122,640
122,640 is a composite number, even.
122,640 (one hundred twenty-two thousand six hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 73. Its proper divisors sum to 317,808, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF10.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 46,221
- Square (n²)
- 15,040,569,600
- Cube (n³)
- 1,844,575,455,744,000
- Divisor count
- 80
- σ(n) — sum of divisors
- 440,448
- φ(n) — Euler's totient
- 27,648
- Sum of prime factors
- 96
Primality
Prime factorization: 2 4 × 3 × 5 × 7 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,640 = [350; (5, 700)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand six hundred forty
- Ordinal
- 122640th
- Binary
- 11101111100010000
- Octal
- 357420
- Hexadecimal
- 0x1DF10
- Base64
- Ad8Q
- One's complement
- 4,294,844,655 (32-bit)
- Scientific notation
- 1.2264 × 10⁵
- As a duration
- 122,640 s = 1 day, 10 hours, 4 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβχμʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋬·𝋠
- Chinese
- 一十二萬二千六百四十
- Chinese (financial)
- 壹拾貳萬貳仟陸佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122640, here are decompositions:
- 29 + 122611 = 122640
- 31 + 122609 = 122640
- 41 + 122599 = 122640
- 43 + 122597 = 122640
- 61 + 122579 = 122640
- 79 + 122561 = 122640
- 83 + 122557 = 122640
- 107 + 122533 = 122640
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D BC 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.16.
- Address
- 0.1.223.16
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.16
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 122,640 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 122640 first appears in π at position 69,235 of the decimal expansion (the 69,235ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.