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1,016,140

1,016,140 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.).

1,016,140 (one million sixteen thousand one hundred forty) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 5 × 23 × 47². Its proper divisors sum to 1,258,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF814C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Practical 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
416,101
Square (n²)
1,032,540,499,600
Cube (n³)
1,049,205,703,263,544,000
Divisor count
36
σ(n) — sum of divisors
2,275,056
φ(n) — Euler's totient
380,512
Sum of prime factors
126

Primality

Prime factorization: 2 2 × 5 × 23 × 47 2

Nearest primes: 1,016,137 (−3) · 1,016,143 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 10 · 20 · 23 · 46 · 47 · 92 · 94 · 115 · 188 · 230 · 235 · 460 · 470 · 940 · 1081 · 2162 · 2209 · 4324 · 4418 · 5405 · 8836 · 10810 · 11045 · 21620 · 22090 · 44180 · 50807 · 101614 · 203228 · 254035 · 508070 (half) · 1016140
Aliquot sum (sum of proper divisors): 1,258,916
Factor pairs (a × b = 1,016,140)
1 × 1016140
2 × 508070
4 × 254035
5 × 203228
10 × 101614
20 × 50807
23 × 44180
46 × 22090
47 × 21620
92 × 11045
94 × 10810
115 × 8836
188 × 5405
230 × 4418
235 × 4324
460 × 2209
470 × 2162
940 × 1081
First multiples
1,016,140 · 2,032,280 (double) · 3,048,420 · 4,064,560 · 5,080,700 · 6,096,840 · 7,112,980 · 8,129,120 · 9,145,260 · 10,161,400

Sums & aliquot sequence

As consecutive integers: 203,226 + 203,227 + 203,228 + 203,229 + 203,230 127,014 + 127,015 + … + 127,021 44,169 + 44,170 + … + 44,191 25,384 + 25,385 + … + 25,423
Aliquot sequence: 1,016,140 1,258,916 952,972 809,012 641,584 601,516 451,144 394,766 197,386 156,278 78,142 40,658 22,522 11,264 13,300 21,420 57,204 — unresolved within range

Continued fraction of √n

√1,016,140 = [1008; (26, 1, 1, 8, 1, 4, 1, 2, 4, 2, 5, 2, 182, 1, 4, 1, 1, 1, 1, 6, 2, 7, 33, 2, …)]

Representations

In words
one million sixteen thousand one hundred forty
Ordinal
1016140th
Binary
11111000000101001100
Octal
3700514
Hexadecimal
0xF814C
Base64
D4FM
One's complement
4,293,951,155 (32-bit)
Scientific notation
1.01614 × 10⁶
As a duration
1,016,140 s = 11 days, 18 hours, 15 minutes, 40 seconds
In other bases
ternary (3) 1220121212211
quaternary (4) 3320011030
quinary (5) 230004030
senary (6) 33440204
septenary (7) 11431336
nonary (9) 1817784
undecimal (11) 634494
duodecimal (12) 410064
tridecimal (13) 297688
tetradecimal (14) 1c6456
pentadecimal (15) 15112a

As an angle

1,016,140° = 2,822 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬六千一百四十
Chinese (financial)
壹佰零壹萬陸仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٠١٦١٤٠ Devanagari १०१६१४० Bengali ১০১৬১৪০ Tamil ௧௦௧௬௧௪௦ Thai ๑๐๑๖๑๔๐ Tibetan ༡༠༡༦༡༤༠ Khmer ១០១៦១៤០ Lao ໑໐໑໖໑໔໐ Burmese ၁၀၁၆၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016140, here are decompositions:

  • 3 + 1016137 = 1016140
  • 17 + 1016123 = 1016140
  • 29 + 1016111 = 1016140
  • 71 + 1016069 = 1016140
  • 89 + 1016051 = 1016140
  • 107 + 1016033 = 1016140
  • 113 + 1016027 = 1016140
  • 131 + 1016009 = 1016140

Showing the first eight; more decompositions exist.

Hex color
#0F814C
RGB(15, 129, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.129.76.

Address
0.15.129.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.129.76

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 6140 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 6140-10-01 (MMDYYYY (US, single-digit day))
  • 6140-01-10 (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 1,016,140 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°.