122,760
122,760 is a composite number, even.
122,760 (one hundred twenty-two thousand seven hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 11 × 31. Its proper divisors sum to 326,520, more than the number itself, making it an abundant number. It is the 495th triangular number. Written other ways, in hexadecimal, 0x1DF88.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 67,221
- Square (n²)
- 15,070,017,600
- Cube (n³)
- 1,849,995,360,576,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 449,280
- φ(n) — Euler's totient
- 28,800
- Sum of prime factors
- 59
Primality
Prime factorization: 2 3 × 3 2 × 5 × 11 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,760 = [350; (2, 1, 2, 3, 1, 3, 2, 1, 2, 700)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand seven hundred sixty
- Ordinal
- 122760th
- Binary
- 11101111110001000
- Octal
- 357610
- Hexadecimal
- 0x1DF88
- Base64
- Ad+I
- One's complement
- 4,294,844,535 (32-bit)
- Scientific notation
- 1.2276 × 10⁵
- As a duration
- 122,760 s = 1 day, 10 hours, 6 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβψξʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋲·𝋠
- Chinese
- 一十二萬二千七百六十
- Chinese (financial)
- 壹拾貳萬貳仟柒佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122760, here are decompositions:
- 7 + 122753 = 122760
- 17 + 122743 = 122760
- 19 + 122741 = 122760
- 41 + 122719 = 122760
- 59 + 122701 = 122760
- 67 + 122693 = 122760
- 97 + 122663 = 122760
- 107 + 122653 = 122760
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.136.
- Address
- 0.1.223.136
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.136
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 122,760 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.