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128,240

128,240 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.).

128,240 (one hundred twenty-eight thousand two hundred forty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 229. Its proper divisors sum to 214,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F4F0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
42,821
Recamán's sequence
a(32,764) = 128,240
Square (n²)
16,445,497,600
Cube (n³)
2,108,970,612,224,000
Divisor count
40
σ(n) — sum of divisors
342,240
φ(n) — Euler's totient
43,776
Sum of prime factors
249

Primality

Prime factorization: 2 4 × 5 × 7 × 229

Nearest primes: 128,239 (−1) · 128,257 (+17)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 229 · 280 · 458 · 560 · 916 · 1145 · 1603 · 1832 · 2290 · 3206 · 3664 · 4580 · 6412 · 8015 · 9160 · 12824 · 16030 · 18320 · 25648 · 32060 · 64120 (half) · 128240
Aliquot sum (sum of proper divisors): 214,000
Factor pairs (a × b = 128,240)
1 × 128240
2 × 64120
4 × 32060
5 × 25648
7 × 18320
8 × 16030
10 × 12824
14 × 9160
16 × 8015
20 × 6412
28 × 4580
35 × 3664
40 × 3206
56 × 2290
70 × 1832
80 × 1603
112 × 1145
140 × 916
229 × 560
280 × 458
First multiples
128,240 · 256,480 (double) · 384,720 · 512,960 · 641,200 · 769,440 · 897,680 · 1,025,920 · 1,154,160 · 1,282,400

Sums & aliquot sequence

As a sum of two cubes: 39³ + 41³
As consecutive integers: 25,646 + 25,647 + 25,648 + 25,649 + 25,650 18,317 + 18,318 + … + 18,323 3,992 + 3,993 + … + 4,023 3,647 + 3,648 + … + 3,681
Aliquot sequence: 128,240 214,000 308,288 303,598 151,802 113,248 109,772 97,204 81,996 109,356 165,828 251,260 308,180 373,900 437,680 580,112 630,748 — unresolved within range

Continued fraction of √n

√128,240 = [358; (9, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 44, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 9, 716)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-eight thousand two hundred forty
Ordinal
128240th
Binary
11111010011110000
Octal
372360
Hexadecimal
0x1F4F0
Base64
AfTw
One's complement
4,294,839,055 (32-bit)
Scientific notation
1.2824 × 10⁵
As a duration
128,240 s = 1 day, 11 hours, 37 minutes, 20 seconds
In other bases
ternary (3) 20111220122
quaternary (4) 133103300
quinary (5) 13100430
senary (6) 2425412
septenary (7) 1042610
nonary (9) 214818
undecimal (11) 88392
duodecimal (12) 62268
tridecimal (13) 464a8
tetradecimal (14) 34a40
pentadecimal (15) 27ee5

As an angle

128,240° = 356 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκησμʹ
Mayan (base 20)
𝋰·𝋠·𝋬·𝋠
Chinese
一十二萬八千二百四十
Chinese (financial)
壹拾貳萬捌仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٢٨٢٤٠ Devanagari १२८२४० Bengali ১২৮২৪০ Tamil ௧௨௮௨௪௦ Thai ๑๒๘๒๔๐ Tibetan ༡༢༨༢༤༠ Khmer ១២៨២៤០ Lao ໑໒໘໒໔໐ Burmese ၁၂၈၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128240, here are decompositions:

  • 3 + 128237 = 128240
  • 19 + 128221 = 128240
  • 37 + 128203 = 128240
  • 67 + 128173 = 128240
  • 127 + 128113 = 128240
  • 193 + 128047 = 128240
  • 367 + 127873 = 128240
  • 373 + 127867 = 128240

Showing the first eight; more decompositions exist.

Unicode codepoint
📰
Newspaper
U+1F4F0
Other symbol (So)

UTF-8 encoding: F0 9F 93 B0 (4 bytes).

Hex color
#01F4F0
RGB(1, 244, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.244.240.

Address
0.1.244.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.244.240

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 128,240 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 128240 first appears in π at position 225,590 of the decimal expansion (the 225,590ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.