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1,010,140

1,010,140 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.).

1,010,140 (one million ten thousand one hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 2,971. Its proper divisors sum to 1,236,692, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF69DC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
410,101
Square (n²)
1,020,382,819,600
Cube (n³)
1,030,729,501,390,744,000
Divisor count
24
σ(n) — sum of divisors
2,246,832
φ(n) — Euler's totient
380,160
Sum of prime factors
2,997

Primality

Prime factorization: 2 2 × 5 × 17 × 2971

Nearest primes: 1,010,131 (−9) · 1,010,143 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 34 · 68 · 85 · 170 · 340 · 2971 · 5942 · 11884 · 14855 · 29710 · 50507 · 59420 · 101014 · 202028 · 252535 · 505070 (half) · 1010140
Aliquot sum (sum of proper divisors): 1,236,692
Factor pairs (a × b = 1,010,140)
1 × 1010140
2 × 505070
4 × 252535
5 × 202028
10 × 101014
17 × 59420
20 × 50507
34 × 29710
68 × 14855
85 × 11884
170 × 5942
340 × 2971
First multiples
1,010,140 · 2,020,280 (double) · 3,030,420 · 4,040,560 · 5,050,700 · 6,060,840 · 7,070,980 · 8,081,120 · 9,091,260 · 10,101,400

Sums & aliquot sequence

As consecutive integers: 202,026 + 202,027 + 202,028 + 202,029 + 202,030 126,264 + 126,265 + … + 126,271 59,412 + 59,413 + … + 59,428 25,234 + 25,235 + … + 25,273
Aliquot sequence: 1,010,140 1,236,692 927,526 463,766 234,778 117,392 150,448 141,076 124,896 203,208 304,872 457,368 838,632 1,288,248 2,180,952 4,155,048 7,098,402 — unresolved within range

Continued fraction of √n

√1,010,140 = [1005; (17, 2, 11, 3, 1, 2, 2, 13, 14, 1, 4, 2, 2, 2, 1, 4, 1, 6, 4, 2, 1, 1, 1, 2, …)]

Representations

In words
one million ten thousand one hundred forty
Ordinal
1010140th
Binary
11110110100111011100
Octal
3664734
Hexadecimal
0xF69DC
Base64
D2nc
One's complement
4,293,957,155 (32-bit)
Scientific notation
1.01014 × 10⁶
As a duration
1,010,140 s = 11 days, 16 hours, 35 minutes, 40 seconds
In other bases
ternary (3) 1220022122121
quaternary (4) 3312213130
quinary (5) 224311030
senary (6) 33352324
septenary (7) 11405005
nonary (9) 1808577
undecimal (11) 62aa2a
duodecimal (12) 4086a4
tridecimal (13) 294a21
tetradecimal (14) 1c41ac
pentadecimal (15) 14e47a

As an angle

1,010,140° = 2,805 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓍢𓎆𓎆𓎆𓎆
Chinese
一百零一萬零一百四十
Chinese (financial)
壹佰零壹萬零壹佰肆拾
In other modern scripts
Eastern Arabic ١٠١٠١٤٠ Devanagari १०१०१४० Bengali ১০১০১৪০ Tamil ௧௦௧௦௧௪௦ Thai ๑๐๑๐๑๔๐ Tibetan ༡༠༡༠༡༤༠ Khmer ១០១០១៤០ Lao ໑໐໑໐໑໔໐ Burmese ၁၀၁၀၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010140, here are decompositions:

  • 11 + 1010129 = 1010140
  • 59 + 1010081 = 1010140
  • 71 + 1010069 = 1010140
  • 107 + 1010033 = 1010140
  • 137 + 1010003 = 1010140
  • 149 + 1009991 = 1010140
  • 239 + 1009901 = 1010140
  • 281 + 1009859 = 1010140

Showing the first eight; more decompositions exist.

Hex color
#0F69DC
RGB(15, 105, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.220.

Address
0.15.105.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.105.220

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 0140 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0140-10-01 (MMDYYYY (US, single-digit day))
  • 0140-01-10 (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 1,010,140 and was likely granted around 1911.

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

Position in π

The digit sequence 1010140 first appears in π at position 643,993 of the decimal expansion (the 643,993ordinal-suffix:rd 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°.