Properties of the Number 10156

Ten Thousand One Hundred Fifty-Six

Basics

Value: 10155 → 10156 → 10157

Parity: even

Prime: No

Previous Prime: 10151

Next Prime: 10159

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 2539

Divisors: 1, 2, 4, 2539, 5078, 10156

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011110101100

Octal: 23654

Duodecimal: 5A64

Hexadecimal: 27ac

Square: 103144336

Square Root: 100.77698149875297

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

Number of partitions of n in which the greatest part is 9. A26815

Dispersion of A016861, (5k+1), by antidiagonals. A191703

Number of partitions of n into at most 9 parts. A8638

Number of partitions of n into 9 distinct and relatively prime parts. A341913

Number of partial functions f:{1,2,...,n}->{1,2,...,n} such that every element in the domain of definition of f is mapped to a fixed point or to an element that is undefined by f. A275707

Largest number k for which the n-th prime is the median of the largest prime dividing the first k integers. A126283

Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4. A209988

Sum of numbers in the n-th antidiagonal of the reciprocity array of 0. A259574

Triangle of coefficients of polynomials v(n,x) jointly generated with A208919; see the Formula section. A208920

Number of series-reduced rooted trees whose leaves are integer partitions whose multiset union is an integer partition of n with no 1's. A320293