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139,200

139,200 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.).

139,200 (one hundred thirty-nine thousand two hundred) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3 × 5² × 29. Its proper divisors sum to 333,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21FC0.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
2,931
Recamán's sequence
a(490,427) = 139,200
Square (n²)
19,376,640,000
Cube (n³)
2,697,228,288,000,000
Divisor count
84
σ(n) — sum of divisors
472,440
φ(n) — Euler's totient
35,840
Sum of prime factors
54

Primality

Prime factorization: 2 6 × 3 × 5 2 × 29

Nearest primes: 139,199 (−1) · 139,201 (+1)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 29 · 30 · 32 · 40 · 48 · 50 · 58 · 60 · 64 · 75 · 80 · 87 · 96 · 100 · 116 · 120 · 145 · 150 · 160 · 174 · 192 · 200 · 232 · 240 · 290 · 300 · 320 · 348 · 400 · 435 · 464 · 480 · 580 · 600 · 696 · 725 · 800 · 870 · 928 · 960 · 1160 · 1200 · 1392 · 1450 · 1600 · 1740 · 1856 · 2175 · 2320 · 2400 · 2784 · 2900 · 3480 · 4350 · 4640 · 4800 · 5568 · 5800 · 6960 · 8700 · 9280 · 11600 · 13920 · 17400 · 23200 · 27840 · 34800 · 46400 · 69600 (half) · 139200
Aliquot sum (sum of proper divisors): 333,240
Factor pairs (a × b = 139,200)
1 × 139200
2 × 69600
3 × 46400
4 × 34800
5 × 27840
6 × 23200
8 × 17400
10 × 13920
12 × 11600
15 × 9280
16 × 8700
20 × 6960
24 × 5800
25 × 5568
29 × 4800
30 × 4640
32 × 4350
40 × 3480
48 × 2900
50 × 2784
58 × 2400
60 × 2320
64 × 2175
75 × 1856
80 × 1740
87 × 1600
96 × 1450
100 × 1392
116 × 1200
120 × 1160
145 × 960
150 × 928
160 × 870
174 × 800
192 × 725
200 × 696
232 × 600
240 × 580
290 × 480
300 × 464
320 × 435
348 × 400
First multiples
139,200 · 278,400 (double) · 417,600 · 556,800 · 696,000 · 835,200 · 974,400 · 1,113,600 · 1,252,800 · 1,392,000

Sums & aliquot sequence

As consecutive integers: 46,399 + 46,400 + 46,401 27,838 + 27,839 + 27,840 + 27,841 + 27,842 9,273 + 9,274 + … + 9,287 5,556 + 5,557 + … + 5,580
Aliquot sequence: 139,200 333,240 666,840 1,334,040 2,668,440 5,566,920 11,868,600 25,450,440 51,791,160 104,628,840 226,317,720 452,635,800 988,529,400 2,473,377,000 5,243,568,600 11,011,495,920 — keeps growing

Continued fraction of √n

√139,200 = [373; (10, 1, 1, 29, 3, 11, 3, 29, 1, 1, 10, 746)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand two hundred
Ordinal
139200th
Binary
100001111111000000
Octal
417700
Hexadecimal
0x21FC0
Base64
Ah/A
One's complement
4,294,828,095 (32-bit)
Scientific notation
1.392 × 10⁵
As a duration
139,200 s = 1 day, 14 hours, 40 minutes
In other bases
ternary (3) 21001221120
quaternary (4) 201333000
quinary (5) 13423300
senary (6) 2552240
septenary (7) 1116555
nonary (9) 231846
undecimal (11) 95646
duodecimal (12) 68680
tridecimal (13) 4b489
tetradecimal (14) 38a2c
pentadecimal (15) 2b3a0

As an angle

139,200° = 386 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρλθσʹ
Mayan (base 20)
𝋱·𝋨·𝋠·𝋠
Chinese
一十三萬九千二百
Chinese (financial)
壹拾參萬玖仟貳佰
In other modern scripts
Eastern Arabic ١٣٩٢٠٠ Devanagari १३९२०० Bengali ১৩৯২০০ Tamil ௧௩௯௨௦௦ Thai ๑๓๙๒๐๐ Tibetan ༡༣༩༢༠༠ Khmer ១៣៩២០០ Lao ໑໓໙໒໐໐ Burmese ၁၃၉၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139200, here are decompositions:

  • 13 + 139187 = 139200
  • 23 + 139177 = 139200
  • 31 + 139169 = 139200
  • 67 + 139133 = 139200
  • 79 + 139121 = 139200
  • 109 + 139091 = 139200
  • 167 + 139033 = 139200
  • 179 + 139021 = 139200

Showing the first eight; more decompositions exist.

Unicode codepoint
𡿀
CJK Unified Ideograph-21Fc0
U+21FC0
Other letter (Lo)

UTF-8 encoding: F0 A1 BF 80 (4 bytes).

Hex color
#021FC0
RGB(2, 31, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.192.

Address
0.2.31.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.192

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 139,200 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 139200 first appears in π at position 753,131 of the decimal expansion (the 753,131ordinal-suffix:st 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°.