Properties of the Number 1407

One Thousand Four Hundred Seven

Basics

Value: 1406 → 1407 → 1408

Parity: odd

Prime: No

Previous Prime: 1399

Next Prime: 1409

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 67

Divisors: 1, 3, 7, 21, 67, 201, 469, 1407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111111

Octal: 2577

Duodecimal: 993

Hexadecimal: 57f

Square: 1979649

Square Root: 37.5099986670221

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

Numbers k such that (7·10^k + 71)/3 is prime. A270831

Central polygonal numbers: a(n) = n² - n + 1. A2061

Number of partitions of n into pairwise relatively prime parts. A51424

Spt function: total number of smallest parts (counted with multiplicity) in all partitions of n. A92269

Sum of divisors of square numbers. A65764

Number of sublattices of index n in generic 3-dimensional lattice. A1001

Number of set partitions of strict integer partitions of n that have distinct block-sums. A279375

a(n) = 4·n² - 10·n + 7. A54554

a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k. A1000

Number of partitions of n with positive rank. A64173