Properties of the Number 74800

Seventy-Four Thousand Eight Hundred

Basics

Value: 74799 → 74800 → 74801

Parity: even

Prime: No

Previous Prime: 74797

Next Prime: 74821

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 11 × 17

Divisors: 1, 2, 4, 5, 8, 10, 11, 16, 17, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10010010000110000

Octal: 222060

Duodecimal: 37354

Hexadecimal: 12430

Square: 5595040000

Square Root: 273.4958866235469

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

Integers that are Rhonda numbers to base 30. A255736

Where the number of divisors d(k) reaches a new record for numbers k whose prime factors are of the form 3·j+2. A326312

Numbers k such that k·A003557(A003961(k)) divides A353790(k), where A353790(n) = φ(A003973(n)) * A064989(A003973(n)). A353797

Number of n X 4 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A253219

Sum of those numbers t which have a unique representation as the sum of floor(n/2) distinct squares from among 1²,...,n². A374510

Triangle of coefficients T[n,m] of polynomials n, n², (n+2n³)/3, n²(2+n²)/3, n(3+10n²+2n⁴)/15, etc. after multiplication by the denominators (A049606). A64984

Number of points of L1 norm 12 in cubic lattice Zⁿ. A35606

a(n) = denominator( (4·n+1)*(∏_i=1..n (2·i-1)/∏_i=1..n (2·i))⁵ ). A74800