Properties of the Number 10152

Ten Thousand One Hundred Fifty-Two

Basics

Value: 10151 → 10152 → 10153

Parity: even

Prime: No

Previous Prime: 10151

Next Prime: 10159

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 47

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110101000

Octal: 23650

Duodecimal: 5A60

Hexadecimal: 27a8

Square: 103063104

Square Root: 100.75713374248

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 and k+1 have the same sum of unitary divisors (A034448). A64125

a(n) = 2·n*(4·n-3). A139271

Number of different multisets that can be obtained by choosing a prime index (or a prime factor) of each integer from 2 to n. A355746

Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506. A57545

G.f.: 1 / (1 + 8·x*G(x)² - 10·x*G(x)³) where G(x) = 1 + x·G(x)⁴ is the g.f. of A002293. A226733

Number of 3 X 3 magilatin squares with positive values and magic sum n. A173549

Numbers of the form p³*q³*r where p, q, and r are prime. A179688

Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic. A32092

a(n)/n! is the average number of key comparisons required to sort n records with distinct keys using a modified heapsort (Algorithm H in Don Knuth's TAOCP Vol. 3, answer to exercise 18). A350569

Triangle read by rows: T(n,k) is the number of rooted ordered trees with node weights summing to n, where the root has weight 0, non-root node weights are in {1,..,k}, and no nodes have the same weight as their parent node. A384747