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120,764

120,764 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.).

120,764 (one hundred twenty thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 19 × 227. Its proper divisors sum to 134,596, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7BC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
467,021
Square (n²)
14,583,943,696
Cube (n³)
1,761,215,376,503,744
Divisor count
24
σ(n) — sum of divisors
255,360
φ(n) — Euler's totient
48,816
Sum of prime factors
257

Primality

Prime factorization: 2 2 × 7 × 19 × 227

Nearest primes: 120,763 (−1) · 120,767 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 19 · 28 · 38 · 76 · 133 · 227 · 266 · 454 · 532 · 908 · 1589 · 3178 · 4313 · 6356 · 8626 · 17252 · 30191 · 60382 (half) · 120764
Aliquot sum (sum of proper divisors): 134,596
Factor pairs (a × b = 120,764)
1 × 120764
2 × 60382
4 × 30191
7 × 17252
14 × 8626
19 × 6356
28 × 4313
38 × 3178
76 × 1589
133 × 908
227 × 532
266 × 454
First multiples
120,764 · 241,528 (double) · 362,292 · 483,056 · 603,820 · 724,584 · 845,348 · 966,112 · 1,086,876 · 1,207,640

Sums & aliquot sequence

As consecutive integers: 17,249 + 17,250 + … + 17,255 15,092 + 15,093 + … + 15,099 6,347 + 6,348 + … + 6,365 2,129 + 2,130 + … + 2,184
Aliquot sequence: 120,764 134,596 187,964 198,436 220,444 220,500 588,672 1,373,808 2,175,320 3,760,360 4,700,540 6,095,140 6,704,696 6,206,944 6,409,184 6,450,376 5,644,094 — unresolved within range

Continued fraction of √n

√120,764 = [347; (1, 1, 21, 1, 11, 2, 5, 7, 1, 172, 1, 7, 5, 2, 11, 1, 21, 1, 1, 694)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred sixty-four
Ordinal
120764th
Binary
11101011110111100
Octal
353674
Hexadecimal
0x1D7BC
Base64
Ade8
One's complement
4,294,846,531 (32-bit)
Scientific notation
1.20764 × 10⁵
As a duration
120,764 s = 1 day, 9 hours, 32 minutes, 44 seconds
In other bases
ternary (3) 20010122202
quaternary (4) 131132330
quinary (5) 12331024
senary (6) 2331032
septenary (7) 1012040
nonary (9) 203582
undecimal (11) 82806
duodecimal (12) 59a78
tridecimal (13) 42c77
tetradecimal (14) 32020
pentadecimal (15) 25bae

As an angle

120,764° = 335 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψξδʹ
Mayan (base 20)
𝋯·𝋡·𝋲·𝋤
Chinese
一十二萬零七百六十四
Chinese (financial)
壹拾貳萬零柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٠٧٦٤ Devanagari १२०७६४ Bengali ১২০৭৬৪ Tamil ௧௨௦௭௬௪ Thai ๑๒๐๗๖๔ Tibetan ༡༢༠༧༦༤ Khmer ១២០៧៦៤ Lao ໑໒໐໗໖໔ Burmese ၁၂၀၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120764, here are decompositions:

  • 43 + 120721 = 120764
  • 73 + 120691 = 120764
  • 103 + 120661 = 120764
  • 157 + 120607 = 120764
  • 337 + 120427 = 120764
  • 367 + 120397 = 120764
  • 373 + 120391 = 120764
  • 433 + 120331 = 120764

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞼
Mathematical Sans-Serif Bold Italic Small Sigma
U+1D7BC
Lowercase letter (Ll)

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

Hex color
#01D7BC
RGB(1, 215, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.188.

Address
0.1.215.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.188

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 120,764 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.