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128,010

128,010 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.).

128,010 (one hundred twenty-eight thousand ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 17 × 251. Its proper divisors sum to 198,582, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F40A.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
10,821
Square (n²)
16,386,560,100
Cube (n³)
2,097,643,558,401,000
Divisor count
32
σ(n) — sum of divisors
326,592
φ(n) — Euler's totient
32,000
Sum of prime factors
278

Primality

Prime factorization: 2 × 3 × 5 × 17 × 251

Nearest primes: 127,997 (−13) · 128,021 (+11)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 17 · 30 · 34 · 51 · 85 · 102 · 170 · 251 · 255 · 502 · 510 · 753 · 1255 · 1506 · 2510 · 3765 · 4267 · 7530 · 8534 · 12801 · 21335 · 25602 · 42670 · 64005 (half) · 128010
Aliquot sum (sum of proper divisors): 198,582
Factor pairs (a × b = 128,010)
1 × 128010
2 × 64005
3 × 42670
5 × 25602
6 × 21335
10 × 12801
15 × 8534
17 × 7530
30 × 4267
34 × 3765
51 × 2510
85 × 1506
102 × 1255
170 × 753
251 × 510
255 × 502
First multiples
128,010 · 256,020 (double) · 384,030 · 512,040 · 640,050 · 768,060 · 896,070 · 1,024,080 · 1,152,090 · 1,280,100

Sums & aliquot sequence

As consecutive integers: 42,669 + 42,670 + 42,671 32,001 + 32,002 + 32,003 + 32,004 25,600 + 25,601 + 25,602 + 25,603 + 25,604 10,662 + 10,663 + … + 10,673
Aliquot sequence: 128,010 198,582 216,138 279,798 279,810 447,930 945,990 1,626,138 1,957,338 2,465,382 2,493,258 2,493,270 4,491,162 6,614,478 9,503,442 13,985,478 19,233,162 — unresolved within range

Continued fraction of √n

√128,010 = [357; (1, 3, 1, 1, 1, 5, 3, 1, 2, 4, 3, 1, 1, 14, 27, 2, 4, 1, 5, 1, 1, 1, 2, 3, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand ten
Ordinal
128010th
Binary
11111010000001010
Octal
372012
Hexadecimal
0x1F40A
Base64
AfQK
One's complement
4,294,839,285 (32-bit)
Scientific notation
1.2801 × 10⁵
As a duration
128,010 s = 1 day, 11 hours, 33 minutes, 30 seconds
In other bases
ternary (3) 20111121010
quaternary (4) 133100022
quinary (5) 13044020
senary (6) 2424350
septenary (7) 1042131
nonary (9) 214533
undecimal (11) 881a3
duodecimal (12) 620b6
tridecimal (13) 4635c
tetradecimal (14) 34918
pentadecimal (15) 27de0

As an angle

128,010° = 355 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆
Greek (Milesian)
͵ρκηιʹ
Mayan (base 20)
𝋰·𝋠·𝋠·𝋪
Chinese
一十二萬八千零一十
Chinese (financial)
壹拾貳萬捌仟零壹拾
In other modern scripts
Eastern Arabic ١٢٨٠١٠ Devanagari १२८०१० Bengali ১২৮০১০ Tamil ௧௨௮௦௧௦ Thai ๑๒๘๐๑๐ Tibetan ༡༢༨༠༡༠ Khmer ១២៨០១០ Lao ໑໒໘໐໑໐ Burmese ၁၂၈၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128010, here are decompositions:

  • 13 + 127997 = 128010
  • 31 + 127979 = 128010
  • 37 + 127973 = 128010
  • 59 + 127951 = 128010
  • 79 + 127931 = 128010
  • 89 + 127921 = 128010
  • 97 + 127913 = 128010
  • 137 + 127873 = 128010

Showing the first eight; more decompositions exist.

Unicode codepoint
🐊
Crocodile
U+1F40A
Other symbol (So)

UTF-8 encoding: F0 9F 90 8A (4 bytes).

Hex color
#01F40A
RGB(1, 244, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.10.

Address
0.1.244.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.10

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 128,010 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 128010 first appears in π at position 865,644 of the decimal expansion (the 865,644ordinal-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°.