number.wiki
Live analysis

120,988

120,988 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.).

120,988 (one hundred twenty thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 29 × 149. Its proper divisors sum to 131,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D89C.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
889,021
Square (n²)
14,638,096,144
Cube (n³)
1,771,033,976,270,272
Divisor count
24
σ(n) — sum of divisors
252,000
φ(n) — Euler's totient
49,728
Sum of prime factors
189

Primality

Prime factorization: 2 2 × 7 × 29 × 149

Nearest primes: 120,977 (−11) · 120,997 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 28 · 29 · 58 · 116 · 149 · 203 · 298 · 406 · 596 · 812 · 1043 · 2086 · 4172 · 4321 · 8642 · 17284 · 30247 · 60494 (half) · 120988
Aliquot sum (sum of proper divisors): 131,012
Factor pairs (a × b = 120,988)
1 × 120988
2 × 60494
4 × 30247
7 × 17284
14 × 8642
28 × 4321
29 × 4172
58 × 2086
116 × 1043
149 × 812
203 × 596
298 × 406
First multiples
120,988 · 241,976 (double) · 362,964 · 483,952 · 604,940 · 725,928 · 846,916 · 967,904 · 1,088,892 · 1,209,880

Sums & aliquot sequence

As consecutive integers: 17,281 + 17,282 + … + 17,287 15,120 + 15,121 + … + 15,127 4,158 + 4,159 + … + 4,186 2,133 + 2,134 + … + 2,188
Aliquot sequence: 120,988 131,012 131,068 141,316 149,884 158,564 164,626 143,534 76,906 38,456 47,944 49,076 36,814 19,346 11,434 5,720 9,400 — unresolved within range

Continued fraction of √n

√120,988 = [347; (1, 4, 1, 694)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand nine hundred eighty-eight
Ordinal
120988th
Binary
11101100010011100
Octal
354234
Hexadecimal
0x1D89C
Base64
Adic
One's complement
4,294,846,307 (32-bit)
Scientific notation
1.20988 × 10⁵
As a duration
120,988 s = 1 day, 9 hours, 36 minutes, 28 seconds
In other bases
ternary (3) 20010222001
quaternary (4) 131202130
quinary (5) 12332423
senary (6) 2332044
septenary (7) 1012510
nonary (9) 203861
undecimal (11) 8299a
duodecimal (12) 5a024
tridecimal (13) 430ba
tetradecimal (14) 32140
pentadecimal (15) 25cad

As an angle

120,988° = 336 × 360° + 28°
28° ≈ 0.489 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϡπηʹ
Mayan (base 20)
𝋯·𝋢·𝋩·𝋨
Chinese
一十二萬零九百八十八
Chinese (financial)
壹拾貳萬零玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٠٩٨٨ Devanagari १२०९८८ Bengali ১২০৯৮৮ Tamil ௧௨௦௯௮௮ Thai ๑๒๐๙๘๘ Tibetan ༡༢༠༩༨༨ Khmer ១២០៩៨៨ Lao ໑໒໐໙໘໘ Burmese ၁၂၀၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120988, here are decompositions:

  • 11 + 120977 = 120988
  • 41 + 120947 = 120988
  • 47 + 120941 = 120988
  • 59 + 120929 = 120988
  • 71 + 120917 = 120988
  • 89 + 120899 = 120988
  • 137 + 120851 = 120988
  • 239 + 120749 = 120988

Showing the first eight; more decompositions exist.

Unicode codepoint
𝢜
Signwriting Hand-Fist Little Index Thumb
U+1D89C
Other symbol (So)

UTF-8 encoding: F0 9D A2 9C (4 bytes).

Hex color
#01D89C
RGB(1, 216, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.156.

Address
0.1.216.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.156

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 120,988 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