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126,240

126,240 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.).

126,240 (one hundred twenty-six thousand two hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 5 × 263. Its proper divisors sum to 272,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ED20.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable 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
42,621
Square (n²)
15,936,537,600
Cube (n³)
2,011,828,506,624,000
Divisor count
48
σ(n) — sum of divisors
399,168
φ(n) — Euler's totient
33,536
Sum of prime factors
281

Primality

Prime factorization: 2 5 × 3 × 5 × 263

Nearest primes: 126,233 (−7) · 126,241 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 60 · 80 · 96 · 120 · 160 · 240 · 263 · 480 · 526 · 789 · 1052 · 1315 · 1578 · 2104 · 2630 · 3156 · 3945 · 4208 · 5260 · 6312 · 7890 · 8416 · 10520 · 12624 · 15780 · 21040 · 25248 · 31560 · 42080 · 63120 (half) · 126240
Aliquot sum (sum of proper divisors): 272,928
Factor pairs (a × b = 126,240)
1 × 126240
2 × 63120
3 × 42080
4 × 31560
5 × 25248
6 × 21040
8 × 15780
10 × 12624
12 × 10520
15 × 8416
16 × 7890
20 × 6312
24 × 5260
30 × 4208
32 × 3945
40 × 3156
48 × 2630
60 × 2104
80 × 1578
96 × 1315
120 × 1052
160 × 789
240 × 526
263 × 480
First multiples
126,240 · 252,480 (double) · 378,720 · 504,960 · 631,200 · 757,440 · 883,680 · 1,009,920 · 1,136,160 · 1,262,400

Sums & aliquot sequence

As consecutive integers: 42,079 + 42,080 + 42,081 25,246 + 25,247 + 25,248 + 25,249 + 25,250 8,409 + 8,410 + … + 8,423 1,941 + 1,942 + … + 2,004
Aliquot sequence: 126,240 272,928 443,760 964,632 1,447,008 2,351,640 4,703,640 10,157,160 24,679,320 49,359,000 104,650,440 210,061,560 420,123,480 1,024,830,120 2,058,353,880 5,322,625,320 10,645,251,000 — keeps growing

Continued fraction of √n

√126,240 = [355; (3, 3, 3, 2, 2, 1, 1, 1, 3, 1, 5, 5, 2, 1, 46, 1, 2, 5, 5, 1, 3, 1, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand two hundred forty
Ordinal
126240th
Binary
11110110100100000
Octal
366440
Hexadecimal
0x1ED20
Base64
Ae0g
One's complement
4,294,841,055 (32-bit)
Scientific notation
1.2624 × 10⁵
As a duration
126,240 s = 1 day, 11 hours, 4 minutes
In other bases
ternary (3) 20102011120
quaternary (4) 132310200
quinary (5) 13014430
senary (6) 2412240
septenary (7) 1034022
nonary (9) 212146
undecimal (11) 86934
duodecimal (12) 61080
tridecimal (13) 455ca
tetradecimal (14) 34012
pentadecimal (15) 27610

As an angle

126,240° = 350 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκϛσμʹ
Mayan (base 20)
𝋯·𝋯·𝋬·𝋠
Chinese
一十二萬六千二百四十
Chinese (financial)
壹拾貳萬陸仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٢٦٢٤٠ Devanagari १२६२४० Bengali ১২৬২৪০ Tamil ௧௨௬௨௪௦ Thai ๑๒๖๒๔๐ Tibetan ༡༢༦༢༤༠ Khmer ១២៦២៤០ Lao ໑໒໖໒໔໐ Burmese ၁၂၆၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126240, here are decompositions:

  • 7 + 126233 = 126240
  • 11 + 126229 = 126240
  • 13 + 126227 = 126240
  • 17 + 126223 = 126240
  • 29 + 126211 = 126240
  • 41 + 126199 = 126240
  • 67 + 126173 = 126240
  • 89 + 126151 = 126240

Showing the first eight; more decompositions exist.

Unicode codepoint
𞴠
Ottoman Siyaq Number Five Thousand
U+1ED20
Other number (No)

UTF-8 encoding: F0 9E B4 A0 (4 bytes).

Hex color
#01ED20
RGB(1, 237, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.237.32.

Address
0.1.237.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.237.32

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 126,240 and was likely granted around 1872.

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

Position in π

The digit sequence 126240 first appears in π at position 62,340 of the decimal expansion (the 62,340ordinal-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°.