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120,684

120,684 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.).

120,684 (one hundred twenty thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 89 × 113. Its proper divisors sum to 166,596, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D76C.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
486,021
Square (n²)
14,564,627,856
Cube (n³)
1,757,717,548,173,504
Divisor count
24
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
39,424
Sum of prime factors
209

Primality

Prime factorization: 2 2 × 3 × 89 × 113

Nearest primes: 120,677 (−7) · 120,689 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 89 · 113 · 178 · 226 · 267 · 339 · 356 · 452 · 534 · 678 · 1068 · 1356 · 10057 · 20114 · 30171 · 40228 · 60342 (half) · 120684
Aliquot sum (sum of proper divisors): 166,596
Factor pairs (a × b = 120,684)
1 × 120684
2 × 60342
3 × 40228
4 × 30171
6 × 20114
12 × 10057
89 × 1356
113 × 1068
178 × 678
226 × 534
267 × 452
339 × 356
First multiples
120,684 · 241,368 (double) · 362,052 · 482,736 · 603,420 · 724,104 · 844,788 · 965,472 · 1,086,156 · 1,206,840

Sums & aliquot sequence

As consecutive integers: 40,227 + 40,228 + 40,229 15,082 + 15,083 + … + 15,089 5,017 + 5,018 + … + 5,040 1,312 + 1,313 + … + 1,400
Aliquot sequence: 120,684 166,596 222,156 448,164 709,356 945,836 719,884 654,524 613,204 473,420 520,804 390,610 402,542 287,554 151,034 101,134 64,394 — unresolved within range

Continued fraction of √n

√120,684 = [347; (2, 1, 1, 9, 2, 7, 1, 2, 3, 7, 1, 7, 63, 27, 1, 3, 2, 5, 1, 13, 2, 1, 86, 5, …)]

Representations

In words
one hundred twenty thousand six hundred eighty-four
Ordinal
120684th
Binary
11101011101101100
Octal
353554
Hexadecimal
0x1D76C
Base64
Adds
One's complement
4,294,846,611 (32-bit)
Scientific notation
1.20684 × 10⁵
As a duration
120,684 s = 1 day, 9 hours, 31 minutes, 24 seconds
In other bases
ternary (3) 20010112210
quaternary (4) 131131230
quinary (5) 12330214
senary (6) 2330420
septenary (7) 1011564
nonary (9) 203483
undecimal (11) 82743
duodecimal (12) 59a10
tridecimal (13) 42c15
tetradecimal (14) 31da4
pentadecimal (15) 25b59

As an angle

120,684° = 335 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκχπδʹ
Mayan (base 20)
𝋯·𝋡·𝋮·𝋤
Chinese
一十二萬零六百八十四
Chinese (financial)
壹拾貳萬零陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٢٠٦٨٤ Devanagari १२०६८४ Bengali ১২০৬৮৪ Tamil ௧௨௦௬௮௪ Thai ๑๒๐๖๘๔ Tibetan ༡༢༠༦༨༤ Khmer ១២០៦៨៤ Lao ໑໒໐໖໘໔ Burmese ၁၂၀၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120684, here are decompositions:

  • 7 + 120677 = 120684
  • 13 + 120671 = 120684
  • 23 + 120661 = 120684
  • 37 + 120647 = 120684
  • 43 + 120641 = 120684
  • 61 + 120623 = 120684
  • 97 + 120587 = 120684
  • 107 + 120577 = 120684

Showing the first eight; more decompositions exist.

Unicode codepoint
𝝬
Mathematical Sans-Serif Bold Capital Chi
U+1D76C
Uppercase letter (Lu)

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

Hex color
#01D76C
RGB(1, 215, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.108.

Address
0.1.215.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.108

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 120,684 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 120684 first appears in π at position 386,416 of the decimal expansion (the 386,416ordinal-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°.