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120,904

120,904 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.).

120,904 (one hundred twenty thousand nine hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 17 × 127. Its proper divisors sum to 155,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D848.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
409,021
Square (n²)
14,617,777,216
Cube (n³)
1,767,347,736,523,264
Divisor count
32
σ(n) — sum of divisors
276,480
φ(n) — Euler's totient
48,384
Sum of prime factors
157

Primality

Prime factorization: 2 3 × 7 × 17 × 127

Nearest primes: 120,899 (−5) · 120,907 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 7 · 8 · 14 · 17 · 28 · 34 · 56 · 68 · 119 · 127 · 136 · 238 · 254 · 476 · 508 · 889 · 952 · 1016 · 1778 · 2159 · 3556 · 4318 · 7112 · 8636 · 15113 · 17272 · 30226 · 60452 (half) · 120904
Aliquot sum (sum of proper divisors): 155,576
Factor pairs (a × b = 120,904)
1 × 120904
2 × 60452
4 × 30226
7 × 17272
8 × 15113
14 × 8636
17 × 7112
28 × 4318
34 × 3556
56 × 2159
68 × 1778
119 × 1016
127 × 952
136 × 889
238 × 508
254 × 476
First multiples
120,904 · 241,808 (double) · 362,712 · 483,616 · 604,520 · 725,424 · 846,328 · 967,232 · 1,088,136 · 1,209,040

Sums & aliquot sequence

As consecutive integers: 17,269 + 17,270 + … + 17,275 7,549 + 7,550 + … + 7,564 7,104 + 7,105 + … + 7,120 1,024 + 1,025 + … + 1,135
Aliquot sequence: 120,904 155,576 136,144 133,680 281,472 467,208 1,042,872 1,702,728 3,027,672 5,525,928 9,824,472 21,044,808 37,349,892 57,062,426 29,808,934 14,904,470 15,983,530 — unresolved within range

Continued fraction of √n

√120,904 = [347; (1, 2, 2, 11, 6, 5, 1, 1, 1, 2, 2, 3, 1, 8, 1, 7, 1, 2, 4, 1, 11, 1, 4, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand nine hundred four
Ordinal
120904th
Binary
11101100001001000
Octal
354110
Hexadecimal
0x1D848
Base64
AdhI
One's complement
4,294,846,391 (32-bit)
Scientific notation
1.20904 × 10⁵
As a duration
120,904 s = 1 day, 9 hours, 35 minutes, 4 seconds
In other bases
ternary (3) 20010211221
quaternary (4) 131201020
quinary (5) 12332104
senary (6) 2331424
septenary (7) 1012330
nonary (9) 203757
undecimal (11) 82923
duodecimal (12) 59b74
tridecimal (13) 43054
tetradecimal (14) 320c0
pentadecimal (15) 25c54

As an angle

120,904° = 335 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϡδʹ
Mayan (base 20)
𝋯·𝋢·𝋥·𝋤
Chinese
一十二萬零九百零四
Chinese (financial)
壹拾貳萬零玖佰零肆
In other modern scripts
Eastern Arabic ١٢٠٩٠٤ Devanagari १२०९०४ Bengali ১২০৯০৪ Tamil ௧௨௦௯௦௪ Thai ๑๒๐๙๐๔ Tibetan ༡༢༠༩༠༤ Khmer ១២០៩០៤ Lao ໑໒໐໙໐໔ Burmese ၁၂၀၉၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120904, here are decompositions:

  • 5 + 120899 = 120904
  • 41 + 120863 = 120904
  • 53 + 120851 = 120904
  • 71 + 120833 = 120904
  • 137 + 120767 = 120904
  • 167 + 120737 = 120904
  • 191 + 120713 = 120904
  • 227 + 120677 = 120904

Showing the first eight; more decompositions exist.

Unicode codepoint
𝡈
Signwriting Hand-Flat Four Fingers Conjoined Split
U+1D848
Other symbol (So)

UTF-8 encoding: F0 9D A1 88 (4 bytes).

Hex color
#01D848
RGB(1, 216, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.72.

Address
0.1.216.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.72

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 120,904 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