Properties of the Number 1040

One Thousand Forty

Basics

Value: 1039 → 1040 → 1041

Parity: even

Prime: No

Previous Prime: 1039

Next Prime: 1049

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 × 13

Divisors: 1, 2, 4, 5, 8, 10, 13, 16, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010000

Octal: 2020

Duodecimal: 728

Hexadecimal: 410

Square: 1081600

Square Root: 32.2490309931942

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 read by rows: T(n,k) = ∑_j>=0 j!*T(n-j-1, k-1) for n >= 0, k >= 0. A84938

Moser-de Bruijn sequence: sums of distinct powers of 4. A695

Number of overpartitions of n: an overpartition of n is an ordered sequence of nonincreasing integers that sum to n, where the first occurrence of each integer may be overlined. A15128

Numbers having k prime factors (counted with multiplicity), the largest of which is the k-th prime. A106529

Sums of two distinct powers of 2. A18900

a(n) = n*(4·n+1). A7742

Numbers that are divisible by exactly 6 primes with multiplicity. A46306

Numbers k such that the k-th composition in standard order is strictly decreasing. A333256

Expansion of g.f. x*(1 + 3·x)/((1 + x)*(1 - x)³). A35608

Numbers that are the sum of 10 positive 5th powers. A3355