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124,320

124,320 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.).

124,320 (one hundred twenty-four thousand three hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 7 × 37. Its proper divisors sum to 335,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E5A0.

Abundant Number Arithmetic 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
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
23,421
Recamán's sequence
a(237,524) = 124,320
Square (n²)
15,455,462,400
Cube (n³)
1,921,423,085,568,000
Divisor count
96
σ(n) — sum of divisors
459,648
φ(n) — Euler's totient
27,648
Sum of prime factors
62

Primality

Prime factorization: 2 5 × 3 × 5 × 7 × 37

Nearest primes: 124,309 (−11) · 124,337 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 32 · 35 · 37 · 40 · 42 · 48 · 56 · 60 · 70 · 74 · 80 · 84 · 96 · 105 · 111 · 112 · 120 · 140 · 148 · 160 · 168 · 185 · 210 · 222 · 224 · 240 · 259 · 280 · 296 · 336 · 370 · 420 · 444 · 480 · 518 · 555 · 560 · 592 · 672 · 740 · 777 · 840 · 888 · 1036 · 1110 · 1120 · 1184 · 1295 · 1480 · 1554 · 1680 · 1776 · 2072 · 2220 · 2590 · 2960 · 3108 · 3360 · 3552 · 3885 · 4144 · 4440 · 5180 · 5920 · 6216 · 7770 · 8288 · 8880 · 10360 · 12432 · 15540 · 17760 · 20720 · 24864 · 31080 · 41440 · 62160 (half) · 124320
Aliquot sum (sum of proper divisors): 335,328
Factor pairs (a × b = 124,320)
1 × 124320
2 × 62160
3 × 41440
4 × 31080
5 × 24864
6 × 20720
7 × 17760
8 × 15540
10 × 12432
12 × 10360
14 × 8880
15 × 8288
16 × 7770
20 × 6216
21 × 5920
24 × 5180
28 × 4440
30 × 4144
32 × 3885
35 × 3552
37 × 3360
40 × 3108
42 × 2960
48 × 2590
56 × 2220
60 × 2072
70 × 1776
74 × 1680
80 × 1554
84 × 1480
96 × 1295
105 × 1184
111 × 1120
112 × 1110
120 × 1036
140 × 888
148 × 840
160 × 777
168 × 740
185 × 672
210 × 592
222 × 560
224 × 555
240 × 518
259 × 480
280 × 444
296 × 420
336 × 370
First multiples
124,320 · 248,640 (double) · 372,960 · 497,280 · 621,600 · 745,920 · 870,240 · 994,560 · 1,118,880 · 1,243,200

Sums & aliquot sequence

As consecutive integers: 41,439 + 41,440 + 41,441 24,862 + 24,863 + 24,864 + 24,865 + 24,866 17,757 + 17,758 + … + 17,763 8,281 + 8,282 + … + 8,295
Aliquot sequence: 124,320 335,328 672,672 1,740,480 4,861,488 7,697,480 12,658,360 20,817,320 26,021,740 31,000,820 35,862,004 27,131,696 30,007,504 30,702,896 41,673,424 52,320,560 82,896,976 — unresolved within range

Continued fraction of √n

√124,320 = [352; (1, 1, 2, 3, 1, 3, 2, 1, 1, 704)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand three hundred twenty
Ordinal
124320th
Binary
11110010110100000
Octal
362640
Hexadecimal
0x1E5A0
Base64
AeWg
One's complement
4,294,842,975 (32-bit)
Scientific notation
1.2432 × 10⁵
As a duration
124,320 s = 1 day, 10 hours, 32 minutes
In other bases
ternary (3) 20022112110
quaternary (4) 132112200
quinary (5) 12434240
senary (6) 2355320
septenary (7) 1025310
nonary (9) 208473
undecimal (11) 85449
duodecimal (12) 5bb40
tridecimal (13) 44781
tetradecimal (14) 33440
pentadecimal (15) 26c80

As an angle

124,320° = 345 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκδτκʹ
Mayan (base 20)
𝋯·𝋪·𝋰·𝋠
Chinese
一十二萬四千三百二十
Chinese (financial)
壹拾貳萬肆仟參佰貳拾
In other modern scripts
Eastern Arabic ١٢٤٣٢٠ Devanagari १२४३२० Bengali ১২৪৩২০ Tamil ௧௨௪௩௨௦ Thai ๑๒๔๓๒๐ Tibetan ༡༢༤༣༢༠ Khmer ១២៤៣២០ Lao ໑໒໔໓໒໐ Burmese ၁၂၄၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124320, here are decompositions:

  • 11 + 124309 = 124320
  • 17 + 124303 = 124320
  • 19 + 124301 = 124320
  • 23 + 124297 = 124320
  • 29 + 124291 = 124320
  • 43 + 124277 = 124320
  • 71 + 124249 = 124320
  • 73 + 124247 = 124320

Showing the first eight; more decompositions exist.

Hex color
#01E5A0
RGB(1, 229, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.229.160.

Address
0.1.229.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.229.160

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 124,320 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°.