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124,820

124,820 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.).

124,820 (one hundred twenty-four thousand eight hundred twenty) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5 × 79². Its proper divisors sum to 140,662, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E794.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
28,421
Recamán's sequence
a(236,524) = 124,820
Square (n²)
15,580,032,400
Cube (n³)
1,944,699,644,168,000
Divisor count
18
σ(n) — sum of divisors
265,482
φ(n) — Euler's totient
49,296
Sum of prime factors
167

Primality

Prime factorization: 2 2 × 5 × 79 2

Nearest primes: 124,819 (−1) · 124,823 (+3)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 5 · 10 · 20 · 79 · 158 · 316 · 395 · 790 · 1580 · 6241 · 12482 · 24964 · 31205 · 62410 (half) · 124820
Aliquot sum (sum of proper divisors): 140,662
Factor pairs (a × b = 124,820)
1 × 124820
2 × 62410
4 × 31205
5 × 24964
10 × 12482
20 × 6241
79 × 1580
158 × 790
316 × 395
First multiples
124,820 · 249,640 (double) · 374,460 · 499,280 · 624,100 · 748,920 · 873,740 · 998,560 · 1,123,380 · 1,248,200

Sums & aliquot sequence

As a sum of two squares: 158² + 316²
As consecutive integers: 24,962 + 24,963 + 24,964 + 24,965 + 24,966 15,599 + 15,600 + … + 15,606 3,101 + 3,102 + … + 3,140 1,541 + 1,542 + … + 1,619
Aliquot sequence: 124,820 140,662 74,474 42,166 23,354 11,680 16,292 12,226 6,116 5,644 4,940 6,820 9,308 8,332 6,256 7,136 6,976 — unresolved within range

Continued fraction of √n

√124,820 = [353; (3, 2, 1, 7, 4, 5, 1, 1, 2, 15, 1, 1, 1, 140, 1, 1, 1, 15, 2, 1, 1, 5, 4, 7, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-four thousand eight hundred twenty
Ordinal
124820th
Binary
11110011110010100
Octal
363624
Hexadecimal
0x1E794
Base64
AeeU
One's complement
4,294,842,475 (32-bit)
Scientific notation
1.2482 × 10⁵
As a duration
124,820 s = 1 day, 10 hours, 40 minutes, 20 seconds
In other bases
ternary (3) 20100012222
quaternary (4) 132132110
quinary (5) 12443240
senary (6) 2401512
septenary (7) 1026623
nonary (9) 210188
undecimal (11) 85863
duodecimal (12) 60298
tridecimal (13) 44a77
tetradecimal (14) 336ba
pentadecimal (15) 26eb5

As an angle

124,820° = 346 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκδωκʹ
Mayan (base 20)
𝋯·𝋬·𝋡·𝋠
Chinese
一十二萬四千八百二十
Chinese (financial)
壹拾貳萬肆仟捌佰貳拾
In other modern scripts
Eastern Arabic ١٢٤٨٢٠ Devanagari १२४८२० Bengali ১২৪৮২০ Tamil ௧௨௪௮௨௦ Thai ๑๒๔๘๒๐ Tibetan ༡༢༤༨༢༠ Khmer ១២៤៨២០ Lao ໑໒໔໘໒໐ Burmese ၁၂၄၈၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 124820, here are decompositions:

  • 37 + 124783 = 124820
  • 43 + 124777 = 124820
  • 61 + 124759 = 124820
  • 67 + 124753 = 124820
  • 103 + 124717 = 124820
  • 127 + 124693 = 124820
  • 151 + 124669 = 124820
  • 277 + 124543 = 124820

Showing the first eight; more decompositions exist.

Hex color
#01E794
RGB(1, 231, 148)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.231.148.

Address
0.1.231.148
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.231.148

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 124,820 and was likely granted around 1871.

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

Position in π

The digit sequence 124820 first appears in π at position 46,710 of the decimal expansion (the 46,710ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.