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138,450

138,450 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.).

138,450 (one hundred thirty-eight thousand four hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5² × 13 × 71. Its proper divisors sum to 236,526, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CD2.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
54,831
Recamán's sequence
a(491,927) = 138,450
Square (n²)
19,168,402,500
Cube (n³)
2,653,865,326,125,000
Divisor count
48
σ(n) — sum of divisors
374,976
φ(n) — Euler's totient
33,600
Sum of prime factors
99

Primality

Prime factorization: 2 × 3 × 5 2 × 13 × 71

Nearest primes: 138,449 (−1) · 138,451 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 10 · 13 · 15 · 25 · 26 · 30 · 39 · 50 · 65 · 71 · 75 · 78 · 130 · 142 · 150 · 195 · 213 · 325 · 355 · 390 · 426 · 650 · 710 · 923 · 975 · 1065 · 1775 · 1846 · 1950 · 2130 · 2769 · 3550 · 4615 · 5325 · 5538 · 9230 · 10650 · 13845 · 23075 · 27690 · 46150 · 69225 (half) · 138450
Aliquot sum (sum of proper divisors): 236,526
Factor pairs (a × b = 138,450)
1 × 138450
2 × 69225
3 × 46150
5 × 27690
6 × 23075
10 × 13845
13 × 10650
15 × 9230
25 × 5538
26 × 5325
30 × 4615
39 × 3550
50 × 2769
65 × 2130
71 × 1950
75 × 1846
78 × 1775
130 × 1065
142 × 975
150 × 923
195 × 710
213 × 650
325 × 426
355 × 390
First multiples
138,450 · 276,900 (double) · 415,350 · 553,800 · 692,250 · 830,700 · 969,150 · 1,107,600 · 1,246,050 · 1,384,500

Sums & aliquot sequence

As consecutive integers: 46,149 + 46,150 + 46,151 34,611 + 34,612 + 34,613 + 34,614 27,688 + 27,689 + 27,690 + 27,691 + 27,692 11,532 + 11,533 + … + 11,543
Aliquot sequence: 138,450 236,526 243,474 420,078 436,578 436,590 1,053,162 1,541,430 3,006,234 5,426,982 7,400,898 8,863,038 11,003,562 12,904,218 15,771,942 19,765,818 23,060,160 — unresolved within range

Continued fraction of √n

√138,450 = [372; (11, 3, 1, 1, 1, 5, 1, 1, 18, 1, 1, 5, 1, 1, 1, 3, 11, 744)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred fifty
Ordinal
138450th
Binary
100001110011010010
Octal
416322
Hexadecimal
0x21CD2
Base64
AhzS
One's complement
4,294,828,845 (32-bit)
Scientific notation
1.3845 × 10⁵
As a duration
138,450 s = 1 day, 14 hours, 27 minutes, 30 seconds
In other bases
ternary (3) 21000220210
quaternary (4) 201303102
quinary (5) 13412300
senary (6) 2544550
septenary (7) 1114434
nonary (9) 230823
undecimal (11) 95024
duodecimal (12) 68156
tridecimal (13) 4b030
tetradecimal (14) 38654
pentadecimal (15) 2b050
Palindromic in base 4

As an angle

138,450° = 384 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληυνʹ
Mayan (base 20)
𝋱·𝋦·𝋢·𝋪
Chinese
一十三萬八千四百五十
Chinese (financial)
壹拾參萬捌仟肆佰伍拾
In other modern scripts
Eastern Arabic ١٣٨٤٥٠ Devanagari १३८४५० Bengali ১৩৮৪৫০ Tamil ௧௩௮௪௫௦ Thai ๑๓๘๔๕๐ Tibetan ༡༣༨༤༥༠ Khmer ១៣៨៤៥០ Lao ໑໓໘໔໕໐ Burmese ၁၃၈၄၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138450, here are decompositions:

  • 17 + 138433 = 138450
  • 23 + 138427 = 138450
  • 43 + 138407 = 138450
  • 47 + 138403 = 138450
  • 61 + 138389 = 138450
  • 79 + 138371 = 138450
  • 101 + 138349 = 138450
  • 113 + 138337 = 138450

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳒
CJK Unified Ideograph-21Cd2
U+21CD2
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 92 (4 bytes).

Hex color
#021CD2
RGB(2, 28, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.210.

Address
0.2.28.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.210

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 138,450 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°.