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126,420

126,420 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.).

126,420 (one hundred twenty-six thousand four hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3 × 5 × 7² × 43. Its proper divisors sum to 294,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EDD4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
24,621
Square (n²)
15,982,016,400
Cube (n³)
2,020,446,513,288,000
Divisor count
72
σ(n) — sum of divisors
421,344
φ(n) — Euler's totient
28,224
Sum of prime factors
69

Primality

Prime factorization: 2 2 × 3 × 5 × 7 2 × 43

Nearest primes: 126,397 (−23) · 126,421 (+1)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 14 · 15 · 20 · 21 · 28 · 30 · 35 · 42 · 43 · 49 · 60 · 70 · 84 · 86 · 98 · 105 · 129 · 140 · 147 · 172 · 196 · 210 · 215 · 245 · 258 · 294 · 301 · 420 · 430 · 490 · 516 · 588 · 602 · 645 · 735 · 860 · 903 · 980 · 1204 · 1290 · 1470 · 1505 · 1806 · 2107 · 2580 · 2940 · 3010 · 3612 · 4214 · 4515 · 6020 · 6321 · 8428 · 9030 · 10535 · 12642 · 18060 · 21070 · 25284 · 31605 · 42140 · 63210 (half) · 126420
Aliquot sum (sum of proper divisors): 294,924
Factor pairs (a × b = 126,420)
1 × 126420
2 × 63210
3 × 42140
4 × 31605
5 × 25284
6 × 21070
7 × 18060
10 × 12642
12 × 10535
14 × 9030
15 × 8428
20 × 6321
21 × 6020
28 × 4515
30 × 4214
35 × 3612
42 × 3010
43 × 2940
49 × 2580
60 × 2107
70 × 1806
84 × 1505
86 × 1470
98 × 1290
105 × 1204
129 × 980
140 × 903
147 × 860
172 × 735
196 × 645
210 × 602
215 × 588
245 × 516
258 × 490
294 × 430
301 × 420
First multiples
126,420 · 252,840 (double) · 379,260 · 505,680 · 632,100 · 758,520 · 884,940 · 1,011,360 · 1,137,780 · 1,264,200

Sums & aliquot sequence

As consecutive integers: 42,139 + 42,140 + 42,141 25,282 + 25,283 + 25,284 + 25,285 + 25,286 18,057 + 18,058 + … + 18,063 15,799 + 15,800 + … + 15,806
Aliquot sequence: 126,420 294,924 491,764 591,920 1,019,584 1,037,816 1,184,824 1,113,776 1,063,168 1,059,526 652,058 428,806 315,674 157,840 209,324 165,820 182,444 — unresolved within range

Continued fraction of √n

√126,420 = [355; (1, 1, 3, 1, 34, 1, 3, 1, 1, 710)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand four hundred twenty
Ordinal
126420th
Binary
11110110111010100
Octal
366724
Hexadecimal
0x1EDD4
Base64
Ae3U
One's complement
4,294,840,875 (32-bit)
Scientific notation
1.2642 × 10⁵
As a duration
126,420 s = 1 day, 11 hours, 7 minutes
In other bases
ternary (3) 20102102020
quaternary (4) 132313110
quinary (5) 13021140
senary (6) 2413140
septenary (7) 1034400
nonary (9) 212366
undecimal (11) 86a88
duodecimal (12) 611b0
tridecimal (13) 45708
tetradecimal (14) 34100
pentadecimal (15) 276d0

As an angle

126,420° = 351 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρκϛυκʹ
Mayan (base 20)
𝋯·𝋰·𝋡·𝋠
Chinese
一十二萬六千四百二十
Chinese (financial)
壹拾貳萬陸仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٢٦٤٢٠ Devanagari १२६४२० Bengali ১২৬৪২০ Tamil ௧௨௬௪௨௦ Thai ๑๒๖๔๒๐ Tibetan ༡༢༦༤༢༠ Khmer ១២៦៤២០ Lao ໑໒໖໔໒໐ Burmese ၁၂၆၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126420, here are decompositions:

  • 23 + 126397 = 126420
  • 61 + 126359 = 126420
  • 71 + 126349 = 126420
  • 79 + 126341 = 126420
  • 83 + 126337 = 126420
  • 97 + 126323 = 126420
  • 103 + 126317 = 126420
  • 109 + 126311 = 126420

Showing the first eight; more decompositions exist.

Hex color
#01EDD4
RGB(1, 237, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.237.212.

Address
0.1.237.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.237.212

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 126,420 and was likely granted around 1872.

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

Related reading

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