number.wiki
Live analysis

139,040

139,040 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.).

139,040 (one hundred thirty-nine thousand forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 11 × 79. Its proper divisors sum to 223,840, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21F20.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number 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
40,931
Recamán's sequence
a(490,747) = 139,040
Square (n²)
19,332,121,600
Cube (n³)
2,687,938,187,264,000
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
49,920
Sum of prime factors
105

Primality

Prime factorization: 2 5 × 5 × 11 × 79

Nearest primes: 139,033 (−7) · 139,067 (+27)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 16 · 20 · 22 · 32 · 40 · 44 · 55 · 79 · 80 · 88 · 110 · 158 · 160 · 176 · 220 · 316 · 352 · 395 · 440 · 632 · 790 · 869 · 880 · 1264 · 1580 · 1738 · 1760 · 2528 · 3160 · 3476 · 4345 · 6320 · 6952 · 8690 · 12640 · 13904 · 17380 · 27808 · 34760 · 69520 (half) · 139040
Aliquot sum (sum of proper divisors): 223,840
Factor pairs (a × b = 139,040)
1 × 139040
2 × 69520
4 × 34760
5 × 27808
8 × 17380
10 × 13904
11 × 12640
16 × 8690
20 × 6952
22 × 6320
32 × 4345
40 × 3476
44 × 3160
55 × 2528
79 × 1760
80 × 1738
88 × 1580
110 × 1264
158 × 880
160 × 869
176 × 790
220 × 632
316 × 440
352 × 395
First multiples
139,040 · 278,080 (double) · 417,120 · 556,160 · 695,200 · 834,240 · 973,280 · 1,112,320 · 1,251,360 · 1,390,400

Sums & aliquot sequence

As consecutive integers: 27,806 + 27,807 + 27,808 + 27,809 + 27,810 12,635 + 12,636 + … + 12,645 2,501 + 2,502 + … + 2,555 2,141 + 2,142 + … + 2,204
Aliquot sequence: 139,040 223,840 305,360 471,376 496,196 423,352 370,448 412,426 304,694 187,546 97,574 48,790 60,074 44,920 56,240 85,120 159,680 — unresolved within range

Continued fraction of √n

√139,040 = [372; (1, 7, 2, 1, 1, 1, 2, 7, 1, 744)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-nine thousand forty
Ordinal
139040th
Binary
100001111100100000
Octal
417440
Hexadecimal
0x21F20
Base64
Ah8g
One's complement
4,294,828,255 (32-bit)
Scientific notation
1.3904 × 10⁵
As a duration
139,040 s = 1 day, 14 hours, 37 minutes, 20 seconds
In other bases
ternary (3) 21001201122
quaternary (4) 201330200
quinary (5) 13422130
senary (6) 2551412
septenary (7) 1116236
nonary (9) 231648
undecimal (11) 95510
duodecimal (12) 68568
tridecimal (13) 4b395
tetradecimal (14) 38956
pentadecimal (15) 2b2e5

As an angle

139,040° = 386 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλθμʹ
Mayan (base 20)
𝋱·𝋧·𝋬·𝋠
Chinese
一十三萬九千零四十
Chinese (financial)
壹拾參萬玖仟零肆拾
In other modern scripts
Eastern Arabic ١٣٩٠٤٠ Devanagari १३९०४० Bengali ১৩৯০৪০ Tamil ௧௩௯௦௪௦ Thai ๑๓๙๐๔๐ Tibetan ༡༣༩༠༤༠ Khmer ១៣៩០៤០ Lao ໑໓໙໐໔໐ Burmese ၁၃၉၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 139040, here are decompositions:

  • 7 + 139033 = 139040
  • 19 + 139021 = 139040
  • 73 + 138967 = 139040
  • 103 + 138937 = 139040
  • 151 + 138889 = 139040
  • 157 + 138883 = 139040
  • 199 + 138841 = 139040
  • 211 + 138829 = 139040

Showing the first eight; more decompositions exist.

Unicode codepoint
𡼠
CJK Unified Ideograph-21F20
U+21F20
Other letter (Lo)

UTF-8 encoding: F0 A1 BC A0 (4 bytes).

Hex color
#021F20
RGB(2, 31, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.32.

Address
0.2.31.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.32

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 139,040 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 139040 first appears in π at position 311,897 of the decimal expansion (the 311,897ordinal-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.