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120,772

120,772 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.).

120,772 (one hundred twenty thousand seven hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 109 × 277. Written other ways, in hexadecimal, 0x1D7C4.

Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
277,021
Square (n²)
14,585,875,984
Cube (n³)
1,761,565,414,339,648
Divisor count
12
σ(n) — sum of divisors
214,060
φ(n) — Euler's totient
59,616
Sum of prime factors
390

Primality

Prime factorization: 2 2 × 109 × 277

Nearest primes: 120,767 (−5) · 120,779 (+7)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 109 · 218 · 277 · 436 · 554 · 1108 · 30193 · 60386 (half) · 120772
Aliquot sum (sum of proper divisors): 93,288
Factor pairs (a × b = 120,772)
1 × 120772
2 × 60386
4 × 30193
109 × 1108
218 × 554
277 × 436
First multiples
120,772 · 241,544 (double) · 362,316 · 483,088 · 603,860 · 724,632 · 845,404 · 966,176 · 1,086,948 · 1,207,720

Sums & aliquot sequence

As a sum of two squares: 96² + 334² = 226² + 264²
As consecutive integers: 15,093 + 15,094 + … + 15,100 1,054 + 1,055 + … + 1,162 298 + 299 + … + 574
Aliquot sequence: 120,772 93,288 170,232 268,248 402,432 678,384 1,494,592 1,782,262 896,930 728,470 598,058 299,032 261,668 265,852 199,396 154,524 212,836 — unresolved within range

Continued fraction of √n

√120,772 = [347; (1, 1, 10, 1, 1, 7, 3, 2, 18, 1, 7, 24, 1, 2, 3, 3, 3, 8, 3, 1, 1, 2, 10, 1, …)]

Representations

In words
one hundred twenty thousand seven hundred seventy-two
Ordinal
120772nd
Binary
11101011111000100
Octal
353704
Hexadecimal
0x1D7C4
Base64
AdfE
One's complement
4,294,846,523 (32-bit)
Scientific notation
1.20772 × 10⁵
As a duration
120,772 s = 1 day, 9 hours, 32 minutes, 52 seconds
In other bases
ternary (3) 20010200001
quaternary (4) 131133010
quinary (5) 12331042
senary (6) 2331044
septenary (7) 1012051
nonary (9) 203601
undecimal (11) 82813
duodecimal (12) 59a84
tridecimal (13) 42c82
tetradecimal (14) 32028
pentadecimal (15) 25bb7

As an angle

120,772° = 335 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκψοβʹ
Mayan (base 20)
𝋯·𝋡·𝋲·𝋬
Chinese
一十二萬零七百七十二
Chinese (financial)
壹拾貳萬零柒佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٠٧٧٢ Devanagari १२०७७२ Bengali ১২০৭৭২ Tamil ௧௨௦௭௭௨ Thai ๑๒๐๗๗๒ Tibetan ༡༢༠༧༧༢ Khmer ១២០៧៧២ Lao ໑໒໐໗໗໒ Burmese ၁၂၀၇၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120772, here are decompositions:

  • 5 + 120767 = 120772
  • 23 + 120749 = 120772
  • 59 + 120713 = 120772
  • 83 + 120689 = 120772
  • 101 + 120671 = 120772
  • 131 + 120641 = 120772
  • 149 + 120623 = 120772
  • 233 + 120539 = 120772

Showing the first eight; more decompositions exist.

Unicode codepoint
𝟄
Mathematical Sans-Serif Bold Italic Epsilon Symbol
U+1D7C4
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9F 84 (4 bytes).

Hex color
#01D7C4
RGB(1, 215, 196)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.196.

Address
0.1.215.196
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.196

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 120,772 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