Properties of the Number 78000

Seventy-Eight Thousand

Basics

Value: 77999 → 78000 → 78001

Parity: even

Prime: No

Previous Prime: 77999

Next Prime: 78007

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ³ × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011000010110000

Octal: 230260

Duodecimal: 39180

Hexadecimal: 130b0

Square: 6084000000

Square Root: 279.28480087537883

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

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=13. A135198

a(n) = 1·2*3·4*5·6 - 7·8*9·10·11·12 + 13·14·15·16·17·18 - ... + (up to n). A319546

Array read by rows: T(n,k) is the number of solutions to the equation ∑_i=1..n x_i² == k (mod 5) with x_i in 0..4, where n >= 0 and 0 <= k <= 4. A330607

Number of strings of length n over Z₅ with trace 0 and subtrace 1. A73964

Number of strings of length n over Z₅ with trace 0 and subtrace 2. A73965

Number of strings of length n over Z₅ with trace 1 and subtrace 0. A73966

Number of strings of length n over Z₅ with trace 1 and subtrace 2. A73968

Number of strings of length n over Z₅ with trace 1 and subtrace 3. A73969

Number of strings of length n over Z₅ with trace 1 and subtrace 4. A73970

Number of elements of GF(5ⁿ) with trace 0 and subtrace 1. A74007