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129,120

129,120 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.).

129,120 (one hundred twenty-nine thousand one hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 269. Its proper divisors sum to 279,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F860.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
21,921
Recamán's sequence
a(231,400) = 129,120
Square (n²)
16,671,974,400
Cube (n³)
2,152,685,334,528,000
Divisor count
48
σ(n) — sum of divisors
408,240
φ(n) — Euler's totient
34,304
Sum of prime factors
287

Primality

Prime factorization: 2 5 × 3 × 5 × 269

Nearest primes: 129,119 (−1) · 129,121 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 269 · 480 · 538 · 807 · 1076 · 1345 · 1614 · 2152 · 2690 · 3228 · 4035 · 4304 · 5380 · 6456 · 8070 · 8608 · 10760 · 12912 · 16140 · 21520 · 25824 · 32280 · 43040 · 64560 (half) · 129120
Aliquot sum (sum of proper divisors): 279,120
Factor pairs (a × b = 129,120)
1 × 129120
2 × 64560
3 × 43040
4 × 32280
5 × 25824
6 × 21520
8 × 16140
10 × 12912
12 × 10760
15 × 8608
16 × 8070
20 × 6456
24 × 5380
30 × 4304
32 × 4035
40 × 3228
48 × 2690
60 × 2152
80 × 1614
96 × 1345
120 × 1076
160 × 807
240 × 538
269 × 480
First multiples
129,120 · 258,240 (double) · 387,360 · 516,480 · 645,600 · 774,720 · 903,840 · 1,032,960 · 1,162,080 · 1,291,200

Sums & aliquot sequence

As consecutive integers: 43,039 + 43,040 + 43,041 25,822 + 25,823 + 25,824 + 25,825 + 25,826 8,601 + 8,602 + … + 8,615 1,986 + 1,987 + … + 2,049
Aliquot sequence: 129,120 279,120 586,896 929,376 2,097,648 4,614,720 12,941,760 34,680,192 57,440,088 101,753,232 198,662,064 344,755,536 546,556,464 1,022,264,256 2,017,347,648 3,795,188,352 6,285,781,728 — unresolved within range

Continued fraction of √n

√129,120 = [359; (3, 179, 3, 718)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-nine thousand one hundred twenty
Ordinal
129120th
Binary
11111100001100000
Octal
374140
Hexadecimal
0x1F860
Base64
Afhg
One's complement
4,294,838,175 (32-bit)
Scientific notation
1.2912 × 10⁵
As a duration
129,120 s = 1 day, 11 hours, 52 minutes
In other bases
ternary (3) 20120010020
quaternary (4) 133201200
quinary (5) 13112440
senary (6) 2433440
septenary (7) 1045305
nonary (9) 216106
undecimal (11) 89012
duodecimal (12) 62880
tridecimal (13) 46a04
tetradecimal (14) 350ac
pentadecimal (15) 283d0

As an angle

129,120° = 358 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρκθρκʹ
Mayan (base 20)
𝋰·𝋢·𝋰·𝋠
Chinese
一十二萬九千一百二十
Chinese (financial)
壹拾貳萬玖仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٢٩١٢٠ Devanagari १२९१२० Bengali ১২৯১২০ Tamil ௧௨௯௧௨௦ Thai ๑๒๙๑๒๐ Tibetan ༡༢༩༡༢༠ Khmer ១២៩១២០ Lao ໑໒໙໑໒໐ Burmese ၁၂၉၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 129120, here are decompositions:

  • 7 + 129113 = 129120
  • 23 + 129097 = 129120
  • 31 + 129089 = 129120
  • 37 + 129083 = 129120
  • 59 + 129061 = 129120
  • 71 + 129049 = 129120
  • 83 + 129037 = 129120
  • 97 + 129023 = 129120

Showing the first eight; more decompositions exist.

Unicode codepoint
🡠
Wide-Headed Leftwards Light Barb Arrow
U+1F860
Other symbol (So)

UTF-8 encoding: F0 9F A1 A0 (4 bytes).

Hex color
#01F860
RGB(1, 248, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.248.96.

Address
0.1.248.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.248.96

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

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 129,120 and was likely granted around 1872.

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

Position in π

The digit sequence 129120 first appears in π at position 27,394 of the decimal expansion (the 27,394ordinal-suffix:th 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°.