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110,628

110,628 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.).

110,628 (one hundred ten thousand six hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 439. Its proper divisors sum to 209,692, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B024.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
826,011
Recamán's sequence
a(77,643) = 110,628
Square (n²)
12,238,554,384
Cube (n³)
1,353,926,794,393,152
Divisor count
36
σ(n) — sum of divisors
320,320
φ(n) — Euler's totient
31,536
Sum of prime factors
456

Primality

Prime factorization: 2 2 × 3 2 × 7 × 439

Nearest primes: 110,623 (−5) · 110,629 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 252 · 439 · 878 · 1317 · 1756 · 2634 · 3073 · 3951 · 5268 · 6146 · 7902 · 9219 · 12292 · 15804 · 18438 · 27657 · 36876 · 55314 (half) · 110628
Aliquot sum (sum of proper divisors): 209,692
Factor pairs (a × b = 110,628)
1 × 110628
2 × 55314
3 × 36876
4 × 27657
6 × 18438
7 × 15804
9 × 12292
12 × 9219
14 × 7902
18 × 6146
21 × 5268
28 × 3951
36 × 3073
42 × 2634
63 × 1756
84 × 1317
126 × 878
252 × 439
First multiples
110,628 · 221,256 (double) · 331,884 · 442,512 · 553,140 · 663,768 · 774,396 · 885,024 · 995,652 · 1,106,280

Sums & aliquot sequence

As consecutive integers: 36,875 + 36,876 + 36,877 15,801 + 15,802 + … + 15,807 13,825 + 13,826 + … + 13,832 12,288 + 12,289 + … + 12,296
Aliquot sequence: 110,628 209,692 209,748 403,116 672,084 1,370,796 2,284,884 4,316,620 6,989,108 7,812,364 8,792,420 13,937,308 17,318,756 20,783,644 23,760,716 27,176,884 27,176,940 — unresolved within range

Continued fraction of √n

√110,628 = [332; (1, 1, 1, 1, 4, 2, 10, 1, 4, 1, 2, 10, 24, 1, 1, 5, 1, 1, 2, 5, 9, 1, 1, 2, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand six hundred twenty-eight
Ordinal
110628th
Binary
11011000000100100
Octal
330044
Hexadecimal
0x1B024
Base64
AbAk
One's complement
4,294,856,667 (32-bit)
Scientific notation
1.10628 × 10⁵
As a duration
110,628 s = 1 day, 6 hours, 43 minutes, 48 seconds
In other bases
ternary (3) 12121202100
quaternary (4) 123000210
quinary (5) 12020003
senary (6) 2212100
septenary (7) 640350
nonary (9) 177670
undecimal (11) 76131
duodecimal (12) 54030
tridecimal (13) 3b47b
tetradecimal (14) 2c460
pentadecimal (15) 22ba3

As an angle

110,628° = 307 × 360° + 108°
108° ≈ 1.885 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριχκηʹ
Mayan (base 20)
𝋭·𝋰·𝋫·𝋨
Chinese
一十一萬零六百二十八
Chinese (financial)
壹拾壹萬零陸佰貳拾捌
In other modern scripts
Eastern Arabic ١١٠٦٢٨ Devanagari ११०६२८ Bengali ১১০৬২৮ Tamil ௧௧௦௬௨௮ Thai ๑๑๐๖๒๘ Tibetan ༡༡༠༦༢༨ Khmer ១១០៦២៨ Lao ໑໑໐໖໒໘ Burmese ၁၁၀၆၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110628, here are decompositions:

  • 5 + 110623 = 110628
  • 19 + 110609 = 110628
  • 31 + 110597 = 110628
  • 41 + 110587 = 110628
  • 47 + 110581 = 110628
  • 59 + 110569 = 110628
  • 61 + 110567 = 110628
  • 71 + 110557 = 110628

Showing the first eight; more decompositions exist.

Unicode codepoint
𛀤
Hentaigana Letter Ki-2
U+1B024
Other letter (Lo)

UTF-8 encoding: F0 9B 80 A4 (4 bytes).

Hex color
#01B024
RGB(1, 176, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.176.36.

Address
0.1.176.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.176.36

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 110,628 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°.