Properties of the Number 97020

Ninety-Seven Thousand Twenty

Basics

Value: 97019 → 97020 → 97021

Parity: even

Prime: No

Previous Prime: 97007

Next Prime: 97021

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 7 ² × 11

Divisors: 1, 2, 3, 4, 5, 6, 7, 9, 10, 11

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 10111101011111100

Octal: 275374

Duodecimal: 48190

Hexadecimal: 17afc

Square: 9412880400

Square Root: 311.48033645801786

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) = n² * (n² - 1)/2. A83374

Number triangle T(n,k) = C(n,n-k)*C(n+1,n-k). A103371

Triangle read by rows giving the coefficients of formulas generating each variety of S1(n,k) (unsigned Stirling numbers of first kind). The p-th row (p>=1) contains T(i,p) for i=1 to 2·p, where T(i,p) satisfies ∑_i=1..2·p T(i,p) * C(n,i). A94216

Record (maximal) gaps between prime 5-tuples (p, p+2, p+6, p+8, p+12). A201073

Triangular numbers which are products of triangular numbers larger than 1. A68143

Smallest triangular number divisible by exactly n triangular numbers. A76983

Numbers with exactly 5 distinct prime divisors {2,3,5,7,11}. A147572

Triangular numbers, T(m), that are two-thirds of another triangular number; T(m) such that 3·T(m) = 2·T(k) for some k. A200993

Triangular array read by rows: T(n,k) is the number of set partitions of {1,2,...,n} that have exactly k distinct block sizes. A208437

a(n) = ∑_k=1..n τ(gcd(k,n)ⁿ), where τ(n) is the number of divisors of n. A344223