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139,400

139,400 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.).

139,400 (one hundred thirty-nine thousand four hundred) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 5² × 17 × 41. Its proper divisors sum to 212,140, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22088.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
4,931
Recamán's sequence
a(490,027) = 139,400
Square (n²)
19,432,360,000
Cube (n³)
2,708,870,984,000,000
Divisor count
48
σ(n) — sum of divisors
351,540
φ(n) — Euler's totient
51,200
Sum of prime factors
74

Primality

Prime factorization: 2 3 × 5 2 × 17 × 41

Nearest primes: 139,397 (−3) · 139,409 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 17 · 20 · 25 · 34 · 40 · 41 · 50 · 68 · 82 · 85 · 100 · 136 · 164 · 170 · 200 · 205 · 328 · 340 · 410 · 425 · 680 · 697 · 820 · 850 · 1025 · 1394 · 1640 · 1700 · 2050 · 2788 · 3400 · 3485 · 4100 · 5576 · 6970 · 8200 · 13940 · 17425 · 27880 · 34850 · 69700 (half) · 139400
Aliquot sum (sum of proper divisors): 212,140
Factor pairs (a × b = 139,400)
1 × 139400
2 × 69700
4 × 34850
5 × 27880
8 × 17425
10 × 13940
17 × 8200
20 × 6970
25 × 5576
34 × 4100
40 × 3485
41 × 3400
50 × 2788
68 × 2050
82 × 1700
85 × 1640
100 × 1394
136 × 1025
164 × 850
170 × 820
200 × 697
205 × 680
328 × 425
340 × 410
First multiples
139,400 · 278,800 (double) · 418,200 · 557,600 · 697,000 · 836,400 · 975,800 · 1,115,200 · 1,254,600 · 1,394,000

Sums & aliquot sequence

As a sum of two squares: 50² + 370² = 106² + 358² = 130² + 350² = 182² + 326²
As consecutive integers: 27,878 + 27,879 + 27,880 + 27,881 + 27,882 8,705 + 8,706 + … + 8,720 8,192 + 8,193 + … + 8,208 5,564 + 5,565 + … + 5,588
Aliquot sequence: 139,400 212,140 233,396 213,484 187,336 163,934 81,970 86,798 43,402 21,704 19,006 14,258 7,132 5,356 4,836 7,708 6,404 — unresolved within range

Continued fraction of √n

√139,400 = [373; (2, 1, 3, 14, 1, 28, 1, 14, 3, 1, 2, 746)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand four hundred
Ordinal
139400th
Binary
100010000010001000
Octal
420210
Hexadecimal
0x22088
Base64
AiCI
One's complement
4,294,827,895 (32-bit)
Scientific notation
1.394 × 10⁵
As a duration
139,400 s = 1 day, 14 hours, 43 minutes, 20 seconds
In other bases
ternary (3) 21002012222
quaternary (4) 202002020
quinary (5) 13430100
senary (6) 2553212
septenary (7) 1120262
nonary (9) 232188
undecimal (11) 95808
duodecimal (12) 68808
tridecimal (13) 4b5b1
tetradecimal (14) 38b32
pentadecimal (15) 2b485

As an angle

139,400° = 387 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλθυʹ
Mayan (base 20)
𝋱·𝋨·𝋪·𝋠
Chinese
一十三萬九千四百
Chinese (financial)
壹拾參萬玖仟肆佰
In other modern scripts
Eastern Arabic ١٣٩٤٠٠ Devanagari १३९४०० Bengali ১৩৯৪০০ Tamil ௧௩௯௪௦௦ Thai ๑๓๙๔๐๐ Tibetan ༡༣༩༤༠༠ Khmer ១៣៩៤០០ Lao ໑໓໙໔໐໐ Burmese ၁၃၉၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139400, here are decompositions:

  • 3 + 139397 = 139400
  • 7 + 139393 = 139400
  • 13 + 139387 = 139400
  • 31 + 139369 = 139400
  • 61 + 139339 = 139400
  • 67 + 139333 = 139400
  • 97 + 139303 = 139400
  • 103 + 139297 = 139400

Showing the first eight; more decompositions exist.

Unicode codepoint
𢂈
CJK Unified Ideograph-22088
U+22088
Other letter (Lo)

UTF-8 encoding: F0 A2 82 88 (4 bytes).

Hex color
#022088
RGB(2, 32, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.136.

Address
0.2.32.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.136

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 139,400 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 139400 first appears in π at position 224,308 of the decimal expansion (the 224,308ordinal-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.