988,200
988,200 is a composite number, even.
988,200 (nine hundred eighty-eight thousand two hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2³ × 3⁴ × 5² × 61. Its proper divisors sum to 2,500,230, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1428.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 2,889
- Square (n²)
- 976,539,240,000
- Cube (n³)
- 965,016,076,968,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 3,488,430
- φ(n) — Euler's totient
- 259,200
- Sum of prime factors
- 89
Primality
Prime factorization: 2 3 × 3 4 × 5 2 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√988,200 = [994; (12, 8, 6, 79, 2, 1, 3, 24, 3, 1, 2, 79, 6, 8, 12, 1988)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty-eight thousand two hundred
- Ordinal
- 988200th
- Binary
- 11110001010000101000
- Octal
- 3612050
- Hexadecimal
- 0xF1428
- Base64
- DxQo
- One's complement
- 4,293,979,095 (32-bit)
- Scientific notation
- 9.882 × 10⁵
- As a duration
- 988,200 s = 11 days, 10 hours, 30 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ϡπησʹ
- Chinese
- 九十八萬八千二百
- Chinese (financial)
- 玖拾捌萬捌仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988200, here are decompositions:
- 43 + 988157 = 988200
- 53 + 988147 = 988200
- 71 + 988129 = 988200
- 89 + 988111 = 988200
- 107 + 988093 = 988200
- 131 + 988069 = 988200
- 139 + 988061 = 988200
- 149 + 988051 = 988200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.40.
- Address
- 0.15.20.40
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.20.40
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 988,200 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 988200 first appears in π at position 989,191 of the decimal expansion (the 989,191ordinal-suffix:st 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°.