Live analysis

1,007,120

1,007,120 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,007,120 (one million seven thousand one hundred twenty) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 12,589. Its proper divisors sum to 1,334,620, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5E10.

Abundant Number Arithmetic Number Evil Number Gapful Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,108 1,007,109 1,007,110 1,007,111 1,007,112 1,007,113 1,007,114 1,007,115 1,007,116 1,007,117 1,007,118 1,007,119 1,007,120 1,007,121 1,007,122 1,007,123 1,007,124 1,007,125 1,007,126 1,007,127 1,007,128 1,007,129 1,007,130 1,007,131 1,007,132

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 217,001
Square (n²): 1,014,290,694,400
Cube (n³): 1,021,512,444,144,128,000
Divisor count: 20
σ(n) — sum of divisors: 2,341,740
φ(n) — Euler's totient: 402,816
Sum of prime factors: 12,602

Primality

Prime factorization: 2 ⁴ × 5 × 12589

Nearest primes: 1,007,119 (−1) · 1,007,129 (+9)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 12589 · 25178 · 50356 · 62945 · 100712 · 125890 · 201424 · 251780 · 503560 (half) · 1007120

Aliquot sum (sum of proper divisors): 1,334,620

Factor pairs (a × b = 1,007,120)

1 × 1007120

2 × 503560

4 × 251780

5 × 201424

8 × 125890

10 × 100712

16 × 62945

20 × 50356

40 × 25178

80 × 12589

First multiples

1,007,120 · 2,014,240 (double) · 3,021,360 · 4,028,480 · 5,035,600 · 6,042,720 · 7,049,840 · 8,056,960 · 9,064,080 · 10,071,200

Sums & aliquot sequence

As a sum of two squares: 176² + 988² = 452² + 896²

As consecutive integers: 201,422 + 201,423 + 201,424 + 201,425 + 201,426 31,457 + 31,458 + … + 31,488 6,215 + 6,216 + … + 6,374

Aliquot sequence: 1,007,120 → 1,334,620 → 1,868,804 → 1,991,164 → 2,062,676 → 2,584,876 → 2,584,932 → 4,308,444 → 8,862,756 → 14,771,484 → 33,171,684 → 64,784,412 → 139,393,380 → 306,666,780 → 678,915,300 → 1,586,689,692 → 2,644,483,044 — unresolved within range

Continued fraction of √n

√1,007,120 = [1003; (1, 1, 4, 6, 2, 1, 1, 1, 2, 2, 3, 5, 3, 1, 2, 1, 4, 1, 5, 1, 44, 1, 3, 4, …)]

Representations

In words: one million seven thousand one hundred twenty
Ordinal: 1007120th
Binary: 11110101111000010000
Octal: 3657020
Hexadecimal: 0xF5E10
Base64: D14Q
One's complement: 4,293,960,175 (32-bit)
Scientific notation: 1.00712 × 10⁶
As a duration: 1,007,120 s = 11 days, 15 hours, 45 minutes, 20 seconds

In other bases

ternary (3) 1220011111202

quaternary (4) 3311320100

quinary (5) 224211440

senary (6) 33330332

septenary (7) 11363132

nonary (9) 1804452

undecimal (11) 628734

duodecimal (12) 4069a8

tridecimal (13) 29353a

tetradecimal (14) 1c3052

pentadecimal (15) 14d615

As an angle

1,007,120° = 2,797 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese: 一百萬七千一百二十
Chinese (financial): 壹佰萬柒仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٧١٢٠ Devanagari १००७१२० Bengali ১০০৭১২০ Tamil ௧௦௦௭௧௨௦ Thai ๑๐๐๗๑๒๐ Tibetan ༡༠༠༧༡༢༠ Khmer ១០០៧១២០ Lao ໑໐໐໗໑໒໐ Burmese ၁၀၀၇၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007120, here are decompositions:

3 + 1007117 = 1007120
31 + 1007089 = 1007120
61 + 1007059 = 1007120
73 + 1007047 = 1007120
97 + 1007023 = 1007120
151 + 1006969 = 1007120
223 + 1006897 = 1007120
229 + 1006891 = 1007120

Showing the first eight; more decompositions exist.

Hex color

#0F5E10

RGB(15, 94, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.94.16.

Address: 0.15.94.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.94.16

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,007,120 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US1,007,120 on Google Patents ↗ Look up on USPTO ↗