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120,590

120,590 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.).

120,590 (one hundred twenty thousand five hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 31 × 389. Written other ways, in hexadecimal, 0x1D70E.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
95,021
Square (n²)
14,541,948,100
Cube (n³)
1,753,613,521,379,000
Divisor count
16
σ(n) — sum of divisors
224,640
φ(n) — Euler's totient
46,560
Sum of prime factors
427

Primality

Prime factorization: 2 × 5 × 31 × 389

Nearest primes: 120,587 (−3) · 120,607 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 31 · 62 · 155 · 310 · 389 · 778 · 1945 · 3890 · 12059 · 24118 · 60295 (half) · 120590
Aliquot sum (sum of proper divisors): 104,050
Factor pairs (a × b = 120,590)
1 × 120590
2 × 60295
5 × 24118
10 × 12059
31 × 3890
62 × 1945
155 × 778
310 × 389
First multiples
120,590 · 241,180 (double) · 361,770 · 482,360 · 602,950 · 723,540 · 844,130 · 964,720 · 1,085,310 · 1,205,900

Sums & aliquot sequence

As consecutive integers: 30,146 + 30,147 + 30,148 + 30,149 24,116 + 24,117 + 24,118 + 24,119 + 24,120 6,020 + 6,021 + … + 6,039 3,875 + 3,876 + … + 3,905
Aliquot sequence: 120,590 104,050 89,576 78,394 45,446 25,018 17,894 10,186 6,518 3,262 2,354 1,534 986 634 320 442 314 — unresolved within range

Continued fraction of √n

√120,590 = [347; (3, 1, 5, 11, 1, 1, 2, 16, 1, 1, 5, 3, 9, 14, 15, 36, 2, 19, 2, 1, 5, 1, 7, 3, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred ninety
Ordinal
120590th
Binary
11101011100001110
Octal
353416
Hexadecimal
0x1D70E
Base64
AdcO
One's complement
4,294,846,705 (32-bit)
Scientific notation
1.2059 × 10⁵
As a duration
120,590 s = 1 day, 9 hours, 29 minutes, 50 seconds
In other bases
ternary (3) 20010102022
quaternary (4) 131130032
quinary (5) 12324330
senary (6) 2330142
septenary (7) 1011401
nonary (9) 203368
undecimal (11) 82668
duodecimal (12) 59952
tridecimal (13) 42b72
tetradecimal (14) 31d38
pentadecimal (15) 25ae5

As an angle

120,590° = 334 × 360° + 350°
350° ≈ 6.109 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκφϟʹ
Mayan (base 20)
𝋯·𝋡·𝋩·𝋪
Chinese
一十二萬零五百九十
Chinese (financial)
壹拾貳萬零伍佰玖拾
In other modern scripts
Eastern Arabic ١٢٠٥٩٠ Devanagari १२०५९० Bengali ১২০৫৯০ Tamil ௧௨௦௫௯௦ Thai ๑๒๐๕๙๐ Tibetan ༡༢༠༥༩༠ Khmer ១២០៥៩០ Lao ໑໒໐໕໙໐ Burmese ၁၂၀၅၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120590, here are decompositions:

  • 3 + 120587 = 120590
  • 13 + 120577 = 120590
  • 79 + 120511 = 120590
  • 163 + 120427 = 120590
  • 193 + 120397 = 120590
  • 199 + 120391 = 120590
  • 241 + 120349 = 120590
  • 271 + 120319 = 120590

Showing the first eight; more decompositions exist.

Unicode codepoint
𝜎
Mathematical Italic Small Sigma
U+1D70E
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9C 8E (4 bytes).

Hex color
#01D70E
RGB(1, 215, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.14.

Address
0.1.215.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.14

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 120,590 and was likely granted around 1871.

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

Position in π

The digit sequence 120590 first appears in π at position 428,090 of the decimal expansion (the 428,090ordinal-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.