1,017,120
1,017,120 is a composite number, even.
1,017,120 (one million seventeen thousand one hundred twenty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 13 × 163. Its proper divisors sum to 2,454,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8520.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 217,101
- Square (n²)
- 1,034,533,094,400
- Cube (n³)
- 1,052,244,300,976,128,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,471,552
- φ(n) — Euler's totient
- 248,832
- Sum of prime factors
- 194
Primality
Prime factorization: 2 5 × 3 × 5 × 13 × 163
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,017,120 = [1008; (1, 1, 10, 16, 1, 1, 2, 1, 5, 1, 3, 2, 1, 5, 1, 1, 2, 3, 1, 3, 2, 2, 1, 1, …)]
Period length 52 — the block in parentheses repeats forever.
Representations
- In words
- one million seventeen thousand one hundred twenty
- Ordinal
- 1017120th
- Binary
- 11111000010100100000
- Octal
- 3702440
- Hexadecimal
- 0xF8520
- Base64
- D4Ug
- One's complement
- 4,293,950,175 (32-bit)
- Scientific notation
- 1.01712 × 10⁶
- As a duration
- 1,017,120 s = 11 days, 18 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Chinese
- 一百零一萬七千一百二十
- Chinese (financial)
- 壹佰零壹萬柒仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1017120, here are decompositions:
- 23 + 1017097 = 1017120
- 43 + 1017077 = 1017120
- 59 + 1017061 = 1017120
- 79 + 1017041 = 1017120
- 89 + 1017031 = 1017120
- 109 + 1017011 = 1017120
- 113 + 1017007 = 1017120
- 149 + 1016971 = 1017120
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.133.32.
- Address
- 0.15.133.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.133.32
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Thursday, January 1, 7120 (MDDYYYY (US, single-digit month)).
Other possible interpretations (2)
- 7120-10-01 (MMDYYYY (US, single-digit day))
- 7120-01-10 (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 1,017,120 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°.