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110,720

110,720 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.).

110,720 (one hundred ten thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 173. Its proper divisors sum to 155,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B080.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
27,011
Recamán's sequence
a(49,799) = 110,720
Square (n²)
12,258,918,400
Cube (n³)
1,357,307,445,248,000
Divisor count
32
σ(n) — sum of divisors
266,220
φ(n) — Euler's totient
44,032
Sum of prime factors
192

Primality

Prime factorization: 2 7 × 5 × 173

Nearest primes: 110,711 (−9) · 110,729 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 173 · 320 · 346 · 640 · 692 · 865 · 1384 · 1730 · 2768 · 3460 · 5536 · 6920 · 11072 · 13840 · 22144 · 27680 · 55360 (half) · 110720
Aliquot sum (sum of proper divisors): 155,500
Factor pairs (a × b = 110,720)
1 × 110720
2 × 55360
4 × 27680
5 × 22144
8 × 13840
10 × 11072
16 × 6920
20 × 5536
32 × 3460
40 × 2768
64 × 1730
80 × 1384
128 × 865
160 × 692
173 × 640
320 × 346
First multiples
110,720 · 221,440 (double) · 332,160 · 442,880 · 553,600 · 664,320 · 775,040 · 885,760 · 996,480 · 1,107,200

Sums & aliquot sequence

As a sum of two squares: 56² + 328² = 152² + 296²
As consecutive integers: 22,142 + 22,143 + 22,144 + 22,145 + 22,146 554 + 555 + … + 726 305 + 306 + … + 560
Aliquot sequence: 110,720 155,500 185,204 138,910 120,290 106,078 75,794 37,900 44,560 59,228 60,724 60,236 57,952 56,204 42,160 64,976 65,968 — unresolved within range

Continued fraction of √n

√110,720 = [332; (1, 2, 1, 15, 2, 13, 10, 3, 11, 1, 3, 2, 21, 41, 1, 1, 4, 1, 6, 5, 2, 1, 4, 1, …)]

Representations

In words
one hundred ten thousand seven hundred twenty
Ordinal
110720th
Binary
11011000010000000
Octal
330200
Hexadecimal
0x1B080
Base64
AbCA
One's complement
4,294,856,575 (32-bit)
Scientific notation
1.1072 × 10⁵
As a duration
110,720 s = 1 day, 6 hours, 45 minutes, 20 seconds
In other bases
ternary (3) 12121212202
quaternary (4) 123002000
quinary (5) 12020340
senary (6) 2212332
septenary (7) 640541
nonary (9) 177782
undecimal (11) 76205
duodecimal (12) 540a8
tridecimal (13) 3b51c
tetradecimal (14) 2c4c8
pentadecimal (15) 22c15

As an angle

110,720° = 307 × 360° + 200°
200° ≈ 3.491 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριψκʹ
Mayan (base 20)
𝋭·𝋰·𝋰·𝋠
Chinese
一十一萬零七百二十
Chinese (financial)
壹拾壹萬零柒佰貳拾
In other modern scripts
Eastern Arabic ١١٠٧٢٠ Devanagari ११०७२० Bengali ১১০৭২০ Tamil ௧௧௦௭௨௦ Thai ๑๑๐๗๒๐ Tibetan ༡༡༠༧༢༠ Khmer ១១០៧២០ Lao ໑໑໐໗໒໐ Burmese ၁၁၀၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110720, here are decompositions:

  • 73 + 110647 = 110720
  • 79 + 110641 = 110720
  • 97 + 110623 = 110720
  • 139 + 110581 = 110720
  • 151 + 110569 = 110720
  • 157 + 110563 = 110720
  • 163 + 110557 = 110720
  • 193 + 110527 = 110720

Showing the first eight; more decompositions exist.

Unicode codepoint
𛂀
Hentaigana Letter Na-3
U+1B080
Other letter (Lo)

UTF-8 encoding: F0 9B 82 80 (4 bytes).

Hex color
#01B080
RGB(1, 176, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.176.128.

Address
0.1.176.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.176.128

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 110,720 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 110720 first appears in π at position 698,078 of the decimal expansion (the 698,078ordinal-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

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