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1,027,120

1,027,120 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.).

1,027,120 (one million twenty-seven thousand one hundred twenty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 37 × 347. Its proper divisors sum to 1,432,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAC30.

Abundant Number Evil Number Gapful Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
217,201
Square (n²)
1,054,975,494,400
Cube (n³)
1,083,586,429,808,128,000
Divisor count
40
σ(n) — sum of divisors
2,459,664
φ(n) — Euler's totient
398,592
Sum of prime factors
397

Primality

Prime factorization: 2 4 × 5 × 37 × 347

Nearest primes: 1,027,097 (−23) · 1,027,127 (+7)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 37 · 40 · 74 · 80 · 148 · 185 · 296 · 347 · 370 · 592 · 694 · 740 · 1388 · 1480 · 1735 · 2776 · 2960 · 3470 · 5552 · 6940 · 12839 · 13880 · 25678 · 27760 · 51356 · 64195 · 102712 · 128390 · 205424 · 256780 · 513560 (half) · 1027120
Aliquot sum (sum of proper divisors): 1,432,544
Factor pairs (a × b = 1,027,120)
1 × 1027120
2 × 513560
4 × 256780
5 × 205424
8 × 128390
10 × 102712
16 × 64195
20 × 51356
37 × 27760
40 × 25678
74 × 13880
80 × 12839
148 × 6940
185 × 5552
296 × 3470
347 × 2960
370 × 2776
592 × 1735
694 × 1480
740 × 1388
First multiples
1,027,120 · 2,054,240 (double) · 3,081,360 · 4,108,480 · 5,135,600 · 6,162,720 · 7,189,840 · 8,216,960 · 9,244,080 · 10,271,200

Sums & aliquot sequence

As consecutive integers: 205,422 + 205,423 + 205,424 + 205,425 + 205,426 32,082 + 32,083 + … + 32,113 27,742 + 27,743 + … + 27,778 6,340 + 6,341 + … + 6,499
Aliquot sequence: 1,027,120 1,432,544 1,425,136 1,336,096 1,358,288 1,388,560 2,033,096 2,132,464 1,999,216 1,874,296 1,640,024 1,729,576 1,546,424 1,616,896 1,617,364 1,688,876 1,688,932 — unresolved within range

Continued fraction of √n

√1,027,120 = [1013; (2, 7, 1, 1, 1, 3, 1, 1, 3, 11, 1, 2, 2, 13, 1, 1, 1, 5, 1, 1, 1, 9, 2, 3, …)]

Representations

In words
one million twenty-seven thousand one hundred twenty
Ordinal
1027120th
Binary
11111010110000110000
Octal
3726060
Hexadecimal
0xFAC30
Base64
D6ww
One's complement
4,293,940,175 (32-bit)
Scientific notation
1.02712 × 10⁶
As a duration
1,027,120 s = 11 days, 21 hours, 18 minutes, 40 seconds
In other bases
ternary (3) 1221011221111
quaternary (4) 3322300300
quinary (5) 230331440
senary (6) 34003104
septenary (7) 11505343
nonary (9) 1834844
undecimal (11) 641766
duodecimal (12) 416494
tridecimal (13) 29c683
tetradecimal (14) 1ca45a
pentadecimal (15) 1544ea

As an angle

1,027,120° = 2,853 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese
一百零二萬七千一百二十
Chinese (financial)
壹佰零貳萬柒仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٧١٢٠ Devanagari १०२७१२० Bengali ১০২৭১২০ Tamil ௧௦௨௭௧௨௦ Thai ๑๐๒๗๑๒๐ Tibetan ༡༠༢༧༡༢༠ Khmer ១០២៧១២០ Lao ໑໐໒໗໑໒໐ Burmese ၁၀၂၇၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027120, here are decompositions:

  • 23 + 1027097 = 1027120
  • 53 + 1027067 = 1027120
  • 89 + 1027031 = 1027120
  • 131 + 1026989 = 1027120
  • 173 + 1026947 = 1027120
  • 179 + 1026941 = 1027120
  • 233 + 1026887 = 1027120
  • 359 + 1026761 = 1027120

Showing the first eight; more decompositions exist.

Hex color
#0FAC30
RGB(15, 172, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.172.48.

Address
0.15.172.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.172.48

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 7120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7120-02-01 (DMMYYYY (Euro, single-digit day))
  • 7120-10-02 (MMDYYYY (US, single-digit day))
  • 7120-02-10 (DDMYYYY (Euro, single-digit month))
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 1,027,120 and was likely granted around 1912.

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

Position in π

The digit sequence 1027120 first appears in π at position 596,421 of the decimal expansion (the 596,421ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.