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125,040

125,040 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.).

125,040 (one hundred twenty-five thousand forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 521. Its proper divisors sum to 263,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1E870.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
40,521
Recamán's sequence
a(236,084) = 125,040
Square (n²)
15,635,001,600
Cube (n³)
1,955,000,600,064,000
Divisor count
40
σ(n) — sum of divisors
388,368
φ(n) — Euler's totient
33,280
Sum of prime factors
537

Primality

Prime factorization: 2 4 × 3 × 5 × 521

Nearest primes: 125,029 (−11) · 125,053 (+13)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 521 · 1042 · 1563 · 2084 · 2605 · 3126 · 4168 · 5210 · 6252 · 7815 · 8336 · 10420 · 12504 · 15630 · 20840 · 25008 · 31260 · 41680 · 62520 (half) · 125040
Aliquot sum (sum of proper divisors): 263,328
Factor pairs (a × b = 125,040)
1 × 125040
2 × 62520
3 × 41680
4 × 31260
5 × 25008
6 × 20840
8 × 15630
10 × 12504
12 × 10420
15 × 8336
16 × 7815
20 × 6252
24 × 5210
30 × 4168
40 × 3126
48 × 2605
60 × 2084
80 × 1563
120 × 1042
240 × 521
First multiples
125,040 · 250,080 (double) · 375,120 · 500,160 · 625,200 · 750,240 · 875,280 · 1,000,320 · 1,125,360 · 1,250,400

Sums & aliquot sequence

As consecutive integers: 41,679 + 41,680 + 41,681 25,006 + 25,007 + 25,008 + 25,009 + 25,010 8,329 + 8,330 + … + 8,343 3,892 + 3,893 + … + 3,923
Aliquot sequence: 125,040 263,328 484,608 807,200 1,165,330 932,282 640,198 394,010 356,698 178,352 174,304 196,136 171,634 85,820 120,484 139,804 139,860 — unresolved within range

Continued fraction of √n

√125,040 = [353; (1, 1, 1, 1, 3, 2, 2, 1, 1, 3, 1, 5, 15, 1, 9, 44, 9, 1, 15, 5, 1, 3, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand forty
Ordinal
125040th
Binary
11110100001110000
Octal
364160
Hexadecimal
0x1E870
Base64
Aehw
One's complement
4,294,842,255 (32-bit)
Scientific notation
1.2504 × 10⁵
As a duration
125,040 s = 1 day, 10 hours, 44 minutes
In other bases
ternary (3) 20100112010
quaternary (4) 132201300
quinary (5) 13000130
senary (6) 2402520
septenary (7) 1030356
nonary (9) 210463
undecimal (11) 85a43
duodecimal (12) 60440
tridecimal (13) 44bb6
tetradecimal (14) 337d6
pentadecimal (15) 270b0

As an angle

125,040° = 347 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκεμʹ
Mayan (base 20)
𝋯·𝋬·𝋬·𝋠
Chinese
一十二萬五千零四十
Chinese (financial)
壹拾貳萬伍仟零肆拾
In other modern scripts
Eastern Arabic ١٢٥٠٤٠ Devanagari १२५०४० Bengali ১২৫০৪০ Tamil ௧௨௫௦௪௦ Thai ๑๒๕๐๔๐ Tibetan ༡༢༥༠༤༠ Khmer ១២៥០៤០ Lao ໑໒໕໐໔໐ Burmese ၁၂၅၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125040, here are decompositions:

  • 11 + 125029 = 125040
  • 23 + 125017 = 125040
  • 37 + 125003 = 125040
  • 53 + 124987 = 125040
  • 59 + 124981 = 125040
  • 61 + 124979 = 125040
  • 89 + 124951 = 125040
  • 131 + 124909 = 125040

Showing the first eight; more decompositions exist.

Unicode codepoint
𞡰
Mende Kikakui Syllable M128 Hoou
U+1E870
Other letter (Lo)

UTF-8 encoding: F0 9E A1 B0 (4 bytes).

Hex color
#01E870
RGB(1, 232, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.232.112.

Address
0.1.232.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.232.112

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 125,040 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 125040 first appears in π at position 721,526 of the decimal expansion (the 721,526ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.