Properties of the Number 1940

One Thousand Nine Hundred Forty

Basics

Value: 1939 → 1940 → 1941

Parity: even

Prime: No

Previous Prime: 1933

Next Prime: 1949

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 5 × 97

Divisors: 1, 2, 4, 5, 10, 20, 97, 194, 388, 485

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110010100

Octal: 3624

Duodecimal: 1158

Hexadecimal: 794

Square: 3763600

Square Root: 44.04543109109048

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

Triangle of Mahonian numbers T(n,k): coefficients in expansion of ∏_i=0..n-1 (1 + x + ... + xⁱ), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index. A8302

Number of double-free integer partitions of n. A323092

a(n) = n² + 4. A87475

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))⁴. A341243

Binomial matrix applied to A111418. A126791

Number A(n,k) of partitions of the (n+k)-multiset {0,...,0,1,2,...,k} with n 0's; square array A(n,k), n>=0, k>=0, read by antidiagonals. A346426

Number of partitions p of n into distinct parts not including the number of parts. A240861

Numbers m such that there are precisely 15 groups of order m. A294156

a(n) = binomial(n,4) + binomial(n,2). A55795

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x + 97)² = y². A129836