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124,020

124,020 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.).

124,020 (one hundred twenty-four thousand twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 13 × 53. Its proper divisors sum to 288,756, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E474.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number 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
20,421
Recamán's sequence
a(238,124) = 124,020
Square (n²)
15,380,960,400
Cube (n³)
1,907,546,708,808,000
Divisor count
72
σ(n) — sum of divisors
412,776
φ(n) — Euler's totient
29,952
Sum of prime factors
81

Primality

Prime factorization: 2 2 × 3 2 × 5 × 13 × 53

Nearest primes: 124,001 (−19) · 124,021 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 26 · 30 · 36 · 39 · 45 · 52 · 53 · 60 · 65 · 78 · 90 · 106 · 117 · 130 · 156 · 159 · 180 · 195 · 212 · 234 · 260 · 265 · 318 · 390 · 468 · 477 · 530 · 585 · 636 · 689 · 780 · 795 · 954 · 1060 · 1170 · 1378 · 1590 · 1908 · 2067 · 2340 · 2385 · 2756 · 3180 · 3445 · 4134 · 4770 · 6201 · 6890 · 8268 · 9540 · 10335 · 12402 · 13780 · 20670 · 24804 · 31005 · 41340 · 62010 (half) · 124020
Aliquot sum (sum of proper divisors): 288,756
Factor pairs (a × b = 124,020)
1 × 124020
2 × 62010
3 × 41340
4 × 31005
5 × 24804
6 × 20670
9 × 13780
10 × 12402
12 × 10335
13 × 9540
15 × 8268
18 × 6890
20 × 6201
26 × 4770
30 × 4134
36 × 3445
39 × 3180
45 × 2756
52 × 2385
53 × 2340
60 × 2067
65 × 1908
78 × 1590
90 × 1378
106 × 1170
117 × 1060
130 × 954
156 × 795
159 × 780
180 × 689
195 × 636
212 × 585
234 × 530
260 × 477
265 × 468
318 × 390
First multiples
124,020 · 248,040 (double) · 372,060 · 496,080 · 620,100 · 744,120 · 868,140 · 992,160 · 1,116,180 · 1,240,200

Sums & aliquot sequence

As a sum of two squares: 54² + 348² = 84² + 342² = 138² + 324² = 246² + 252²
As consecutive integers: 41,339 + 41,340 + 41,341 24,802 + 24,803 + 24,804 + 24,805 + 24,806 15,499 + 15,500 + … + 15,506 13,776 + 13,777 + … + 13,784
Aliquot sequence: 124,020 288,756 498,576 1,001,328 1,700,880 3,864,240 9,453,360 26,115,792 42,924,432 67,963,808 80,798,848 95,701,952 94,206,736 107,688,328 112,583,432 114,748,708 105,209,492 — unresolved within range

Continued fraction of √n

√124,020 = [352; (6, 14, 4, 1, 4, 1, 1, 2, 1, 7, 1, 43, 7, 2, 1, 1, 3, 1, 18, 1, 3, 1, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand twenty
Ordinal
124020th
Binary
11110010001110100
Octal
362164
Hexadecimal
0x1E474
Base64
AeR0
One's complement
4,294,843,275 (32-bit)
Scientific notation
1.2402 × 10⁵
As a duration
124,020 s = 1 day, 10 hours, 27 minutes
In other bases
ternary (3) 20022010100
quaternary (4) 132101310
quinary (5) 12432040
senary (6) 2354100
septenary (7) 1024401
nonary (9) 208110
undecimal (11) 851a6
duodecimal (12) 5b930
tridecimal (13) 445b0
tetradecimal (14) 332a8
pentadecimal (15) 26b30

As an angle

124,020° = 344 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓎆𓎆
Greek (Milesian)
͵ρκδκʹ
Mayan (base 20)
𝋯·𝋪·𝋡·𝋠
Chinese
一十二萬四千零二十
Chinese (financial)
壹拾貳萬肆仟零貳拾
In other modern scripts
Eastern Arabic ١٢٤٠٢٠ Devanagari १२४०२० Bengali ১২৪০২০ Tamil ௧௨௪௦௨௦ Thai ๑๒๔๐๒๐ Tibetan ༡༢༤༠༢༠ Khmer ១២៤០២០ Lao ໑໒໔໐໒໐ Burmese ၁၂၄၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124020, here are decompositions:

  • 19 + 124001 = 124020
  • 23 + 123997 = 124020
  • 31 + 123989 = 124020
  • 37 + 123983 = 124020
  • 41 + 123979 = 124020
  • 47 + 123973 = 124020
  • 67 + 123953 = 124020
  • 79 + 123941 = 124020

Showing the first eight; more decompositions exist.

Hex color
#01E474
RGB(1, 228, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.228.116.

Address
0.1.228.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.228.116

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 124,020 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°.