Properties of the Number 75040

Seventy-Five Thousand Forty

Basics

Value: 75039 → 75040 → 75041

Parity: even

Prime: No

Previous Prime: 75037

Next Prime: 75041

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 5 × 7 × 67

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010010100100000

Octal: 222440

Duodecimal: 37514

Hexadecimal: 12520

Square: 5631001600

Square Root: 273.9342986922229

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

Concatenate n and the sum of factorials of the digits of n. A109016

Number of subgroups of the group C_n x C_n x C_n x C_n, where C_n is the cyclic group of order n. A280162

The n-th highly composite number equals the a(n)-th composite number, for n >= 3. A74329

Number of (n+2) X 4 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..1 introduced in row major order. A204748

a(n) = 2·n³ + 9·n² + 9·n. A303609

a(1) = 0; a(n) = smallest of three consecutive numbers all with 2n divisors. A75040

E.g.f.: 1 + Integral (1 + Integral (1 + Integral (1 + Integral (1 + ...)¹⁶ dx)⁸ dx)⁴ dx)² dx. A234296