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106,790

106,790 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.).

106,790 (one hundred six thousand seven hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 59 × 181. Written other ways, in hexadecimal, 0x1A126.

Arithmetic Number Cube-Free Deficient Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
97,601
Recamán's sequence
a(81,635) = 106,790
Square (n²)
11,404,104,100
Cube (n³)
1,217,844,276,839,000
Divisor count
16
σ(n) — sum of divisors
196,560
φ(n) — Euler's totient
41,760
Sum of prime factors
247

Primality

Prime factorization: 2 × 5 × 59 × 181

Nearest primes: 106,787 (−3) · 106,801 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 59 · 118 · 181 · 295 · 362 · 590 · 905 · 1810 · 10679 · 21358 · 53395 (half) · 106790
Aliquot sum (sum of proper divisors): 89,770
Factor pairs (a × b = 106,790)
1 × 106790
2 × 53395
5 × 21358
10 × 10679
59 × 1810
118 × 905
181 × 590
295 × 362
First multiples
106,790 · 213,580 (double) · 320,370 · 427,160 · 533,950 · 640,740 · 747,530 · 854,320 · 961,110 · 1,067,900

Sums & aliquot sequence

As consecutive integers: 26,696 + 26,697 + 26,698 + 26,699 21,356 + 21,357 + 21,358 + 21,359 + 21,360 5,330 + 5,331 + … + 5,349 1,781 + 1,782 + … + 1,839
Aliquot sequence: 106,790 → 89,770 → 76,118 → 54,394 → 27,200 → 43,666 → 31,214 → 15,610 → 16,646 → 13,594 → 9,734 → 5,434 → 4,646 → 2,698 → 1,622 → 814 → 554 — unresolved within range

Continued fraction of √n

√106,790 = [326; (1, 3, 1, 2, 2, 1, 2, 6, 1, 1, 2, 1, 1, 13, 1, 1, 1, 2, 18, 1, 5, 1, 1, 10, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand seven hundred ninety
Ordinal
106790th
Binary
11010000100100110
Octal
320446
Hexadecimal
0x1A126
Base64
AaEm
One's complement
4,294,860,505 (32-bit)
Scientific notation
1.0679 × 10⁵
As a duration
106,790 s = 1 day, 5 hours, 39 minutes, 50 seconds
In other bases
ternary (3) 12102111012
quaternary (4) 122010212
quinary (5) 11404130
senary (6) 2142222
septenary (7) 623225
nonary (9) 172435
undecimal (11) 73262
duodecimal (12) 51972
tridecimal (13) 397b8
tetradecimal (14) 2acbc
pentadecimal (15) 21995

As an angle

106,790° = 296 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρϛψϟʹ
Mayan (base 20)
𝋭·𝋦·𝋳·𝋪
Chinese
十萬六千七百九十
Chinese (financial)
壹拾萬陸仟柒佰玖拾
In other modern scripts
Eastern Arabic ١٠٦٧٩٠ Devanagari १०६७९० Bengali ১০৬৭৯০ Tamil ௧௦௬௭௯௦ Thai ๑๐๖๗๙๐ Tibetan ༡༠༦༧༩༠ Khmer ១០៦៧៩០ Lao ໑໐໖໗໙໐ Burmese ၁၀၆၇၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106790, here are decompositions:

  • 3 + 106787 = 106790
  • 7 + 106783 = 106790
  • 31 + 106759 = 106790
  • 37 + 106753 = 106790
  • 43 + 106747 = 106790
  • 97 + 106693 = 106790
  • 109 + 106681 = 106790
  • 127 + 106663 = 106790

Showing the first eight; more decompositions exist.

Hex color
#01A126
RGB(1, 161, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.161.38.

Address
0.1.161.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.161.38

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 106,790 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 106790 first appears in π at position 540,464 of the decimal expansion (the 540,464ordinal-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.