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125,520

125,520 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.).

125,520 (one hundred twenty-five thousand five hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 523. Its proper divisors sum to 264,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EA50.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
25,521
Recamán's sequence
a(235,124) = 125,520
Square (n²)
15,755,270,400
Cube (n³)
1,977,601,540,608,000
Divisor count
40
σ(n) — sum of divisors
389,856
φ(n) — Euler's totient
33,408
Sum of prime factors
539

Primality

Prime factorization: 2 4 × 3 × 5 × 523

Nearest primes: 125,509 (−11) · 125,527 (+7)

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 · 523 · 1046 · 1569 · 2092 · 2615 · 3138 · 4184 · 5230 · 6276 · 7845 · 8368 · 10460 · 12552 · 15690 · 20920 · 25104 · 31380 · 41840 · 62760 (half) · 125520
Aliquot sum (sum of proper divisors): 264,336
Factor pairs (a × b = 125,520)
1 × 125520
2 × 62760
3 × 41840
4 × 31380
5 × 25104
6 × 20920
8 × 15690
10 × 12552
12 × 10460
15 × 8368
16 × 7845
20 × 6276
24 × 5230
30 × 4184
40 × 3138
48 × 2615
60 × 2092
80 × 1569
120 × 1046
240 × 523
First multiples
125,520 · 251,040 (double) · 376,560 · 502,080 · 627,600 · 753,120 · 878,640 · 1,004,160 · 1,129,680 · 1,255,200

Sums & aliquot sequence

As consecutive integers: 41,839 + 41,840 + 41,841 25,102 + 25,103 + 25,104 + 25,105 + 25,106 8,361 + 8,362 + … + 8,375 3,907 + 3,908 + … + 3,938
Aliquot sequence: 125,520 264,336 418,656 874,104 1,934,856 4,617,144 9,675,576 16,970,784 27,577,776 44,006,928 85,919,280 180,431,232 300,274,368 496,667,904 912,710,976 1,515,752,544 2,465,449,296 — unresolved within range

Continued fraction of √n

√125,520 = [354; (3, 2, 8, 2, 3, 708)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-five thousand five hundred twenty
Ordinal
125520th
Binary
11110101001010000
Octal
365120
Hexadecimal
0x1EA50
Base64
AepQ
One's complement
4,294,841,775 (32-bit)
Scientific notation
1.2552 × 10⁵
As a duration
125,520 s = 1 day, 10 hours, 52 minutes
In other bases
ternary (3) 20101011220
quaternary (4) 132221100
quinary (5) 13004040
senary (6) 2405040
septenary (7) 1031643
nonary (9) 211156
undecimal (11) 8633a
duodecimal (12) 60780
tridecimal (13) 45195
tetradecimal (14) 33a5a
pentadecimal (15) 272d0

As an angle

125,520° = 348 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκεφκʹ
Mayan (base 20)
𝋯·𝋭·𝋰·𝋠
Chinese
一十二萬五千五百二十
Chinese (financial)
壹拾貳萬伍仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٢٥٥٢٠ Devanagari १२५५२० Bengali ১২৫৫২০ Tamil ௧௨௫௫௨௦ Thai ๑๒๕๕๒๐ Tibetan ༡༢༥༥༢༠ Khmer ១២៥៥២០ Lao ໑໒໕໕໒໐ Burmese ၁၂၅၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 125520, here are decompositions:

  • 11 + 125509 = 125520
  • 13 + 125507 = 125520
  • 23 + 125497 = 125520
  • 67 + 125453 = 125520
  • 79 + 125441 = 125520
  • 97 + 125423 = 125520
  • 113 + 125407 = 125520
  • 137 + 125383 = 125520

Showing the first eight; more decompositions exist.

Hex color
#01EA50
RGB(1, 234, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.234.80.

Address
0.1.234.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.234.80

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 125,520 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 125520 first appears in π at position 509,400 of the decimal expansion (the 509,400ordinal-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°.