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120,704

120,704 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.).

120,704 (one hundred twenty thousand seven hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 23 × 41. Its proper divisors sum to 136,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D780.

Abundant Number Evil Number Happy Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
407,021
Square (n²)
14,569,455,616
Cube (n³)
1,758,591,570,673,664
Divisor count
32
σ(n) — sum of divisors
257,040
φ(n) — Euler's totient
56,320
Sum of prime factors
78

Primality

Prime factorization: 2 7 × 23 × 41

Nearest primes: 120,691 (−13) · 120,709 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 16 · 23 · 32 · 41 · 46 · 64 · 82 · 92 · 128 · 164 · 184 · 328 · 368 · 656 · 736 · 943 · 1312 · 1472 · 1886 · 2624 · 2944 · 3772 · 5248 · 7544 · 15088 · 30176 · 60352 (half) · 120704
Aliquot sum (sum of proper divisors): 136,336
Factor pairs (a × b = 120,704)
1 × 120704
2 × 60352
4 × 30176
8 × 15088
16 × 7544
23 × 5248
32 × 3772
41 × 2944
46 × 2624
64 × 1886
82 × 1472
92 × 1312
128 × 943
164 × 736
184 × 656
328 × 368
First multiples
120,704 · 241,408 (double) · 362,112 · 482,816 · 603,520 · 724,224 · 844,928 · 965,632 · 1,086,336 · 1,207,040

Sums & aliquot sequence

As consecutive integers: 5,237 + 5,238 + … + 5,259 2,924 + 2,925 + … + 2,964 344 + 345 + … + 599
Aliquot sequence: 120,704 136,336 127,846 66,194 37,486 18,746 16,198 14,042 11,878 5,942 2,974 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√120,704 = [347; (2, 2, 1, 4, 1, 2, 2, 694)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred four
Ordinal
120704th
Binary
11101011110000000
Octal
353600
Hexadecimal
0x1D780
Base64
AdeA
One's complement
4,294,846,591 (32-bit)
Scientific notation
1.20704 × 10⁵
As a duration
120,704 s = 1 day, 9 hours, 31 minutes, 44 seconds
In other bases
ternary (3) 20010120112
quaternary (4) 131132000
quinary (5) 12330304
senary (6) 2330452
septenary (7) 1011623
nonary (9) 203515
undecimal (11) 82761
duodecimal (12) 59a28
tridecimal (13) 42c2c
tetradecimal (14) 31dba
pentadecimal (15) 25b6e

As an angle

120,704° = 335 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψδʹ
Mayan (base 20)
𝋯·𝋡·𝋯·𝋤
Chinese
一十二萬零七百零四
Chinese (financial)
壹拾貳萬零柒佰零肆
In other modern scripts
Eastern Arabic ١٢٠٧٠٤ Devanagari १२०७०४ Bengali ১২০৭০৪ Tamil ௧௨௦௭௦௪ Thai ๑๒๐๗๐๔ Tibetan ༡༢༠༧༠༤ Khmer ១២០៧០៤ Lao ໑໒໐໗໐໔ Burmese ၁၂၀၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120704, here are decompositions:

  • 13 + 120691 = 120704
  • 43 + 120661 = 120704
  • 97 + 120607 = 120704
  • 127 + 120577 = 120704
  • 193 + 120511 = 120704
  • 277 + 120427 = 120704
  • 307 + 120397 = 120704
  • 313 + 120391 = 120704

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞀
Mathematical Sans-Serif Bold Small Rho
U+1D780
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9E 80 (4 bytes).

Hex color
#01D780
RGB(1, 215, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.128.

Address
0.1.215.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.128

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 120,704 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 120704 first appears in π at position 198,693 of the decimal expansion (the 198,693ordinal-suffix:rd 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.