: 3136

Hexadecimal: 14fa

Square: 28836900

Square Root: 73.28028384224504

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

Pentagonal numbers with even index. A49452
Second members D of two non-consecutive numbers such that the sums of their cubes are equal to centered cube numbers and to at least one other sum of two cubes, i.e., A = B3 + (B+1)3 = C3 + D3 = E3 + F3. A352223
Number of ways of writing n as the sum of 9 triangular numbers. A226253
T(n,k)=Number of length n+3 0..k arrays with no pair in any consecutive four terms totalling exactly k. A246479
Numbers k that, when expressed in base 5 and then interpreted in base 9, give a multiple of k. A62931
T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order. A222747
T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits. A263373
T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,2,1,4 for x=0,1,2,3,4. A196485
E.g.f. A(x) satisfies: A'(x) = A(x/A'(x)) with A(0)=1. A232696
a(n) = 1·2 + 3 + 4·5 + 6 + 7·8 + 9 + 10·11 + 12 + ... + (up to n). A305189