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1,029,120

1,029,120 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.).

1,029,120 (one million twenty-nine thousand one hundred twenty) is an even 7-digit number. It is a composite number with 88 divisors, and factors as 2¹⁰ × 3 × 5 × 67. Its proper divisors sum to 2,311,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFB400.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
219,201
Square (n²)
1,059,087,974,400
Cube (n³)
1,089,928,616,214,528,000
Divisor count
88
σ(n) — sum of divisors
3,340,704
φ(n) — Euler's totient
270,336
Sum of prime factors
95

Primality

Prime factorization: 2 10 × 3 × 5 × 67

Nearest primes: 1,029,113 (−7) · 1,029,139 (+19)

Divisors & multiples

All divisors (88)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 64 · 67 · 80 · 96 · 120 · 128 · 134 · 160 · 192 · 201 · 240 · 256 · 268 · 320 · 335 · 384 · 402 · 480 · 512 · 536 · 640 · 670 · 768 · 804 · 960 · 1005 · 1024 · 1072 · 1280 · 1340 · 1536 · 1608 · 1920 · 2010 · 2144 · 2560 · 2680 · 3072 · 3216 · 3840 · 4020 · 4288 · 5120 · 5360 · 6432 · 7680 · 8040 · 8576 · 10720 · 12864 · 15360 · 16080 · 17152 · 21440 · 25728 · 32160 · 34304 · 42880 · 51456 · 64320 · 68608 · 85760 · 102912 · 128640 · 171520 · 205824 · 257280 · 343040 · 514560 (half) · 1029120
Aliquot sum (sum of proper divisors): 2,311,584
Factor pairs (a × b = 1,029,120)
1 × 1029120
2 × 514560
3 × 343040
4 × 257280
5 × 205824
6 × 171520
8 × 128640
10 × 102912
12 × 85760
15 × 68608
16 × 64320
20 × 51456
24 × 42880
30 × 34304
32 × 32160
40 × 25728
48 × 21440
60 × 17152
64 × 16080
67 × 15360
80 × 12864
96 × 10720
120 × 8576
128 × 8040
134 × 7680
160 × 6432
192 × 5360
201 × 5120
240 × 4288
256 × 4020
268 × 3840
320 × 3216
335 × 3072
384 × 2680
402 × 2560
480 × 2144
512 × 2010
536 × 1920
640 × 1608
670 × 1536
768 × 1340
804 × 1280
960 × 1072
1005 × 1024
First multiples
1,029,120 · 2,058,240 (double) · 3,087,360 · 4,116,480 · 5,145,600 · 6,174,720 · 7,203,840 · 8,232,960 · 9,262,080 · 10,291,200

Sums & aliquot sequence

As consecutive integers: 343,039 + 343,040 + 343,041 205,822 + 205,823 + 205,824 + 205,825 + 205,826 68,601 + 68,602 + … + 68,615 15,327 + 15,328 + … + 15,393
Aliquot sequence: 1,029,120 2,311,584 4,391,616 7,404,144 14,082,576 22,804,944 36,107,952 57,390,528 106,142,800 149,867,600 210,190,270 173,783,138 96,192,022 55,690,178 33,306,142 18,003,434 10,175,926 — unresolved within range

Continued fraction of √n

√1,029,120 = [1014; (2, 5, 8, 3, 3, 1, 16, 3, 1, 1, 3, 1, 8, 507, 8, 1, 3, 1, 1, 3, 16, 1, 3, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one million twenty-nine thousand one hundred twenty
Ordinal
1029120th
Binary
11111011010000000000
Octal
3732000
Hexadecimal
0xFB400
Base64
D7QA
One's complement
4,293,938,175 (32-bit)
Scientific notation
1.02912 × 10⁶
As a duration
1,029,120 s = 11 days, 21 hours, 52 minutes
In other bases
ternary (3) 1221021200120
quaternary (4) 3323100000
quinary (5) 230412440
senary (6) 34020240
septenary (7) 11514231
nonary (9) 1837616
undecimal (11) 643214
duodecimal (12) 417680
tridecimal (13) 2a0561
tetradecimal (14) 1cb088
pentadecimal (15) 154dd0

As an angle

1,029,120° = 2,858 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Chinese
一百零二萬九千一百二十
Chinese (financial)
壹佰零貳萬玖仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٢٩١٢٠ Devanagari १०२९१२० Bengali ১০২৯১২০ Tamil ௧௦௨௯௧௨௦ Thai ๑๐๒๙๑๒๐ Tibetan ༡༠༢༩༡༢༠ Khmer ១០២៩១២០ Lao ໑໐໒໙໑໒໐ Burmese ၁၀၂၉၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1029120, here are decompositions:

  • 7 + 1029113 = 1029120
  • 11 + 1029109 = 1029120
  • 17 + 1029103 = 1029120
  • 83 + 1029037 = 1029120
  • 97 + 1029023 = 1029120
  • 107 + 1029013 = 1029120
  • 139 + 1028981 = 1029120
  • 151 + 1028969 = 1029120

Showing the first eight; more decompositions exist.

Hex color
#0FB400
RGB(15, 180, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.180.0.

Address
0.15.180.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.180.0

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 2, 9120 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 9120-02-01 (DMMYYYY (Euro, single-digit day))
  • 9120-10-02 (MMDYYYY (US, single-digit day))
  • 9120-02-10 (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 1,029,120 and was likely granted around 1912.

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

Related reading

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