122,540
122,540 is a composite number, even.
122,540 (one hundred twenty-two thousand five hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 557. Its proper divisors sum to 158,692, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DEAC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 45,221
- Recamán's sequence
- a(30,120) = 122,540
- Square (n²)
- 15,016,051,600
- Cube (n³)
- 1,840,066,963,064,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 281,232
- φ(n) — Euler's totient
- 44,480
- Sum of prime factors
- 577
Primality
Prime factorization: 2 2 × 5 × 11 × 557
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,540 = [350; (17, 1, 1, 174, 1, 1, 17, 700)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand five hundred forty
- Ordinal
- 122540th
- Binary
- 11101111010101100
- Octal
- 357254
- Hexadecimal
- 0x1DEAC
- Base64
- Ad6s
- One's complement
- 4,294,844,755 (32-bit)
- Scientific notation
- 1.2254 × 10⁵
- As a duration
- 122,540 s = 1 day, 10 hours, 2 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβφμʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋧·𝋠
- Chinese
- 一十二萬二千五百四十
- Chinese (financial)
- 壹拾貳萬貳仟伍佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122540, here are decompositions:
- 7 + 122533 = 122540
- 13 + 122527 = 122540
- 31 + 122509 = 122540
- 37 + 122503 = 122540
- 43 + 122497 = 122540
- 97 + 122443 = 122540
- 139 + 122401 = 122540
- 151 + 122389 = 122540
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.172.
- Address
- 0.1.222.172
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.222.172
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 122,540 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 122540 first appears in π at position 644,197 of the decimal expansion (the 644,197ordinal-suffix:th 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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.