1,013,040
1,013,040 is a composite number, even.
1,013,040 (one million thirteen thousand forty) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2⁴ × 3³ × 5 × 7 × 67. Its proper divisors sum to 3,034,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7530.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 403,101
- Square (n²)
- 1,026,250,041,600
- Cube (n³)
- 1,039,632,342,142,464,000
- Divisor count
- 160
- σ(n) — sum of divisors
- 4,047,360
- φ(n) — Euler's totient
- 228,096
- Sum of prime factors
- 96
Primality
Prime factorization: 2 4 × 3 3 × 5 × 7 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,013,040 = [1006; (2, 223, 6, 223, 2, 2012)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one million thirteen thousand forty
- Ordinal
- 1013040th
- Binary
- 11110111010100110000
- Octal
- 3672460
- Hexadecimal
- 0xF7530
- Base64
- D3Uw
- One's complement
- 4,293,954,255 (32-bit)
- Scientific notation
- 1.01304 × 10⁶
- As a duration
- 1,013,040 s = 11 days, 17 hours, 24 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
- Chinese
- 一百零一萬三千零四十
- Chinese (financial)
- 壹佰零壹萬參仟零肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013040, here are decompositions:
- 11 + 1013029 = 1013040
- 31 + 1013009 = 1013040
- 37 + 1013003 = 1013040
- 43 + 1012997 = 1013040
- 47 + 1012993 = 1013040
- 59 + 1012981 = 1013040
- 73 + 1012967 = 1013040
- 109 + 1012931 = 1013040
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.48.
- Address
- 0.15.117.48
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.117.48
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3040 (MDDYYYY (US, single-digit month)).
Other possible interpretations (2)
- 3040-10-01 (MMDYYYY (US, single-digit day))
- 3040-01-10 (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 1,013,040 and was likely granted around 1911.
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°.