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120,648

120,648 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.).

120,648 (one hundred twenty thousand six hundred forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 457. Its proper divisors sum to 209,112, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D748.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
846,021
Square (n²)
14,555,939,904
Cube (n³)
1,756,145,037,537,792
Divisor count
32
σ(n) — sum of divisors
329,760
φ(n) — Euler's totient
36,480
Sum of prime factors
477

Primality

Prime factorization: 2 3 × 3 × 11 × 457

Nearest primes: 120,647 (−1) · 120,661 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 44 · 66 · 88 · 132 · 264 · 457 · 914 · 1371 · 1828 · 2742 · 3656 · 5027 · 5484 · 10054 · 10968 · 15081 · 20108 · 30162 · 40216 · 60324 (half) · 120648
Aliquot sum (sum of proper divisors): 209,112
Factor pairs (a × b = 120,648)
1 × 120648
2 × 60324
3 × 40216
4 × 30162
6 × 20108
8 × 15081
11 × 10968
12 × 10054
22 × 5484
24 × 5027
33 × 3656
44 × 2742
66 × 1828
88 × 1371
132 × 914
264 × 457
First multiples
120,648 · 241,296 (double) · 361,944 · 482,592 · 603,240 · 723,888 · 844,536 · 965,184 · 1,085,832 · 1,206,480

Sums & aliquot sequence

As consecutive integers: 40,215 + 40,216 + 40,217 10,963 + 10,964 + … + 10,973 7,533 + 7,534 + … + 7,548 3,640 + 3,641 + … + 3,672
Aliquot sequence: 120,648 209,112 313,728 583,872 961,464 1,860,936 4,359,864 6,728,136 10,092,264 20,967,576 39,443,304 60,187,416 91,619,544 142,305,576 273,758,424 416,443,776 847,768,704 — unresolved within range

Continued fraction of √n

√120,648 = [347; (2, 1, 9, 1, 1, 4, 1, 1, 2, 2, 86, 2, 2, 1, 1, 4, 1, 1, 9, 1, 2, 694)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand six hundred forty-eight
Ordinal
120648th
Binary
11101011101001000
Octal
353510
Hexadecimal
0x1D748
Base64
AddI
One's complement
4,294,846,647 (32-bit)
Scientific notation
1.20648 × 10⁵
As a duration
120,648 s = 1 day, 9 hours, 30 minutes, 48 seconds
In other bases
ternary (3) 20010111110
quaternary (4) 131131020
quinary (5) 12330043
senary (6) 2330320
septenary (7) 1011513
nonary (9) 203443
undecimal (11) 82710
duodecimal (12) 599a0
tridecimal (13) 42bb8
tetradecimal (14) 31d7a
pentadecimal (15) 25b33

As an angle

120,648° = 335 × 360° + 48°
48° ≈ 0.838 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκχμηʹ
Mayan (base 20)
𝋯·𝋡·𝋬·𝋨
Chinese
一十二萬零六百四十八
Chinese (financial)
壹拾貳萬零陸佰肆拾捌
In other modern scripts
Eastern Arabic ١٢٠٦٤٨ Devanagari १२०६४८ Bengali ১২০৬৪৮ Tamil ௧௨௦௬௪௮ Thai ๑๒๐๖๔๘ Tibetan ༡༢༠༦༤༨ Khmer ១២០៦៤៨ Lao ໑໒໐໖໔໘ Burmese ၁၂၀၆၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120648, here are decompositions:

  • 7 + 120641 = 120648
  • 29 + 120619 = 120648
  • 41 + 120607 = 120648
  • 61 + 120587 = 120648
  • 71 + 120577 = 120648
  • 79 + 120569 = 120648
  • 97 + 120551 = 120648
  • 109 + 120539 = 120648

Showing the first eight; more decompositions exist.

Unicode codepoint
𝝈
Mathematical Bold Italic Small Sigma
U+1D748
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9D 88 (4 bytes).

Hex color
#01D748
RGB(1, 215, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.72.

Address
0.1.215.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.72

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 120,648 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°.