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120,428

120,428 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.).

120,428 (one hundred twenty thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 7 × 11 × 17 × 23. Its proper divisors sum to 169,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D66C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
824,021
Square (n²)
14,502,903,184
Cube (n³)
1,746,555,624,642,752
Divisor count
48
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
42,240
Sum of prime factors
62

Primality

Prime factorization: 2 2 × 7 × 11 × 17 × 23

Nearest primes: 120,427 (−1) · 120,431 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 11 · 14 · 17 · 22 · 23 · 28 · 34 · 44 · 46 · 68 · 77 · 92 · 119 · 154 · 161 · 187 · 238 · 253 · 308 · 322 · 374 · 391 · 476 · 506 · 644 · 748 · 782 · 1012 · 1309 · 1564 · 1771 · 2618 · 2737 · 3542 · 4301 · 5236 · 5474 · 7084 · 8602 · 10948 · 17204 · 30107 · 60214 (half) · 120428
Aliquot sum (sum of proper divisors): 169,876
Factor pairs (a × b = 120,428)
1 × 120428
2 × 60214
4 × 30107
7 × 17204
11 × 10948
14 × 8602
17 × 7084
22 × 5474
23 × 5236
28 × 4301
34 × 3542
44 × 2737
46 × 2618
68 × 1771
77 × 1564
92 × 1309
119 × 1012
154 × 782
161 × 748
187 × 644
238 × 506
253 × 476
308 × 391
322 × 374
First multiples
120,428 · 240,856 (double) · 361,284 · 481,712 · 602,140 · 722,568 · 842,996 · 963,424 · 1,083,852 · 1,204,280

Sums & aliquot sequence

As consecutive integers: 17,201 + 17,202 + … + 17,207 15,050 + 15,051 + … + 15,057 10,943 + 10,944 + … + 10,953 7,076 + 7,077 + … + 7,092
Aliquot sequence: 120,428 169,876 169,932 320,040 878,040 2,084,040 5,666,040 12,749,760 33,610,320 79,266,756 105,689,036 80,996,092 69,085,028 51,813,778 28,587,002 15,445,030 12,356,042 — unresolved within range

Continued fraction of √n

√120,428 = [347; (36, 1, 1, 8, 1, 1, 36, 694)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand four hundred twenty-eight
Ordinal
120428th
Binary
11101011001101100
Octal
353154
Hexadecimal
0x1D66C
Base64
AdZs
One's complement
4,294,846,867 (32-bit)
Scientific notation
1.20428 × 10⁵
As a duration
120,428 s = 1 day, 9 hours, 27 minutes, 8 seconds
In other bases
ternary (3) 20010012022
quaternary (4) 131121230
quinary (5) 12323203
senary (6) 2325312
septenary (7) 1011050
nonary (9) 203168
undecimal (11) 82530
duodecimal (12) 59838
tridecimal (13) 42a79
tetradecimal (14) 31c60
pentadecimal (15) 25a38

As an angle

120,428° = 334 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκυκηʹ
Mayan (base 20)
𝋯·𝋡·𝋡·𝋨
Chinese
一十二萬零四百二十八
Chinese (financial)
壹拾貳萬零肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٢٠٤٢٨ Devanagari १२०४२८ Bengali ১২০৪২৮ Tamil ௧௨௦௪௨௮ Thai ๑๒๐๔๒๘ Tibetan ༡༢༠༤༢༨ Khmer ១២០៤២៨ Lao ໑໒໐໔໒໘ Burmese ၁၂၀၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120428, here are decompositions:

  • 31 + 120397 = 120428
  • 37 + 120391 = 120428
  • 79 + 120349 = 120428
  • 97 + 120331 = 120428
  • 109 + 120319 = 120428
  • 151 + 120277 = 120428
  • 181 + 120247 = 120428
  • 229 + 120199 = 120428

Showing the first eight; more decompositions exist.

Unicode codepoint
𝙬
Mathematical Sans-Serif Bold Italic Small W
U+1D66C
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 99 AC (4 bytes).

Hex color
#01D66C
RGB(1, 214, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.108.

Address
0.1.214.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.108

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 120,428 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.