number.wiki
Live analysis

138,990

138,990 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.).

138,990 (one hundred thirty-eight thousand nine hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 41 × 113. Its proper divisors sum to 205,746, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EEE.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
99,831
Recamán's sequence
a(490,847) = 138,990
Square (n²)
19,318,220,100
Cube (n³)
2,685,039,411,699,000
Divisor count
32
σ(n) — sum of divisors
344,736
φ(n) — Euler's totient
35,840
Sum of prime factors
164

Primality

Prime factorization: 2 × 3 × 5 × 41 × 113

Nearest primes: 138,977 (−13) · 139,021 (+31)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 41 · 82 · 113 · 123 · 205 · 226 · 246 · 339 · 410 · 565 · 615 · 678 · 1130 · 1230 · 1695 · 3390 · 4633 · 9266 · 13899 · 23165 · 27798 · 46330 · 69495 (half) · 138990
Aliquot sum (sum of proper divisors): 205,746
Factor pairs (a × b = 138,990)
1 × 138990
2 × 69495
3 × 46330
5 × 27798
6 × 23165
10 × 13899
15 × 9266
30 × 4633
41 × 3390
82 × 1695
113 × 1230
123 × 1130
205 × 678
226 × 615
246 × 565
339 × 410
First multiples
138,990 · 277,980 (double) · 416,970 · 555,960 · 694,950 · 833,940 · 972,930 · 1,111,920 · 1,250,910 · 1,389,900

Sums & aliquot sequence

As consecutive integers: 46,329 + 46,330 + 46,331 34,746 + 34,747 + 34,748 + 34,749 27,796 + 27,797 + 27,798 + 27,799 + 27,800 11,577 + 11,578 + … + 11,588
Aliquot sequence: 138,990 205,746 214,158 275,442 294,798 379,122 385,518 515,346 594,798 594,810 992,070 1,639,962 2,029,158 2,571,642 3,143,238 4,155,066 4,886,694 — unresolved within range

Continued fraction of √n

√138,990 = [372; (1, 4, 2, 1, 2, 1, 3, 1, 1, 3, 1, 13, 1, 5, 4, 2, 1, 5, 1, 5, 1, 1, 1, 2, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand nine hundred ninety
Ordinal
138990th
Binary
100001111011101110
Octal
417356
Hexadecimal
0x21EEE
Base64
Ah7u
One's complement
4,294,828,305 (32-bit)
Scientific notation
1.3899 × 10⁵
As a duration
138,990 s = 1 day, 14 hours, 36 minutes, 30 seconds
In other bases
ternary (3) 21001122210
quaternary (4) 201323232
quinary (5) 13421430
senary (6) 2551250
septenary (7) 1116135
nonary (9) 231583
undecimal (11) 95475
duodecimal (12) 68526
tridecimal (13) 4b357
tetradecimal (14) 3891c
pentadecimal (15) 2b2b0

As an angle

138,990° = 386 × 360° + 30°
30° ≈ 0.524 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληϡϟʹ
Mayan (base 20)
𝋱·𝋧·𝋩·𝋪
Chinese
一十三萬八千九百九十
Chinese (financial)
壹拾參萬捌仟玖佰玖拾
In other modern scripts
Eastern Arabic ١٣٨٩٩٠ Devanagari १३८९९० Bengali ১৩৮৯৯০ Tamil ௧௩௮௯௯௦ Thai ๑๓๘๙๙๐ Tibetan ༡༣༨༩༩༠ Khmer ១៣៨៩៩០ Lao ໑໓໘໙໙໐ Burmese ၁၃၈၉၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138990, here are decompositions:

  • 13 + 138977 = 138990
  • 23 + 138967 = 138990
  • 31 + 138959 = 138990
  • 53 + 138937 = 138990
  • 67 + 138923 = 138990
  • 73 + 138917 = 138990
  • 97 + 138893 = 138990
  • 101 + 138889 = 138990

Showing the first eight; more decompositions exist.

Unicode codepoint
𡻮
CJK Unified Ideograph-21Eee
U+21EEE
Other letter (Lo)

UTF-8 encoding: F0 A1 BB AE (4 bytes).

Hex color
#021EEE
RGB(2, 30, 238)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.238.

Address
0.2.30.238
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.238

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 138,990 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 138990 first appears in π at position 445,569 of the decimal expansion (the 445,569ordinal-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°.