Properties of the Number 407

Four Hundred Seven

Basics

Value: 406 → 407 → 408

Parity: odd

Prime: No

Previous Prime: 401

Next Prime: 409

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 11 × 37

Divisors: 1, 11, 37, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010111

Octal: 627

Duodecimal: 29B

Hexadecimal: 197

Square: 165649

Square Root: 20.174241001832016

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: Yes

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

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

a(n) = ∑_k=1..n k·floor(n/k); also ∑_k=1..n σ(k) where σ(n) = sum of divisors of n (A000203). A24916

Numbers that are the sum of 2 positive cubes. A3325

Number of partitions of n into divisors of n. A18818

Armstrong (or pluperfect, or Plus Perfect, or narcissistic) numbers: m-digit nonnegative numbers equal to sum of the m-th powers of their digits. A5188

Brilliant numbers: semiprimes (products of two primes, A001358) whose prime factors have the same number of decimal digits. A78972

Triangle read by rows: T(n,k) is number of partitions of n with Durfee square of size k (n>=1; 1<=k<=floor(sqrt(n))). A115994

Multiples of 11. A8593

Sum of cubes of the digits of n written in base 10. A55012

Sums of three consecutive primes. A34961