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139,104

139,104 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.).

139,104 (one hundred thirty-nine thousand one hundred four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3³ × 7 × 23. Its proper divisors sum to 344,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21F60.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
401,931
Recamán's sequence
a(490,619) = 139,104
Square (n²)
19,349,922,816
Cube (n³)
2,691,651,663,396,864
Divisor count
96
σ(n) — sum of divisors
483,840
φ(n) — Euler's totient
38,016
Sum of prime factors
49

Primality

Prime factorization: 2 5 × 3 3 × 7 × 23

Nearest primes: 139,091 (−13) · 139,109 (+5)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 23 · 24 · 27 · 28 · 32 · 36 · 42 · 46 · 48 · 54 · 56 · 63 · 69 · 72 · 84 · 92 · 96 · 108 · 112 · 126 · 138 · 144 · 161 · 168 · 184 · 189 · 207 · 216 · 224 · 252 · 276 · 288 · 322 · 336 · 368 · 378 · 414 · 432 · 483 · 504 · 552 · 621 · 644 · 672 · 736 · 756 · 828 · 864 · 966 · 1008 · 1104 · 1242 · 1288 · 1449 · 1512 · 1656 · 1932 · 2016 · 2208 · 2484 · 2576 · 2898 · 3024 · 3312 · 3864 · 4347 · 4968 · 5152 · 5796 · 6048 · 6624 · 7728 · 8694 · 9936 · 11592 · 15456 · 17388 · 19872 · 23184 · 34776 · 46368 · 69552 (half) · 139104
Aliquot sum (sum of proper divisors): 344,736
Factor pairs (a × b = 139,104)
1 × 139104
2 × 69552
3 × 46368
4 × 34776
6 × 23184
7 × 19872
8 × 17388
9 × 15456
12 × 11592
14 × 9936
16 × 8694
18 × 7728
21 × 6624
23 × 6048
24 × 5796
27 × 5152
28 × 4968
32 × 4347
36 × 3864
42 × 3312
46 × 3024
48 × 2898
54 × 2576
56 × 2484
63 × 2208
69 × 2016
72 × 1932
84 × 1656
92 × 1512
96 × 1449
108 × 1288
112 × 1242
126 × 1104
138 × 1008
144 × 966
161 × 864
168 × 828
184 × 756
189 × 736
207 × 672
216 × 644
224 × 621
252 × 552
276 × 504
288 × 483
322 × 432
336 × 414
368 × 378
First multiples
139,104 · 278,208 (double) · 417,312 · 556,416 · 695,520 · 834,624 · 973,728 · 1,112,832 · 1,251,936 · 1,391,040

Sums & aliquot sequence

As consecutive integers: 46,367 + 46,368 + 46,369 19,869 + 19,870 + … + 19,875 15,452 + 15,453 + … + 15,460 6,614 + 6,615 + … + 6,634
Aliquot sequence: 139,104 344,736 874,944 2,136,480 4,594,944 8,094,208 8,079,422 4,971,994 2,486,000 4,129,648 3,917,952 8,016,048 14,418,156 19,224,236 14,765,692 11,261,148 16,398,372 — unresolved within range

Continued fraction of √n

√139,104 = [372; (1, 28, 1, 5, 5, 20, 1, 1, 8, 1, 4, 3, 9, 82, 1, 3, 2, 2, 1, 6, 1, 2, 1, 185, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand one hundred four
Ordinal
139104th
Binary
100001111101100000
Octal
417540
Hexadecimal
0x21F60
Base64
Ah9g
One's complement
4,294,828,191 (32-bit)
Scientific notation
1.39104 × 10⁵
As a duration
139,104 s = 1 day, 14 hours, 38 minutes, 24 seconds
In other bases
ternary (3) 21001211000
quaternary (4) 201331200
quinary (5) 13422404
senary (6) 2552000
septenary (7) 1116360
nonary (9) 231730
undecimal (11) 95569
duodecimal (12) 68600
tridecimal (13) 4b414
tetradecimal (14) 389a0
pentadecimal (15) 2b339

As an angle

139,104° = 386 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθρδʹ
Mayan (base 20)
𝋱·𝋧·𝋯·𝋤
Chinese
一十三萬九千一百零四
Chinese (financial)
壹拾參萬玖仟壹佰零肆
In other modern scripts
Eastern Arabic ١٣٩١٠٤ Devanagari १३९१०४ Bengali ১৩৯১০৪ Tamil ௧௩௯௧௦௪ Thai ๑๓๙๑๐๔ Tibetan ༡༣༩༡༠༤ Khmer ១៣៩១០៤ Lao ໑໓໙໑໐໔ Burmese ၁၃၉၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139104, here are decompositions:

  • 13 + 139091 = 139104
  • 37 + 139067 = 139104
  • 71 + 139033 = 139104
  • 83 + 139021 = 139104
  • 127 + 138977 = 139104
  • 137 + 138967 = 139104
  • 167 + 138937 = 139104
  • 181 + 138923 = 139104

Showing the first eight; more decompositions exist.

Unicode codepoint
𡽠
CJK Unified Ideograph-21F60
U+21F60
Other letter (Lo)

UTF-8 encoding: F0 A1 BD A0 (4 bytes).

Hex color
#021F60
RGB(2, 31, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.96.

Address
0.2.31.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.96

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 139,104 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°.