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1,021,140

1,021,140 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.).

1,021,140 (one million twenty-one thousand one hundred forty) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2² × 3³ × 5 × 31 × 61. Its proper divisors sum to 2,311,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF94D4.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
411,201
Square (n²)
1,042,726,899,600
Cube (n³)
1,064,770,146,257,544,000
Divisor count
96
σ(n) — sum of divisors
3,333,120
φ(n) — Euler's totient
259,200
Sum of prime factors
110

Primality

Prime factorization: 2 2 × 3 3 × 5 × 31 × 61

Nearest primes: 1,021,129 (−11) · 1,021,157 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 27 · 30 · 31 · 36 · 45 · 54 · 60 · 61 · 62 · 90 · 93 · 108 · 122 · 124 · 135 · 155 · 180 · 183 · 186 · 244 · 270 · 279 · 305 · 310 · 366 · 372 · 465 · 540 · 549 · 558 · 610 · 620 · 732 · 837 · 915 · 930 · 1098 · 1116 · 1220 · 1395 · 1647 · 1674 · 1830 · 1860 · 1891 · 2196 · 2745 · 2790 · 3294 · 3348 · 3660 · 3782 · 4185 · 5490 · 5580 · 5673 · 6588 · 7564 · 8235 · 8370 · 9455 · 10980 · 11346 · 16470 · 16740 · 17019 · 18910 · 22692 · 28365 · 32940 · 34038 · 37820 · 51057 · 56730 · 68076 · 85095 · 102114 · 113460 · 170190 · 204228 · 255285 · 340380 · 510570 (half) · 1021140
Aliquot sum (sum of proper divisors): 2,311,980
Factor pairs (a × b = 1,021,140)
1 × 1021140
2 × 510570
3 × 340380
4 × 255285
5 × 204228
6 × 170190
9 × 113460
10 × 102114
12 × 85095
15 × 68076
18 × 56730
20 × 51057
27 × 37820
30 × 34038
31 × 32940
36 × 28365
45 × 22692
54 × 18910
60 × 17019
61 × 16740
62 × 16470
90 × 11346
93 × 10980
108 × 9455
122 × 8370
124 × 8235
135 × 7564
155 × 6588
180 × 5673
183 × 5580
186 × 5490
244 × 4185
270 × 3782
279 × 3660
305 × 3348
310 × 3294
366 × 2790
372 × 2745
465 × 2196
540 × 1891
549 × 1860
558 × 1830
610 × 1674
620 × 1647
732 × 1395
837 × 1220
915 × 1116
930 × 1098
First multiples
1,021,140 · 2,042,280 (double) · 3,063,420 · 4,084,560 · 5,105,700 · 6,126,840 · 7,147,980 · 8,169,120 · 9,190,260 · 10,211,400

Sums & aliquot sequence

As consecutive integers: 340,379 + 340,380 + 340,381 204,226 + 204,227 + 204,228 + 204,229 + 204,230 127,639 + 127,640 + … + 127,646 113,456 + 113,457 + … + 113,464
Aliquot sequence: 1,021,140 2,311,980 5,042,388 7,628,620 8,633,444 6,530,824 5,714,486 2,912,314 1,456,160 2,172,640 3,113,312 3,554,608 3,332,476 3,725,540 6,435,100 10,126,340 14,613,256 — unresolved within range

Continued fraction of √n

√1,021,140 = [1010; (1, 1, 16, 2, 14, 2, 16, 1, 1, 2020)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one million twenty-one thousand one hundred forty
Ordinal
1021140th
Binary
11111001010011010100
Octal
3712324
Hexadecimal
0xF94D4
Base64
D5TU
One's complement
4,293,946,155 (32-bit)
Scientific notation
1.02114 × 10⁶
As a duration
1,021,140 s = 11 days, 19 hours, 39 minutes
In other bases
ternary (3) 1220212202000
quaternary (4) 3321103110
quinary (5) 230134030
senary (6) 33515300
septenary (7) 11452041
nonary (9) 1825660
undecimal (11) 63821a
duodecimal (12) 412b30
tridecimal (13) 299a33
tetradecimal (14) 1c81c8
pentadecimal (15) 152860

As an angle

1,021,140° = 2,836 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆
Chinese
一百零二萬一千一百四十
Chinese (financial)
壹佰零貳萬壹仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٠٢١١٤٠ Devanagari १०२११४० Bengali ১০২১১৪০ Tamil ௧௦௨௧௧௪௦ Thai ๑๐๒๑๑๔๐ Tibetan ༡༠༢༡༡༤༠ Khmer ១០២១១៤០ Lao ໑໐໒໑໑໔໐ Burmese ၁၀၂၁၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1021140, here are decompositions:

  • 11 + 1021129 = 1021140
  • 13 + 1021127 = 1021140
  • 17 + 1021123 = 1021140
  • 47 + 1021093 = 1021140
  • 53 + 1021087 = 1021140
  • 59 + 1021081 = 1021140
  • 67 + 1021073 = 1021140
  • 73 + 1021067 = 1021140

Showing the first eight; more decompositions exist.

Hex color
#0F94D4
RGB(15, 148, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.148.212.

Address
0.15.148.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.148.212

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 1140 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1140-02-01 (DMMYYYY (Euro, single-digit day))
  • 1140-10-02 (MMDYYYY (US, single-digit day))
  • 1140-02-10 (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 1,021,140 and was likely granted around 1912.

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°.