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124,200

124,200 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.).

124,200 (one hundred twenty-four thousand two hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3³ × 5² × 23. Its proper divisors sum to 322,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E528.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
2,421
Recamán's sequence
a(237,764) = 124,200
Square (n²)
15,425,640,000
Cube (n³)
1,915,864,488,000,000
Divisor count
96
σ(n) — sum of divisors
446,400
φ(n) — Euler's totient
31,680
Sum of prime factors
48

Primality

Prime factorization: 2 3 × 3 3 × 5 2 × 23

Nearest primes: 124,199 (−1) · 124,213 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 18 · 20 · 23 · 24 · 25 · 27 · 30 · 36 · 40 · 45 · 46 · 50 · 54 · 60 · 69 · 72 · 75 · 90 · 92 · 100 · 108 · 115 · 120 · 135 · 138 · 150 · 180 · 184 · 200 · 207 · 216 · 225 · 230 · 270 · 276 · 300 · 345 · 360 · 414 · 450 · 460 · 540 · 552 · 575 · 600 · 621 · 675 · 690 · 828 · 900 · 920 · 1035 · 1080 · 1150 · 1242 · 1350 · 1380 · 1656 · 1725 · 1800 · 2070 · 2300 · 2484 · 2700 · 2760 · 3105 · 3450 · 4140 · 4600 · 4968 · 5175 · 5400 · 6210 · 6900 · 8280 · 10350 · 12420 · 13800 · 15525 · 20700 · 24840 · 31050 · 41400 · 62100 (half) · 124200
Aliquot sum (sum of proper divisors): 322,200
Factor pairs (a × b = 124,200)
1 × 124200
2 × 62100
3 × 41400
4 × 31050
5 × 24840
6 × 20700
8 × 15525
9 × 13800
10 × 12420
12 × 10350
15 × 8280
18 × 6900
20 × 6210
23 × 5400
24 × 5175
25 × 4968
27 × 4600
30 × 4140
36 × 3450
40 × 3105
45 × 2760
46 × 2700
50 × 2484
54 × 2300
60 × 2070
69 × 1800
72 × 1725
75 × 1656
90 × 1380
92 × 1350
100 × 1242
108 × 1150
115 × 1080
120 × 1035
135 × 920
138 × 900
150 × 828
180 × 690
184 × 675
200 × 621
207 × 600
216 × 575
225 × 552
230 × 540
270 × 460
276 × 450
300 × 414
345 × 360
First multiples
124,200 · 248,400 (double) · 372,600 · 496,800 · 621,000 · 745,200 · 869,400 · 993,600 · 1,117,800 · 1,242,000

Sums & aliquot sequence

As consecutive integers: 41,399 + 41,400 + 41,401 24,838 + 24,839 + 24,840 + 24,841 + 24,842 13,796 + 13,797 + … + 13,804 8,273 + 8,274 + … + 8,287
Aliquot sequence: 124,200 322,200 765,900 1,806,852 2,409,164 1,824,436 1,368,334 988,730 791,002 413,414 213,394 120,686 60,346 46,502 23,254 20,522 11,350 — unresolved within range

Continued fraction of √n

√124,200 = [352; (2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 704)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand two hundred
Ordinal
124200th
Binary
11110010100101000
Octal
362450
Hexadecimal
0x1E528
Base64
AeUo
One's complement
4,294,843,095 (32-bit)
Scientific notation
1.242 × 10⁵
As a duration
124,200 s = 1 day, 10 hours, 30 minutes
In other bases
ternary (3) 20022101000
quaternary (4) 132110220
quinary (5) 12433300
senary (6) 2355000
septenary (7) 1025046
nonary (9) 208330
undecimal (11) 8534a
duodecimal (12) 5ba60
tridecimal (13) 446bb
tetradecimal (14) 33396
pentadecimal (15) 26c00

As an angle

124,200° = 345 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρκδσʹ
Mayan (base 20)
𝋯·𝋪·𝋪·𝋠
Chinese
一十二萬四千二百
Chinese (financial)
壹拾貳萬肆仟貳佰
In other modern scripts
Eastern Arabic ١٢٤٢٠٠ Devanagari १२४२०० Bengali ১২৪২০০ Tamil ௧௨௪௨௦௦ Thai ๑๒๔๒๐๐ Tibetan ༡༢༤༢༠༠ Khmer ១២៤២០០ Lao ໑໒໔໒໐໐ Burmese ၁၂၄၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124200, here are decompositions:

  • 7 + 124193 = 124200
  • 17 + 124183 = 124200
  • 19 + 124181 = 124200
  • 29 + 124171 = 124200
  • 47 + 124153 = 124200
  • 53 + 124147 = 124200
  • 61 + 124139 = 124200
  • 67 + 124133 = 124200

Showing the first eight; more decompositions exist.

Hex color
#01E528
RGB(1, 229, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.229.40.

Address
0.1.229.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.229.40

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 124,200 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°.