988,128
988,128 is a composite number, even.
988,128 (nine hundred eighty-eight thousand one hundred twenty-eight) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 47 × 73. Its proper divisors sum to 1,920,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 9,216
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 821,889
- Square (n²)
- 976,396,944,384
- Cube (n³)
- 964,805,159,860,273,152
- Divisor count
- 72
- σ(n) — sum of divisors
- 2,909,088
- φ(n) — Euler's totient
- 317,952
- Sum of prime factors
- 136
Primality
Prime factorization: 2 5 × 3 2 × 47 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,128 = [994; (21, 1, 1, 1, 1, 3, 1, 2, 1, 39, 1, 5, 6, 4, 2, 3, 1, 1, 1, 19, 1, 5, 1, 19, …)]
Period length 44 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-eight thousand one hundred twenty-eight
- Ordinal
- 988128th
- Binary
- 11110001001111100000
- Octal
- 3611740
- Hexadecimal
- 0xF13E0
- Base64
- DxPg
- One's complement
- 4,293,979,167 (32-bit)
- Scientific notation
- 9.88128 × 10⁵
- As a duration
- 988,128 s = 11 days, 10 hours, 28 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡπηρκηʹ
- Chinese
- 九十八萬八千一百二十八
- Chinese (financial)
- 玖拾捌萬捌仟壹佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988128, here are decompositions:
- 17 + 988111 = 988128
- 19 + 988109 = 988128
- 59 + 988069 = 988128
- 61 + 988067 = 988128
- 67 + 988061 = 988128
- 107 + 988021 = 988128
- 131 + 987997 = 988128
- 137 + 987991 = 988128
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.224.
- Address
- 0.15.19.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.19.224
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 988,128 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 988128 first appears in π at position 42,634 of the decimal expansion (the 42,634ordinal-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°.