1,058,400
1,058,400 is a composite number, even.
1,058,400 (one million fifty-eight thousand four hundred) is an even 7-digit number. It is a composite number with 216 divisors, and factors as 2⁵ × 3³ × 5² × 7². Its proper divisors sum to 3,394,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102660.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 21 bits
- Reversed
- 48,501
- Square (n²)
- 1,120,210,560,000
- Cube (n³)
- 1,185,630,856,704,000,000
- Divisor count
- 216
- σ(n) — sum of divisors
- 4,452,840
- φ(n) — Euler's totient
- 241,920
- Sum of prime factors
- 43
Primality
Prime factorization: 2 5 × 3 3 × 5 2 × 7 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,058,400 = [1028; (1, 3, 1, 1, 1, 227, 1, 40, 1, 227, 1, 1, 1, 3, 1, 2056)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one million fifty-eight thousand four hundred
- Ordinal
- 1058400th
- Binary
- 100000010011001100000
- Octal
- 4023140
- Hexadecimal
- 0x102660
- Base64
- ECZg
- One's complement
- 4,293,908,895 (32-bit)
- Scientific notation
- 1.0584 × 10⁶
- As a duration
- 1,058,400 s = 12 days, 6 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Chinese
- 一百零五萬八千四百
- Chinese (financial)
- 壹佰零伍萬捌仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1058400, here are decompositions:
- 11 + 1058389 = 1058400
- 17 + 1058383 = 1058400
- 19 + 1058381 = 1058400
- 23 + 1058377 = 1058400
- 47 + 1058353 = 1058400
- 59 + 1058341 = 1058400
- 61 + 1058339 = 1058400
- 71 + 1058329 = 1058400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.16.38.96.
- Address
- 0.16.38.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.16.38.96
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 8400 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 8400-05-01 (DMMYYYY (Euro, single-digit day))
- 8400-10-05 (MMDYYYY (US, single-digit day))
- 8400-05-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,058,400 and was likely granted around 1912.
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°.