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Properties of the Number 37520

Thirty-Seven Thousand Five Hundred Twenty

Basics

Value: 37519 → 37520 → 37521

Parity: even

Prime: No

Previous Prime: 37517

Next Prime: 37529

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 4 × 5 × 7 × 67

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001010010000

Octal: 111220

Duodecimal: 19868

Hexadecimal: 9290

Square: 1407750400

Square Root: 193.70080020485202

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 k*(k+1)/2 + 1 is a square. A6451
Coordination sequence for (2,3,9) tiling of hyperbolic plane. A265059
Smallest number m such that m2+1 is divisible by A002144(n)2 (= squares of primes congruent to 1 mod 4). A59321
Indices of triangular numbers that are eight times other triangular numbers. A336625
Array read by antidiagonals: T(n,k) = number of rooted 2-dimensional polyominoes with k cells, the cells being regular n-gons, with no symmetries removed. A94166
Number of integer partitions of n whose distinct parts are the binary indices of some prime number. A372887
a(n) = (1/2) * (5·P(n+1) + P(n) - 1), where P(k) are the Pell numbers A000129. A98586
Numbers k such that the distance between the k-th triangular number and the nearest square is exactly 1. A229131
Number of rooted 2-dimensional polyominoes with n pentagonal cells, with no symmetries removed. A51738
Let π be an unrestricted partition of n with the summands written in binary notation. a(n) is the number of such partitions whose binary representation has an odd number of binary ones. A102437