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139,264

139,264 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.).

139,264 (one hundred thirty-nine thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2¹³ × 17. Its proper divisors sum to 155,630, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22000.

Abundant Number Evil Number Frugal Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,296
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
462,931
Recamán's sequence
a(490,299) = 139,264
Square (n²)
19,394,461,696
Cube (n³)
2,700,950,313,631,744
Divisor count
28
σ(n) — sum of divisors
294,894
φ(n) — Euler's totient
65,536
Sum of prime factors
43

Primality

Prime factorization: 2 13 × 17

Nearest primes: 139,241 (−23) · 139,267 (+3)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 64 · 68 · 128 · 136 · 256 · 272 · 512 · 544 · 1024 · 1088 · 2048 · 2176 · 4096 · 4352 · 8192 · 8704 · 17408 · 34816 · 69632 (half) · 139264
Aliquot sum (sum of proper divisors): 155,630
Factor pairs (a × b = 139,264)
1 × 139264
2 × 69632
4 × 34816
8 × 17408
16 × 8704
17 × 8192
32 × 4352
34 × 4096
64 × 2176
68 × 2048
128 × 1088
136 × 1024
256 × 544
272 × 512
First multiples
139,264 · 278,528 (double) · 417,792 · 557,056 · 696,320 · 835,584 · 974,848 · 1,114,112 · 1,253,376 · 1,392,640

Sums & aliquot sequence

As a sum of two squares: 192² + 320²
As consecutive integers: 8,184 + 8,185 + … + 8,200
Aliquot sequence: 139,264 155,630 129,490 114,158 72,682 36,344 50,056 43,814 25,426 12,716 13,072 14,208 24,552 50,328 90,072 164,028 218,732 — unresolved within range

Continued fraction of √n

√139,264 = [373; (5, 1, 1, 8, 1, 2, 49, 2, 2, 2, 1, 10, 1, 21, 1, 2, 2, 1, 3, 2, 1, 1, 1, 4, …)]

Representations

In words
one hundred thirty-nine thousand two hundred sixty-four
Ordinal
139264th
Binary
100010000000000000
Octal
420000
Hexadecimal
0x22000
Base64
AiAA
One's complement
4,294,828,031 (32-bit)
Scientific notation
1.39264 × 10⁵
As a duration
139,264 s = 1 day, 14 hours, 41 minutes, 4 seconds
In other bases
ternary (3) 21002000221
quaternary (4) 202000000
quinary (5) 13424024
senary (6) 2552424
septenary (7) 1120006
nonary (9) 232027
undecimal (11) 956a4
duodecimal (12) 68714
tridecimal (13) 4b508
tetradecimal (14) 38a76
pentadecimal (15) 2b3e4

As an angle

139,264° = 386 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλθσξδʹ
Mayan (base 20)
𝋱·𝋨·𝋣·𝋤
Chinese
一十三萬九千二百六十四
Chinese (financial)
壹拾參萬玖仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٩٢٦٤ Devanagari १३९२६४ Bengali ১৩৯২৬৪ Tamil ௧௩௯௨௬௪ Thai ๑๓๙๒๖๔ Tibetan ༡༣༩༢༦༤ Khmer ១៣៩២៦៤ Lao ໑໓໙໒໖໔ Burmese ၁၃၉၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139264, here are decompositions:

  • 23 + 139241 = 139264
  • 131 + 139133 = 139264
  • 173 + 139091 = 139264
  • 197 + 139067 = 139264
  • 347 + 138917 = 139264
  • 401 + 138863 = 139264
  • 443 + 138821 = 139264
  • 467 + 138797 = 139264

Showing the first eight; more decompositions exist.

Unicode codepoint
𢀀
CJK Unified Ideograph-22000
U+22000
Other letter (Lo)

UTF-8 encoding: F0 A2 80 80 (4 bytes).

Hex color
#022000
RGB(2, 32, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.32.0.

Address
0.2.32.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.32.0

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 139,264 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 139264 first appears in π at position 370,711 of the decimal expansion (the 370,711ordinal-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