980,400
980,400 is a composite number, even.
980,400 (nine hundred eighty thousand four hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3 × 5² × 19 × 43. Its proper divisors sum to 2,402,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEF5B0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 4,089
- Square (n²)
- 961,184,160,000
- Cube (n³)
- 942,344,950,464,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 3,382,720
- φ(n) — Euler's totient
- 241,920
- Sum of prime factors
- 83
Primality
Prime factorization: 2 4 × 3 × 5 2 × 19 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√980,400 = [990; (6, 1, 1, 1, 1, 78, 1, 1, 1, 1, 6, 1980)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred eighty thousand four hundred
- Ordinal
- 980400th
- Binary
- 11101111010110110000
- Octal
- 3572660
- Hexadecimal
- 0xEF5B0
- Base64
- DvWw
- One's complement
- 4,293,986,895 (32-bit)
- Scientific notation
- 9.804 × 10⁵
- As a duration
- 980,400 s = 11 days, 8 hours, 20 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ϡπυʹ
- Chinese
- 九十八萬零四百
- Chinese (financial)
- 玖拾捌萬零肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 980400, here are decompositions:
- 7 + 980393 = 980400
- 23 + 980377 = 980400
- 37 + 980363 = 980400
- 73 + 980327 = 980400
- 79 + 980321 = 980400
- 101 + 980299 = 980400
- 107 + 980293 = 980400
- 139 + 980261 = 980400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.245.176.
- Address
- 0.14.245.176
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.245.176
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 980,400 and was likely granted around 1910.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.