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110,352

110,352 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.).

110,352 (one hundred ten thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 11² × 19. Its proper divisors sum to 219,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AF10.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
253,011
Recamán's sequence
a(78,047) = 110,352
Square (n²)
12,177,563,904
Cube (n³)
1,343,818,531,934,208
Divisor count
60
σ(n) — sum of divisors
329,840
φ(n) — Euler's totient
31,680
Sum of prime factors
52

Primality

Prime factorization: 2 4 × 3 × 11 2 × 19

Nearest primes: 110,339 (−13) · 110,359 (+7)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 19 · 22 · 24 · 33 · 38 · 44 · 48 · 57 · 66 · 76 · 88 · 114 · 121 · 132 · 152 · 176 · 209 · 228 · 242 · 264 · 304 · 363 · 418 · 456 · 484 · 528 · 627 · 726 · 836 · 912 · 968 · 1254 · 1452 · 1672 · 1936 · 2299 · 2508 · 2904 · 3344 · 4598 · 5016 · 5808 · 6897 · 9196 · 10032 · 13794 · 18392 · 27588 · 36784 · 55176 (half) · 110352
Aliquot sum (sum of proper divisors): 219,488
Factor pairs (a × b = 110,352)
1 × 110352
2 × 55176
3 × 36784
4 × 27588
6 × 18392
8 × 13794
11 × 10032
12 × 9196
16 × 6897
19 × 5808
22 × 5016
24 × 4598
33 × 3344
38 × 2904
44 × 2508
48 × 2299
57 × 1936
66 × 1672
76 × 1452
88 × 1254
114 × 968
121 × 912
132 × 836
152 × 726
176 × 627
209 × 528
228 × 484
242 × 456
264 × 418
304 × 363
First multiples
110,352 · 220,704 (double) · 331,056 · 441,408 · 551,760 · 662,112 · 772,464 · 882,816 · 993,168 · 1,103,520

Sums & aliquot sequence

As consecutive integers: 36,783 + 36,784 + 36,785 10,027 + 10,028 + … + 10,037 5,799 + 5,800 + … + 5,817 3,433 + 3,434 + … + 3,464
Aliquot sequence: 110,352 219,488 236,632 247,568 232,126 118,154 59,080 93,560 117,040 240,080 318,292 281,664 551,456 592,624 555,616 555,704 486,256 — unresolved within range

Continued fraction of √n

√110,352 = [332; (5, 5, 3, 2, 3, 1, 1, 4, 1, 12, 1, 2, 1, 4, 1, 2, 1, 12, 1, 4, 1, 1, 3, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred ten thousand three hundred fifty-two
Ordinal
110352nd
Binary
11010111100010000
Octal
327420
Hexadecimal
0x1AF10
Base64
Aa8Q
One's complement
4,294,856,943 (32-bit)
Scientific notation
1.10352 × 10⁵
As a duration
110,352 s = 1 day, 6 hours, 39 minutes, 12 seconds
In other bases
ternary (3) 12121101010
quaternary (4) 122330100
quinary (5) 12012402
senary (6) 2210520
septenary (7) 636504
nonary (9) 177333
undecimal (11) 75a00
duodecimal (12) 53a40
tridecimal (13) 3b2c8
tetradecimal (14) 2c304
pentadecimal (15) 22a6c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριτνβʹ
Mayan (base 20)
𝋭·𝋯·𝋱·𝋬
Chinese
一十一萬零三百五十二
Chinese (financial)
壹拾壹萬零參佰伍拾貳
In other modern scripts
Eastern Arabic ١١٠٣٥٢ Devanagari ११०३५२ Bengali ১১০৩৫২ Tamil ௧௧௦௩௫௨ Thai ๑๑๐๓๕๒ Tibetan ༡༡༠༣༥༢ Khmer ១១០៣៥២ Lao ໑໑໐໓໕໒ Burmese ၁၁၀၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110352, here are decompositions:

  • 13 + 110339 = 110352
  • 29 + 110323 = 110352
  • 31 + 110321 = 110352
  • 41 + 110311 = 110352
  • 61 + 110291 = 110352
  • 71 + 110281 = 110352
  • 79 + 110273 = 110352
  • 83 + 110269 = 110352

Showing the first eight; more decompositions exist.

Hex color
#01AF10
RGB(1, 175, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.175.16.

Address
0.1.175.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.175.16

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 110,352 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 110352 first appears in π at position 72,314 of the decimal expansion (the 72,314ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.