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1,052,140

1,052,140 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.).

1,052,140 (one million fifty-two thousand one hundred forty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 31 × 1,697. Its proper divisors sum to 1,229,972, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100DEC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious 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
21 bits
Reversed
412,501
Square (n²)
1,106,998,579,600
Cube (n³)
1,164,717,485,540,344,000
Divisor count
24
σ(n) — sum of divisors
2,282,112
φ(n) — Euler's totient
407,040
Sum of prime factors
1,737

Primality

Prime factorization: 2 2 × 5 × 31 × 1697

Nearest primes: 1,052,137 (−3) · 1,052,141 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 31 · 62 · 124 · 155 · 310 · 620 · 1697 · 3394 · 6788 · 8485 · 16970 · 33940 · 52607 · 105214 · 210428 · 263035 · 526070 (half) · 1052140
Aliquot sum (sum of proper divisors): 1,229,972
Factor pairs (a × b = 1,052,140)
1 × 1052140
2 × 526070
4 × 263035
5 × 210428
10 × 105214
20 × 52607
31 × 33940
62 × 16970
124 × 8485
155 × 6788
310 × 3394
620 × 1697
First multiples
1,052,140 · 2,104,280 (double) · 3,156,420 · 4,208,560 · 5,260,700 · 6,312,840 · 7,364,980 · 8,417,120 · 9,469,260 · 10,521,400

Sums & aliquot sequence

As consecutive integers: 210,426 + 210,427 + 210,428 + 210,429 + 210,430 131,514 + 131,515 + … + 131,521 33,925 + 33,926 + … + 33,955 26,284 + 26,285 + … + 26,323
Aliquot sequence: 1,052,140 1,229,972 972,844 746,300 972,340 1,105,652 838,444 636,260 747,220 821,984 892,624 875,120 1,159,720 1,489,880 2,579,560 3,224,540 4,163,092 — unresolved within range

Continued fraction of √n

√1,052,140 = [1025; (1, 2, 1, 4, 1, 4, 3, 1, 33, 2, 3, 49, 1, 2, 1, 227, 5, 5, 1, 2, 9, 5, 3, 1, …)]

Representations

In words
one million fifty-two thousand one hundred forty
Ordinal
1052140th
Binary
100000000110111101100
Octal
4006754
Hexadecimal
0x100DEC
Base64
EA3s
One's complement
4,293,915,155 (32-bit)
Scientific notation
1.05214 × 10⁶
As a duration
1,052,140 s = 12 days, 4 hours, 15 minutes, 40 seconds
In other bases
ternary (3) 1222110021011
quaternary (4) 10000313230
quinary (5) 232132030
senary (6) 34315004
septenary (7) 11641315
nonary (9) 1873234
undecimal (11) 659541
duodecimal (12) 428a64
tridecimal (13) 2aab8b
tetradecimal (14) 1d560c
pentadecimal (15) 15bb2a

As an angle

1,052,140° = 2,922 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆
Chinese
一百零五萬二千一百四十
Chinese (financial)
壹佰零伍萬貳仟壹佰肆拾
In other modern scripts
Eastern Arabic ١٠٥٢١٤٠ Devanagari १०५२१४० Bengali ১০৫২১৪০ Tamil ௧௦௫௨௧௪௦ Thai ๑๐๕๒๑๔๐ Tibetan ༡༠༥༢༡༤༠ Khmer ១០៥២១៤០ Lao ໑໐໕໒໑໔໐ Burmese ၁၀၅၂၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1052140, here are decompositions:

  • 3 + 1052137 = 1052140
  • 29 + 1052111 = 1052140
  • 41 + 1052099 = 1052140
  • 101 + 1052039 = 1052140
  • 113 + 1052027 = 1052140
  • 149 + 1051991 = 1052140
  • 179 + 1051961 = 1052140
  • 191 + 1051949 = 1052140

Showing the first eight; more decompositions exist.

Hex color
#100DEC
RGB(16, 13, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.13.236.

Address
0.16.13.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.13.236

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 2140 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2140-05-01 (DMMYYYY (Euro, single-digit day))
  • 2140-10-05 (MMDYYYY (US, single-digit day))
  • 2140-05-10 (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 1,052,140 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°.