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120,918

120,918 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.).

120,918 (one hundred twenty thousand nine hundred eighteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 7 × 2,879. Its proper divisors sum to 155,562, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D856.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
819,021
Square (n²)
14,621,162,724
Cube (n³)
1,767,961,754,260,632
Divisor count
16
σ(n) — sum of divisors
276,480
φ(n) — Euler's totient
34,536
Sum of prime factors
2,891

Primality

Prime factorization: 2 × 3 × 7 × 2879

Nearest primes: 120,917 (−1) · 120,919 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 2879 · 5758 · 8637 · 17274 · 20153 · 40306 · 60459 (half) · 120918
Aliquot sum (sum of proper divisors): 155,562
Factor pairs (a × b = 120,918)
1 × 120918
2 × 60459
3 × 40306
6 × 20153
7 × 17274
14 × 8637
21 × 5758
42 × 2879
First multiples
120,918 · 241,836 (double) · 362,754 · 483,672 · 604,590 · 725,508 · 846,426 · 967,344 · 1,088,262 · 1,209,180

Sums & aliquot sequence

As consecutive integers: 40,305 + 40,306 + 40,307 30,228 + 30,229 + 30,230 + 30,231 17,271 + 17,272 + … + 17,277 10,071 + 10,072 + … + 10,082
Aliquot sequence: 120,918 155,562 183,990 257,658 257,670 509,850 998,982 1,397,178 1,630,080 4,018,680 9,600,120 22,677,840 55,442,160 130,753,512 228,236,028 304,314,732 493,418,204 — unresolved within range

Continued fraction of √n

√120,918 = [347; (1, 2, 1, 2, 1, 5, 1, 4, 1, 4, 14, 1, 1, 2, 3, 1, 1, 1, 1, 1, 6, 3, 1, 3, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand nine hundred eighteen
Ordinal
120918th
Binary
11101100001010110
Octal
354126
Hexadecimal
0x1D856
Base64
AdhW
One's complement
4,294,846,377 (32-bit)
Scientific notation
1.20918 × 10⁵
As a duration
120,918 s = 1 day, 9 hours, 35 minutes, 18 seconds
In other bases
ternary (3) 20010212110
quaternary (4) 131201112
quinary (5) 12332133
senary (6) 2331450
septenary (7) 1012350
nonary (9) 203773
undecimal (11) 82936
duodecimal (12) 59b86
tridecimal (13) 43065
tetradecimal (14) 320d0
pentadecimal (15) 25c63

As an angle

120,918° = 335 × 360° + 318°
318° ≈ 5.55 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϡιηʹ
Mayan (base 20)
𝋯·𝋢·𝋥·𝋲
Chinese
一十二萬零九百一十八
Chinese (financial)
壹拾貳萬零玖佰壹拾捌
In other modern scripts
Eastern Arabic ١٢٠٩١٨ Devanagari १२०९१८ Bengali ১২০৯১৮ Tamil ௧௨௦௯௧௮ Thai ๑๒๐๙๑๘ Tibetan ༡༢༠༩༡༨ Khmer ១២០៩១៨ Lao ໑໒໐໙໑໘ Burmese ၁၂၀၉၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120918, here are decompositions:

  • 11 + 120907 = 120918
  • 19 + 120899 = 120918
  • 29 + 120889 = 120918
  • 41 + 120877 = 120918
  • 47 + 120871 = 120918
  • 67 + 120851 = 120918
  • 71 + 120847 = 120918
  • 89 + 120829 = 120918

Showing the first eight; more decompositions exist.

Unicode codepoint
𝡖
Signwriting Hand-Oval Five Fingers Spread
U+1D856
Other symbol (So)

UTF-8 encoding: F0 9D A1 96 (4 bytes).

Hex color
#01D856
RGB(1, 216, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.86.

Address
0.1.216.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.86

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 120,918 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 120918 first appears in π at position 4,728 of the decimal expansion (the 4,728ordinal-suffix:th 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

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