122,728
122,728 is a composite number, even.
122,728 (one hundred twenty-two thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 23² × 29. Its proper divisors sum to 126,122, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DF68.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 448
- Digital root
- 4
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 827,221
- Square (n²)
- 15,062,161,984
- Cube (n³)
- 1,848,549,015,972,352
- Divisor count
- 24
- σ(n) — sum of divisors
- 248,850
- φ(n) — Euler's totient
- 56,672
- Sum of prime factors
- 81
Primality
Prime factorization: 2 3 × 23 2 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,728 = [350; (3, 13, 1, 28, 3, 1, 3, 1, 6, 77, 1, 2, 2, 1, 2, 1, 4, 1, 1, 2, 1, 2, 3, 2, …)]
Representations
- In words
- one hundred twenty-two thousand seven hundred twenty-eight
- Ordinal
- 122728th
- Binary
- 11101111101101000
- Octal
- 357550
- Hexadecimal
- 0x1DF68
- Base64
- Ad9o
- One's complement
- 4,294,844,567 (32-bit)
- Scientific notation
- 1.22728 × 10⁵
- As a duration
- 122,728 s = 1 day, 10 hours, 5 minutes, 28 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβψκηʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋰·𝋨
- Chinese
- 一十二萬二千七百二十八
- Chinese (financial)
- 壹拾貳萬貳仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122728, here are decompositions:
- 131 + 122597 = 122728
- 149 + 122579 = 122728
- 167 + 122561 = 122728
- 227 + 122501 = 122728
- 239 + 122489 = 122728
- 251 + 122477 = 122728
- 257 + 122471 = 122728
- 401 + 122327 = 122728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.104.
- Address
- 0.1.223.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.104
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 122,728 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 122728 first appears in π at position 768,040 of the decimal expansion (the 768,040ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.