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125,840

125,840 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.).

125,840 (one hundred twenty-five thousand eight hundred forty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 11² × 13. Its proper divisors sum to 220,492, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EB90.

Abundant Number Gapful Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
48,521
Recamán's sequence
a(234,484) = 125,840
Square (n²)
15,835,705,600
Cube (n³)
1,992,765,192,704,000
Divisor count
60
σ(n) — sum of divisors
346,332
φ(n) — Euler's totient
42,240
Sum of prime factors
48

Primality

Prime factorization: 2 4 × 5 × 11 2 × 13

Nearest primes: 125,821 (−19) · 125,863 (+23)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 13 · 16 · 20 · 22 · 26 · 40 · 44 · 52 · 55 · 65 · 80 · 88 · 104 · 110 · 121 · 130 · 143 · 176 · 208 · 220 · 242 · 260 · 286 · 440 · 484 · 520 · 572 · 605 · 715 · 880 · 968 · 1040 · 1144 · 1210 · 1430 · 1573 · 1936 · 2288 · 2420 · 2860 · 3146 · 4840 · 5720 · 6292 · 7865 · 9680 · 11440 · 12584 · 15730 · 25168 · 31460 · 62920 (half) · 125840
Aliquot sum (sum of proper divisors): 220,492
Factor pairs (a × b = 125,840)
1 × 125840
2 × 62920
4 × 31460
5 × 25168
8 × 15730
10 × 12584
11 × 11440
13 × 9680
16 × 7865
20 × 6292
22 × 5720
26 × 4840
40 × 3146
44 × 2860
52 × 2420
55 × 2288
65 × 1936
80 × 1573
88 × 1430
104 × 1210
110 × 1144
121 × 1040
130 × 968
143 × 880
176 × 715
208 × 605
220 × 572
242 × 520
260 × 484
286 × 440
First multiples
125,840 · 251,680 (double) · 377,520 · 503,360 · 629,200 · 755,040 · 880,880 · 1,006,720 · 1,132,560 · 1,258,400

Sums & aliquot sequence

As a sum of two squares: 44² + 352² = 176² + 308²
As consecutive integers: 25,166 + 25,167 + 25,168 + 25,169 + 25,170 11,435 + 11,436 + … + 11,445 9,674 + 9,675 + … + 9,686 3,917 + 3,918 + … + 3,948
Aliquot sequence: 125,840 220,492 168,708 248,604 331,500 769,236 1,164,108 1,799,412 2,439,564 3,500,916 4,667,916 7,214,388 10,200,492 17,886,028 13,702,452 18,269,964 27,912,536 — unresolved within range

Continued fraction of √n

√125,840 = [354; (1, 2, 1, 5, 8, 1, 4, 5, 1, 1, 1, 13, 1, 4, 1, 13, 1, 1, 1, 5, 4, 1, 8, 5, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand eight hundred forty
Ordinal
125840th
Binary
11110101110010000
Octal
365620
Hexadecimal
0x1EB90
Base64
AeuQ
One's complement
4,294,841,455 (32-bit)
Scientific notation
1.2584 × 10⁵
As a duration
125,840 s = 1 day, 10 hours, 57 minutes, 20 seconds
In other bases
ternary (3) 20101121202
quaternary (4) 132232100
quinary (5) 13011330
senary (6) 2410332
septenary (7) 1032611
nonary (9) 211552
undecimal (11) 86600
duodecimal (12) 609a8
tridecimal (13) 45380
tetradecimal (14) 33c08
pentadecimal (15) 27445

As an angle

125,840° = 349 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκεωμʹ
Mayan (base 20)
𝋯·𝋮·𝋬·𝋠
Chinese
一十二萬五千八百四十
Chinese (financial)
壹拾貳萬伍仟捌佰肆拾
In other modern scripts
Eastern Arabic ١٢٥٨٤٠ Devanagari १२५८४० Bengali ১২৫৮৪০ Tamil ௧௨௫௮௪௦ Thai ๑๒๕๘๔๐ Tibetan ༡༢༥༨༤༠ Khmer ១២៥៨៤០ Lao ໑໒໕໘໔໐ Burmese ၁၂၅၈၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125840, here are decompositions:

  • 19 + 125821 = 125840
  • 37 + 125803 = 125840
  • 97 + 125743 = 125840
  • 103 + 125737 = 125840
  • 109 + 125731 = 125840
  • 157 + 125683 = 125840
  • 181 + 125659 = 125840
  • 199 + 125641 = 125840

Showing the first eight; more decompositions exist.

Hex color
#01EB90
RGB(1, 235, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.235.144.

Address
0.1.235.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.235.144

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 125,840 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 125840 first appears in π at position 201,515 of the decimal expansion (the 201,515ordinal-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.