Properties of the Number -42120

Forty-Two Thousand One Hundred Twenty

Basics

Value: -42121 → -42120 → -42119

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁴ × 5 × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1010010010001000

Octal: -122210

Duodecimal: -20460

Hexadecimal: -a488

Square: 1774094400

Square Root: 205.23157651784484

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

a(n) = ∑_{i=1..n, j=1..n, gcd(i,j)=1} (n+1-i)*(n+1-j). A115004

a(n) = -∏_k=0..n (7·k-1); sept-factorial numbers. A49209

Septuple factorial, 7-factorial, n!7, n!!!!!!!, a(n) = n·a(n-7) if n > 1, else 1. A114799

Triangle T(n,k) = number of forests of labeled rooted trees of height at most 1, with n labels, where each root contains k labels, n>=0, 0<=k<=n. A143398

T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock. A186609

Numbers that are the sum of four third powers in eight or more ways. A345152

Exponential transform of binomial(n,3) = A000292(n-2). A145453

Numbers that are the sum of four third powers in nine or more ways. A345146

Numbers that are the sum of four third powers in exactly nine ways. A345154

Group the natural numbers so that the n-th group contains smallest set of consecutive numbers whose sum is a multiple of the sum for the previous group: (1), (2), (3, 4, 5), (6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18), (19, 20, ... Sequence gives sums of terms of the groups. A75631