121,824
121,824 is a composite number, even.
121,824 (one hundred twenty-one thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁵ × 3⁴ × 47. Its proper divisors sum to 244,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DBE0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 128
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 428,121
- Square (n²)
- 14,841,086,976
- Cube (n³)
- 1,808,000,579,764,224
- Divisor count
- 60
- σ(n) — sum of divisors
- 365,904
- φ(n) — Euler's totient
- 39,744
- Sum of prime factors
- 69
Primality
Prime factorization: 2 5 × 3 4 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√121,824 = [349; (30, 2, 1, 6, 3, 4, 2, 77, 8, 1, 2, 2, 14, 2, 2, 1, 8, 77, 2, 4, 3, 6, 1, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-one thousand eight hundred twenty-four
- Ordinal
- 121824th
- Binary
- 11101101111100000
- Octal
- 355740
- Hexadecimal
- 0x1DBE0
- Base64
- Advg
- One's complement
- 4,294,845,471 (32-bit)
- Scientific notation
- 1.21824 × 10⁵
- As a duration
- 121,824 s = 1 day, 9 hours, 50 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκαωκδʹ
- Mayan (base 20)
- 𝋯·𝋤·𝋫·𝋤
- Chinese
- 一十二萬一千八百二十四
- Chinese (financial)
- 壹拾貳萬壹仟捌佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121824, here are decompositions:
- 37 + 121787 = 121824
- 61 + 121763 = 121824
- 97 + 121727 = 121824
- 103 + 121721 = 121824
- 113 + 121711 = 121824
- 127 + 121697 = 121824
- 137 + 121687 = 121824
- 163 + 121661 = 121824
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.224.
- Address
- 0.1.219.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.219.224
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 121,824 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 121824 first appears in π at position 378,483 of the decimal expansion (the 378,483ordinal-suffix:rd digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.