Properties of the Number 90100

Ninety Thousand One Hundred

Basics

Value: 90099 → 90100 → 90101

Parity: even

Prime: No

Previous Prime: 90089

Next Prime: 90107

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 ² × 17 × 53

Divisors: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10101111111110100

Octal: 257764

Duodecimal: 44184

Hexadecimal: 15ff4

Square: 8118010000

Square Root: 300.1666203960727

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

Triangular numbers with sum of digits = 10. A68129

2nd elementary symmetric function of the first n+1 positive integers congruent to 2 mod 3. A24391

Triangular numbers for which the number of divisors is also a triangular number. A116541

a(1) = 1; a(n) is the smallest triangular number > a(n-1) which differs from it at every digit. A68855

Number of hands that peg n points in the "show" phase of 6-card cribbage. A66354

Triangular numbers in which neighboring digits differ at most by 1. Allowed neighbors of 9 are 0, 8 and 9. A68149

Triangular numbers whose digit reversal is prime; trailing zeros are permitted. A115704

Triangular numbers composed of digits {0,1,9}. A119047

a(n) = ∑_{k=0..floor(n/4)} binomial(n-3·k-1,k) * binomial(k,n-4·k). A383584

Numbers k such that k and k² use only the digits 0, 1, 4, 8 and 9. A136867