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120,354

120,354 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.).

120,354 (one hundred twenty thousand three hundred fifty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 1,543. Its proper divisors sum to 139,038, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D622.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
453,021
Square (n²)
14,485,085,316
Cube (n³)
1,743,337,958,121,864
Divisor count
16
σ(n) — sum of divisors
259,392
φ(n) — Euler's totient
37,008
Sum of prime factors
1,561

Primality

Prime factorization: 2 × 3 × 13 × 1543

Nearest primes: 120,349 (−5) · 120,371 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 1543 · 3086 · 4629 · 9258 · 20059 · 40118 · 60177 (half) · 120354
Aliquot sum (sum of proper divisors): 139,038
Factor pairs (a × b = 120,354)
1 × 120354
2 × 60177
3 × 40118
6 × 20059
13 × 9258
26 × 4629
39 × 3086
78 × 1543
First multiples
120,354 · 240,708 (double) · 361,062 · 481,416 · 601,770 · 722,124 · 842,478 · 962,832 · 1,083,186 · 1,203,540

Sums & aliquot sequence

As consecutive integers: 40,117 + 40,118 + 40,119 30,087 + 30,088 + 30,089 + 30,090 10,024 + 10,025 + … + 10,035 9,252 + 9,253 + … + 9,264
Aliquot sequence: 120,354 139,038 139,050 247,830 401,898 533,814 533,826 649,278 958,770 1,685,070 2,866,050 5,794,110 12,469,122 14,547,348 22,344,780 40,220,772 55,220,028 — unresolved within range

Continued fraction of √n

√120,354 = [346; (1, 11, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 29, 2, 3, 7, 10, 1, 1, 6, 4, 1, 2, 3, …)]

Representations

In words
one hundred twenty thousand three hundred fifty-four
Ordinal
120354th
Binary
11101011000100010
Octal
353042
Hexadecimal
0x1D622
Base64
AdYi
One's complement
4,294,846,941 (32-bit)
Scientific notation
1.20354 × 10⁵
As a duration
120,354 s = 1 day, 9 hours, 25 minutes, 54 seconds
In other bases
ternary (3) 20010002120
quaternary (4) 131120202
quinary (5) 12322404
senary (6) 2325110
septenary (7) 1010613
nonary (9) 203076
undecimal (11) 82473
duodecimal (12) 59796
tridecimal (13) 42a20
tetradecimal (14) 31c0a
pentadecimal (15) 259d9

As an angle

120,354° = 334 × 360° + 114°
114° ≈ 1.99 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκτνδʹ
Mayan (base 20)
𝋯·𝋠·𝋱·𝋮
Chinese
一十二萬零三百五十四
Chinese (financial)
壹拾貳萬零參佰伍拾肆
In other modern scripts
Eastern Arabic ١٢٠٣٥٤ Devanagari १२०३५४ Bengali ১২০৩৫৪ Tamil ௧௨௦௩௫௪ Thai ๑๒๐๓๕๔ Tibetan ༡༢༠༣༥༤ Khmer ១២០៣៥៤ Lao ໑໒໐໓໕໔ Burmese ၁၂၀၃၅၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120354, here are decompositions:

  • 5 + 120349 = 120354
  • 23 + 120331 = 120354
  • 61 + 120293 = 120354
  • 71 + 120283 = 120354
  • 107 + 120247 = 120354
  • 131 + 120223 = 120354
  • 173 + 120181 = 120354
  • 191 + 120163 = 120354

Showing the first eight; more decompositions exist.

Unicode codepoint
𝘢
Mathematical Sans-Serif Italic Small A
U+1D622
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 98 A2 (4 bytes).

Hex color
#01D622
RGB(1, 214, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.34.

Address
0.1.214.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.34

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 120,354 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 120354 first appears in π at position 221,159 of the decimal expansion (the 221,159ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.