11120
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 26040
- Proper Divisor Sum (Aliquot Sum)
- 14920
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4416
- Möbius Function
- 0
- Radical
- 1390
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 130
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 5 (most significant digit on left).at n=20A029450
- Number of partitions of n into parts not of the form 23k, 23k+4 or 23k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=36A035992
- Successive positions in Tower of Hanoi (with three pegs {0,1,2}) where xyz means smallest disk is on peg z, second smallest is on peg y, third smallest on peg x, etc. and leading zeros indicate largest disks are all on peg 0.at n=29A055662
- Each permutation in the list A060118 converted to Site Swap notation, with digits reversed and inverted. "Zero throws" (fixed elements) indicated with 0's.at n=32A060499
- Multiples of 5 with digit sum 5.at n=28A069540
- Totally balanced decimal numbers: if we assign the weight w(d) = d-1 to each digit d (i.e., w(0) = -1, w(1) = 0, ..., w(9) = 8) and then read the digits of the term from left to right, the partial sum of the weights is never negative and the total weighted sum is zero.at n=23A071154
- Łukasiewicz words that are also valid asynchronic siteswap juggling patterns.at n=30A071160
- Integers whose decimal expansion satisfies the condition that if we read each term from the left to right (the most significant to the least significant digit) then each nonzero digit gives a distance to the next nonzero digit to right (with a cyclic wrap-over from the least-significant to the most significant nonzero digit).at n=17A071161
- "Lazy binary" representation of n. Also called redundant binary representation of n.at n=32A089591
- Least multiple of n such that deleting the first r most significant digits yields a number divisible by n-r, for r = 0 to n-2.at n=4A090250
- a(n) = 123 written in base n.at n=2A095636
- a(n) = 123 written in base 11 - n.at n=8A095637
- Base 3 representation of the concatenation of the first n numbers with the most significant digits first.at n=2A097580
- Digital sum of the Fermat number 2^(2^n) + 1.at n=13A108301
- Numbers k such that (2*k)!/(2*(k!)^2) - 1 is prime.at n=21A112861
- Incorrect version of A001349.at n=8A126060
- Numerator of the continued fraction convergents of the decimal concatenation of the powers of 10.at n=6A128877
- a(n) = n*(7*n-2).at n=40A135703
- a(n) = p(n)*p(n+2)-p(n+1), where p(n) is the n-th prime.at n=26A152530
- Numbers n such that sum of squares of factorials of digits of n is a power of 2.at n=32A174570