Properties of the Number 59970

Fifty-Nine Thousand Nine Hundred Seventy

Basics

Value: 59969 → 59970 → 59971

Parity: even

Prime: No

Previous Prime: 59957

Next Prime: 59971

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 1999

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 1999, 3998

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101001000010

Octal: 165102

Duodecimal: 2A856

Hexadecimal: ea42

Square: 3596400900

Square Root: 244.88772937817853

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

Sum of the sizes of the Durfee squares of all partitions of n. A115995

Number of ways to build a contiguous building with n LEGO blocks of size 1 X 7 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position. A123808

a(n) = 6*(10ⁿ-5). A177097

Numbers n such that A = n + digitsum(n) is divisible by the highest power of 10 <= A. A242799

Nim-factorials: a(1)=1 and, for n>1, a(n)=n·a(n-1), where·denotes Nim multiplication. A59970

Number of ways to reciprocally link elements of an nX4 array either to themselves or to exactly two horizontal, vertical and antidiagonal neighbors, without consecutive collinear links. A220677