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139,440

139,440 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.).

139,440 (one hundred thirty-nine thousand four hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 5 × 7 × 83. Its proper divisors sum to 360,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x220B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
44,931
Recamán's sequence
a(489,947) = 139,440
Square (n²)
19,443,513,600
Cube (n³)
2,711,203,536,384,000
Divisor count
80
σ(n) — sum of divisors
499,968
φ(n) — Euler's totient
31,488
Sum of prime factors
106

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 83

Nearest primes: 139,439 (−1) · 139,457 (+17)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 28 · 30 · 35 · 40 · 42 · 48 · 56 · 60 · 70 · 80 · 83 · 84 · 105 · 112 · 120 · 140 · 166 · 168 · 210 · 240 · 249 · 280 · 332 · 336 · 415 · 420 · 498 · 560 · 581 · 664 · 830 · 840 · 996 · 1162 · 1245 · 1328 · 1660 · 1680 · 1743 · 1992 · 2324 · 2490 · 2905 · 3320 · 3486 · 3984 · 4648 · 4980 · 5810 · 6640 · 6972 · 8715 · 9296 · 9960 · 11620 · 13944 · 17430 · 19920 · 23240 · 27888 · 34860 · 46480 · 69720 (half) · 139440
Aliquot sum (sum of proper divisors): 360,528
Factor pairs (a × b = 139,440)
1 × 139440
2 × 69720
3 × 46480
4 × 34860
5 × 27888
6 × 23240
7 × 19920
8 × 17430
10 × 13944
12 × 11620
14 × 9960
15 × 9296
16 × 8715
20 × 6972
21 × 6640
24 × 5810
28 × 4980
30 × 4648
35 × 3984
40 × 3486
42 × 3320
48 × 2905
56 × 2490
60 × 2324
70 × 1992
80 × 1743
83 × 1680
84 × 1660
105 × 1328
112 × 1245
120 × 1162
140 × 996
166 × 840
168 × 830
210 × 664
240 × 581
249 × 560
280 × 498
332 × 420
336 × 415
First multiples
139,440 · 278,880 (double) · 418,320 · 557,760 · 697,200 · 836,640 · 976,080 · 1,115,520 · 1,254,960 · 1,394,400

Sums & aliquot sequence

As consecutive integers: 46,479 + 46,480 + 46,481 27,886 + 27,887 + 27,888 + 27,889 + 27,890 19,917 + 19,918 + … + 19,923 9,289 + 9,290 + … + 9,303
Aliquot sequence: 139,440 360,528 770,352 1,402,128 3,472,560 11,151,504 30,012,528 65,425,808 81,915,952 85,417,088 84,750,022 61,164,890 48,931,930 39,145,562 20,143,174 10,071,590 9,026,266 — unresolved within range

Continued fraction of √n

√139,440 = [373; (2, 2, 2, 746)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand four hundred forty
Ordinal
139440th
Binary
100010000010110000
Octal
420260
Hexadecimal
0x220B0
Base64
AiCw
One's complement
4,294,827,855 (32-bit)
Scientific notation
1.3944 × 10⁵
As a duration
139,440 s = 1 day, 14 hours, 44 minutes
In other bases
ternary (3) 21002021110
quaternary (4) 202002300
quinary (5) 13430230
senary (6) 2553320
septenary (7) 1120350
nonary (9) 232243
undecimal (11) 95844
duodecimal (12) 68840
tridecimal (13) 4b612
tetradecimal (14) 38b60
pentadecimal (15) 2b4b0

As an angle

139,440° = 387 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλθυμʹ
Mayan (base 20)
𝋱·𝋨·𝋬·𝋠
Chinese
一十三萬九千四百四十
Chinese (financial)
壹拾參萬玖仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٣٩٤٤٠ Devanagari १३९४४० Bengali ১৩৯৪৪০ Tamil ௧௩௯௪௪௦ Thai ๑๓๙๔๔๐ Tibetan ༡༣༩༤༤༠ Khmer ១៣៩៤៤០ Lao ໑໓໙໔໔໐ Burmese ၁၃၉၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139440, here are decompositions:

  • 11 + 139429 = 139440
  • 17 + 139423 = 139440
  • 31 + 139409 = 139440
  • 43 + 139397 = 139440
  • 47 + 139393 = 139440
  • 53 + 139387 = 139440
  • 71 + 139369 = 139440
  • 73 + 139367 = 139440

Showing the first eight; more decompositions exist.

Unicode codepoint
𢂰
CJK Unified Ideograph-220B0
U+220B0
Other letter (Lo)

UTF-8 encoding: F0 A2 82 B0 (4 bytes).

Hex color
#0220B0
RGB(2, 32, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.176.

Address
0.2.32.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.176

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 139,440 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 139440 first appears in π at position 296,294 of the decimal expansion (the 296,294ordinal-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°.