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109,600

109,600 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.).
Abundant Number Evil Number Flippable Gapful Number Harshad / Niven Practical Number Recamán's Sequence 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
6,901
Flips to (rotate 180°)
9,601
Recamán's sequence
a(79,239) = 109,600
Square (n²)
12,012,160,000
Cube (n³)
1,316,532,736,000,000
Divisor count
36
σ(n) — sum of divisors
269,514
φ(n) — Euler's totient
43,520
Sum of prime factors
157

Primality

Prime factorization: 2 5 × 5 2 × 137

Nearest primes: 109,597 (−3) · 109,609 (+9)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 137 · 160 · 200 · 274 · 400 · 548 · 685 · 800 · 1096 · 1370 · 2192 · 2740 · 3425 · 4384 · 5480 · 6850 · 10960 · 13700 · 21920 · 27400 · 54800 (half) · 109600
Aliquot sum (sum of proper divisors): 159,914
Factor pairs (a × b = 109,600)
1 × 109600
2 × 54800
4 × 27400
5 × 21920
8 × 13700
10 × 10960
16 × 6850
20 × 5480
25 × 4384
32 × 3425
40 × 2740
50 × 2192
80 × 1370
100 × 1096
137 × 800
160 × 685
200 × 548
274 × 400
First multiples
109,600 · 219,200 (double) · 328,800 · 438,400 · 548,000 · 657,600 · 767,200 · 876,800 · 986,400 · 1,096,000

Sums & aliquot sequence

As a sum of two squares: 68² + 324² = 140² + 300² = 156² + 292²
As consecutive integers: 21,918 + 21,919 + 21,920 + 21,921 + 21,922 4,372 + 4,373 + … + 4,396 1,681 + 1,682 + … + 1,744 732 + 733 + … + 868
Aliquot sequence: 109,600 159,914 86,554 53,306 33,958 16,982 12,154 6,566 5,062 2,534 1,834 1,334 826 614 310 266 214 — unresolved within range

Continued fraction of √n

√109,600 = [331; (16, 1, 40, 2, 3, 1, 3, 165, 3, 1, 3, 2, 40, 1, 16, 662)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred nine thousand six hundred
Ordinal
109600th
Binary
11010110000100000
Octal
326040
Hexadecimal
0x1AC20
Base64
Aawg
One's complement
4,294,857,695 (32-bit)
Scientific notation
1.096 × 10⁵
As a duration
109,600 s = 1 day, 6 hours, 26 minutes, 40 seconds
In other bases
ternary (3) 12120100021
quaternary (4) 122300200
quinary (5) 12001400
senary (6) 2203224
septenary (7) 634351
nonary (9) 176307
undecimal (11) 75387
duodecimal (12) 53514
tridecimal (13) 3ab6a
tetradecimal (14) 2bd28
pentadecimal (15) 2271a

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρθχʹ
Mayan (base 20)
𝋭·𝋮·𝋠·𝋠
Chinese
一十萬九千六百
Chinese (financial)
壹拾萬玖仟陸佰
In other modern scripts
Eastern Arabic ١٠٩٦٠٠ Devanagari १०९६०० Bengali ১০৯৬০০ Tamil ௧௦௯௬௦௦ Thai ๑๐๙๖๐๐ Tibetan ༡༠༩༦༠༠ Khmer ១០៩៦០០ Lao ໑໐໙໖໐໐ Burmese ၁၀၉၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109600, here are decompositions:

  • 3 + 109597 = 109600
  • 11 + 109589 = 109600
  • 17 + 109583 = 109600
  • 53 + 109547 = 109600
  • 59 + 109541 = 109600
  • 83 + 109517 = 109600
  • 131 + 109469 = 109600
  • 149 + 109451 = 109600

Showing the first eight; more decompositions exist.

Hex color
#01AC20
RGB(1, 172, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.172.32.

Address
0.1.172.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.172.32

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 109,600 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000109600
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 109600 first appears in π at position 449,829 of the decimal expansion (the 449,829ordinal-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.