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120,708

120,708 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.).

120,708 (one hundred twenty thousand seven hundred eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 479. Its proper divisors sum to 228,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D784.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
807,021
Square (n²)
14,570,421,264
Cube (n³)
1,758,766,409,934,912
Divisor count
36
σ(n) — sum of divisors
349,440
φ(n) — Euler's totient
34,416
Sum of prime factors
496

Primality

Prime factorization: 2 2 × 3 2 × 7 × 479

Nearest primes: 120,691 (−17) · 120,709 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 252 · 479 · 958 · 1437 · 1916 · 2874 · 3353 · 4311 · 5748 · 6706 · 8622 · 10059 · 13412 · 17244 · 20118 · 30177 · 40236 · 60354 (half) · 120708
Aliquot sum (sum of proper divisors): 228,732
Factor pairs (a × b = 120,708)
1 × 120708
2 × 60354
3 × 40236
4 × 30177
6 × 20118
7 × 17244
9 × 13412
12 × 10059
14 × 8622
18 × 6706
21 × 5748
28 × 4311
36 × 3353
42 × 2874
63 × 1916
84 × 1437
126 × 958
252 × 479
First multiples
120,708 · 241,416 (double) · 362,124 · 482,832 · 603,540 · 724,248 · 844,956 · 965,664 · 1,086,372 · 1,207,080

Sums & aliquot sequence

As consecutive integers: 40,235 + 40,236 + 40,237 17,241 + 17,242 + … + 17,247 15,085 + 15,086 + … + 15,092 13,408 + 13,409 + … + 13,416
Aliquot sequence: 120,708 228,732 393,708 690,452 690,508 828,884 858,886 661,754 330,880 550,400 844,972 658,404 1,005,986 522,334 261,170 342,118 255,014 — unresolved within range

Continued fraction of √n

√120,708 = [347; (2, 3, 9, 1, 13, 1, 7, 2, 3, 1, 1, 2, 5, 2, 4, 2, 2, 24, 2, 2, 4, 2, 5, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred eight
Ordinal
120708th
Binary
11101011110000100
Octal
353604
Hexadecimal
0x1D784
Base64
AdeE
One's complement
4,294,846,587 (32-bit)
Scientific notation
1.20708 × 10⁵
As a duration
120,708 s = 1 day, 9 hours, 31 minutes, 48 seconds
In other bases
ternary (3) 20010120200
quaternary (4) 131132010
quinary (5) 12330313
senary (6) 2330500
septenary (7) 1011630
nonary (9) 203520
undecimal (11) 82765
duodecimal (12) 59a30
tridecimal (13) 42c33
tetradecimal (14) 31dc0
pentadecimal (15) 25b73

As an angle

120,708° = 335 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψηʹ
Mayan (base 20)
𝋯·𝋡·𝋯·𝋨
Chinese
一十二萬零七百零八
Chinese (financial)
壹拾貳萬零柒佰零捌
In other modern scripts
Eastern Arabic ١٢٠٧٠٨ Devanagari १२०७०८ Bengali ১২০৭০৮ Tamil ௧௨௦௭௦௮ Thai ๑๒๐๗๐๘ Tibetan ༡༢༠༧༠༨ Khmer ១២០៧០៨ Lao ໑໒໐໗໐໘ Burmese ၁၂၀၇၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120708, here are decompositions:

  • 17 + 120691 = 120708
  • 19 + 120689 = 120708
  • 31 + 120677 = 120708
  • 37 + 120671 = 120708
  • 47 + 120661 = 120708
  • 61 + 120647 = 120708
  • 67 + 120641 = 120708
  • 89 + 120619 = 120708

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞄
Mathematical Sans-Serif Bold Small Upsilon
U+1D784
Lowercase letter (Ll)

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

Hex color
#01D784
RGB(1, 215, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.132.

Address
0.1.215.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.132

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 120,708 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

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