number.wiki
Live analysis

134,720

134,720 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.).

134,720 (one hundred thirty-four thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 421. Its proper divisors sum to 186,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20E40.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Practical Number 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
27,431
Square (n²)
18,149,478,400
Cube (n³)
2,445,097,730,048,000
Divisor count
28
σ(n) — sum of divisors
321,564
φ(n) — Euler's totient
53,760
Sum of prime factors
438

Primality

Prime factorization: 2 6 × 5 × 421

Nearest primes: 134,707 (−13) · 134,731 (+11)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 421 · 842 · 1684 · 2105 · 3368 · 4210 · 6736 · 8420 · 13472 · 16840 · 26944 · 33680 · 67360 (half) · 134720
Aliquot sum (sum of proper divisors): 186,844
Factor pairs (a × b = 134,720)
1 × 134720
2 × 67360
4 × 33680
5 × 26944
8 × 16840
10 × 13472
16 × 8420
20 × 6736
32 × 4210
40 × 3368
64 × 2105
80 × 1684
160 × 842
320 × 421
First multiples
134,720 · 269,440 (double) · 404,160 · 538,880 · 673,600 · 808,320 · 943,040 · 1,077,760 · 1,212,480 · 1,347,200

Sums & aliquot sequence

As a sum of two squares: 104² + 352² = 128² + 344²
As consecutive integers: 26,942 + 26,943 + 26,944 + 26,945 + 26,946 989 + 990 + … + 1,116 110 + 111 + … + 530
Aliquot sequence: 134,720 186,844 186,900 438,060 998,340 2,197,692 5,140,548 9,710,652 16,184,644 17,401,916 17,490,340 24,732,764 24,847,396 26,762,204 26,762,260 40,854,380 57,196,468 — unresolved within range

Continued fraction of √n

√134,720 = [367; (23, 1, 2, 8, 1, 5, 5, 1, 3, 183, 3, 1, 5, 5, 1, 8, 2, 1, 23, 734)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand seven hundred twenty
Ordinal
134720th
Binary
100000111001000000
Octal
407100
Hexadecimal
0x20E40
Base64
Ag5A
One's complement
4,294,832,575 (32-bit)
Scientific notation
1.3472 × 10⁵
As a duration
134,720 s = 1 day, 13 hours, 25 minutes, 20 seconds
In other bases
ternary (3) 20211210122
quaternary (4) 200321000
quinary (5) 13302340
senary (6) 2515412
septenary (7) 1100525
nonary (9) 224718
undecimal (11) 92243
duodecimal (12) 65b68
tridecimal (13) 49421
tetradecimal (14) 3714c
pentadecimal (15) 29db5

As an angle

134,720° = 374 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλδψκʹ
Mayan (base 20)
𝋰·𝋰·𝋰·𝋠
Chinese
一十三萬四千七百二十
Chinese (financial)
壹拾參萬肆仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٣٤٧٢٠ Devanagari १३४७२० Bengali ১৩৪৭২০ Tamil ௧௩௪௭௨௦ Thai ๑๓๔๗๒๐ Tibetan ༡༣༤༧༢༠ Khmer ១៣៤៧២០ Lao ໑໓໔໗໒໐ Burmese ၁၃၄၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134720, here are decompositions:

  • 13 + 134707 = 134720
  • 37 + 134683 = 134720
  • 43 + 134677 = 134720
  • 127 + 134593 = 134720
  • 139 + 134581 = 134720
  • 277 + 134443 = 134720
  • 283 + 134437 = 134720
  • 349 + 134371 = 134720

Showing the first eight; more decompositions exist.

Unicode codepoint
𠹀
CJK Unified Ideograph-20E40
U+20E40
Other letter (Lo)

UTF-8 encoding: F0 A0 B9 80 (4 bytes).

Hex color
#020E40
RGB(2, 14, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.64.

Address
0.2.14.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.64

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 134,720 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 134720 first appears in π at position 506,995 of the decimal expansion (the 506,995ordinal-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.