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138,220

138,220 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.).

138,220 (one hundred thirty-eight thousand two hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,911. Its proper divisors sum to 152,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21BEC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
22,831
Recamán's sequence
a(492,387) = 138,220
Square (n²)
19,104,768,400
Cube (n³)
2,640,661,088,248,000
Divisor count
12
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
55,280
Sum of prime factors
6,920

Primality

Prime factorization: 2 2 × 5 × 6911

Nearest primes: 138,209 (−11) · 138,239 (+19)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6911 · 13822 · 27644 · 34555 · 69110 (half) · 138220
Aliquot sum (sum of proper divisors): 152,084
Factor pairs (a × b = 138,220)
1 × 138220
2 × 69110
4 × 34555
5 × 27644
10 × 13822
20 × 6911
First multiples
138,220 · 276,440 (double) · 414,660 · 552,880 · 691,100 · 829,320 · 967,540 · 1,105,760 · 1,243,980 · 1,382,200

Sums & aliquot sequence

As consecutive integers: 27,642 + 27,643 + 27,644 + 27,645 + 27,646 17,274 + 17,275 + … + 17,281 3,436 + 3,437 + … + 3,475
Aliquot sequence: 138,220 152,084 116,800 174,538 155,834 111,334 55,670 50,170 43,790 38,290 40,622 23,578 11,792 13,504 13,420 17,828 13,378 — unresolved within range

Continued fraction of √n

√138,220 = [371; (1, 3, 1, 1, 6, 1, 1, 2, 6, 3, 3, 2, 67, 6, 5, 1, 1, 25, 10, 2, 3, 3, 1, 5, …)]

Representations

In words
one hundred thirty-eight thousand two hundred twenty
Ordinal
138220th
Binary
100001101111101100
Octal
415754
Hexadecimal
0x21BEC
Base64
Ahvs
One's complement
4,294,829,075 (32-bit)
Scientific notation
1.3822 × 10⁵
As a duration
138,220 s = 1 day, 14 hours, 23 minutes, 40 seconds
In other bases
ternary (3) 21000121021
quaternary (4) 201233230
quinary (5) 13410340
senary (6) 2543524
septenary (7) 1113655
nonary (9) 230537
undecimal (11) 94935
duodecimal (12) 67ba4
tridecimal (13) 4abb4
tetradecimal (14) 3852c
pentadecimal (15) 2ae4a

As an angle

138,220° = 383 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλησκʹ
Mayan (base 20)
𝋱·𝋥·𝋫·𝋠
Chinese
一十三萬八千二百二十
Chinese (financial)
壹拾參萬捌仟貳佰貳拾
In other modern scripts
Eastern Arabic ١٣٨٢٢٠ Devanagari १३८२२० Bengali ১৩৮২২০ Tamil ௧௩௮௨௨௦ Thai ๑๓๘๒๒๐ Tibetan ༡༣༨༢༢༠ Khmer ១៣៨២២០ Lao ໑໓໘໒໒໐ Burmese ၁၃၈၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138220, here are decompositions:

  • 11 + 138209 = 138220
  • 23 + 138197 = 138220
  • 29 + 138191 = 138220
  • 41 + 138179 = 138220
  • 107 + 138113 = 138220
  • 113 + 138107 = 138220
  • 149 + 138071 = 138220
  • 167 + 138053 = 138220

Showing the first eight; more decompositions exist.

Unicode codepoint
𡯬
CJK Unified Ideograph-21Bec
U+21BEC
Other letter (Lo)

UTF-8 encoding: F0 A1 AF AC (4 bytes).

Hex color
#021BEC
RGB(2, 27, 236)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.236.

Address
0.2.27.236
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.236

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 138,220 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 138220 first appears in π at position 245,936 of the decimal expansion (the 245,936ordinal-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