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124,080

124,080 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.).

124,080 (one hundred twenty-four thousand eighty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 11 × 47. Its proper divisors sum to 304,464, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E4B0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
80,421
Recamán's sequence
a(238,004) = 124,080
Square (n²)
15,395,846,400
Cube (n³)
1,910,316,621,312,000
Divisor count
80
σ(n) — sum of divisors
428,544
φ(n) — Euler's totient
29,440
Sum of prime factors
74

Primality

Prime factorization: 2 4 × 3 × 5 × 11 × 47

Nearest primes: 124,067 (−13) · 124,087 (+7)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 30 · 33 · 40 · 44 · 47 · 48 · 55 · 60 · 66 · 80 · 88 · 94 · 110 · 120 · 132 · 141 · 165 · 176 · 188 · 220 · 235 · 240 · 264 · 282 · 330 · 376 · 440 · 470 · 517 · 528 · 564 · 660 · 705 · 752 · 880 · 940 · 1034 · 1128 · 1320 · 1410 · 1551 · 1880 · 2068 · 2256 · 2585 · 2640 · 2820 · 3102 · 3760 · 4136 · 5170 · 5640 · 6204 · 7755 · 8272 · 10340 · 11280 · 12408 · 15510 · 20680 · 24816 · 31020 · 41360 · 62040 (half) · 124080
Aliquot sum (sum of proper divisors): 304,464
Factor pairs (a × b = 124,080)
1 × 124080
2 × 62040
3 × 41360
4 × 31020
5 × 24816
6 × 20680
8 × 15510
10 × 12408
11 × 11280
12 × 10340
15 × 8272
16 × 7755
20 × 6204
22 × 5640
24 × 5170
30 × 4136
33 × 3760
40 × 3102
44 × 2820
47 × 2640
48 × 2585
55 × 2256
60 × 2068
66 × 1880
80 × 1551
88 × 1410
94 × 1320
110 × 1128
120 × 1034
132 × 940
141 × 880
165 × 752
176 × 705
188 × 660
220 × 564
235 × 528
240 × 517
264 × 470
282 × 440
330 × 376
First multiples
124,080 · 248,160 (double) · 372,240 · 496,320 · 620,400 · 744,480 · 868,560 · 992,640 · 1,116,720 · 1,240,800

Sums & aliquot sequence

As consecutive integers: 41,359 + 41,360 + 41,361 24,814 + 24,815 + 24,816 + 24,817 + 24,818 11,275 + 11,276 + … + 11,285 8,265 + 8,266 + … + 8,279
Aliquot sequence: 124,080 304,464 482,192 452,086 261,794 161,146 82,394 50,746 25,376 29,308 25,124 22,924 20,924 15,700 18,586 9,296 11,536 — unresolved within range

Continued fraction of √n

√124,080 = [352; (4, 704)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand eighty
Ordinal
124080th
Binary
11110010010110000
Octal
362260
Hexadecimal
0x1E4B0
Base64
AeSw
One's complement
4,294,843,215 (32-bit)
Scientific notation
1.2408 × 10⁵
As a duration
124,080 s = 1 day, 10 hours, 28 minutes
In other bases
ternary (3) 20022012120
quaternary (4) 132102300
quinary (5) 12432310
senary (6) 2354240
septenary (7) 1024515
nonary (9) 208176
undecimal (11) 85250
duodecimal (12) 5b980
tridecimal (13) 44628
tetradecimal (14) 3330c
pentadecimal (15) 26b70

As an angle

124,080° = 344 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκδπʹ
Mayan (base 20)
𝋯·𝋪·𝋤·𝋠
Chinese
一十二萬四千零八十
Chinese (financial)
壹拾貳萬肆仟零捌拾
In other modern scripts
Eastern Arabic ١٢٤٠٨٠ Devanagari १२४०८० Bengali ১২৪০৮০ Tamil ௧௨௪௦௮௦ Thai ๑๒๔๐๘๐ Tibetan ༡༢༤༠༨༠ Khmer ១២៤០៨០ Lao ໑໒໔໐໘໐ Burmese ၁၂၄၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124080, here are decompositions:

  • 13 + 124067 = 124080
  • 59 + 124021 = 124080
  • 79 + 124001 = 124080
  • 83 + 123997 = 124080
  • 97 + 123983 = 124080
  • 101 + 123979 = 124080
  • 107 + 123973 = 124080
  • 127 + 123953 = 124080

Showing the first eight; more decompositions exist.

Hex color
#01E4B0
RGB(1, 228, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.228.176.

Address
0.1.228.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.228.176

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 124,080 and was likely granted around 1871.

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°.