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117,600

117,600 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.).

117,600 (one hundred seventeen thousand six hundred) is an even 6-digit number. It is a composite number with 108 divisors, and factors as 2⁵ × 3 × 5² × 7². Its proper divisors sum to 327,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CB60.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
6,711
Square (n²)
13,829,760,000
Cube (n³)
1,626,379,776,000,000
Divisor count
108
σ(n) — sum of divisors
445,284
φ(n) — Euler's totient
26,880
Sum of prime factors
37

Primality

Prime factorization: 2 5 × 3 × 5 2 × 7 2

Nearest primes: 117,577 (−23) · 117,617 (+17)

Divisors & multiples

All divisors (108)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 16 · 20 · 21 · 24 · 25 · 28 · 30 · 32 · 35 · 40 · 42 · 48 · 49 · 50 · 56 · 60 · 70 · 75 · 80 · 84 · 96 · 98 · 100 · 105 · 112 · 120 · 140 · 147 · 150 · 160 · 168 · 175 · 196 · 200 · 210 · 224 · 240 · 245 · 280 · 294 · 300 · 336 · 350 · 392 · 400 · 420 · 480 · 490 · 525 · 560 · 588 · 600 · 672 · 700 · 735 · 784 · 800 · 840 · 980 · 1050 · 1120 · 1176 · 1200 · 1225 · 1400 · 1470 · 1568 · 1680 · 1960 · 2100 · 2352 · 2400 · 2450 · 2800 · 2940 · 3360 · 3675 · 3920 · 4200 · 4704 · 4900 · 5600 · 5880 · 7350 · 7840 · 8400 · 9800 · 11760 · 14700 · 16800 · 19600 · 23520 · 29400 · 39200 · 58800 (half) · 117600
Aliquot sum (sum of proper divisors): 327,684
Factor pairs (a × b = 117,600)
1 × 117600
2 × 58800
3 × 39200
4 × 29400
5 × 23520
6 × 19600
7 × 16800
8 × 14700
10 × 11760
12 × 9800
14 × 8400
15 × 7840
16 × 7350
20 × 5880
21 × 5600
24 × 4900
25 × 4704
28 × 4200
30 × 3920
32 × 3675
35 × 3360
40 × 2940
42 × 2800
48 × 2450
49 × 2400
50 × 2352
56 × 2100
60 × 1960
70 × 1680
75 × 1568
80 × 1470
84 × 1400
96 × 1225
98 × 1200
100 × 1176
105 × 1120
112 × 1050
120 × 980
140 × 840
147 × 800
150 × 784
160 × 735
168 × 700
175 × 672
196 × 600
200 × 588
210 × 560
224 × 525
240 × 490
245 × 480
280 × 420
294 × 400
300 × 392
336 × 350
First multiples
117,600 · 235,200 (double) · 352,800 · 470,400 · 588,000 · 705,600 · 823,200 · 940,800 · 1,058,400 · 1,176,000

Sums & aliquot sequence

As consecutive integers: 39,199 + 39,200 + 39,201 23,518 + 23,519 + 23,520 + 23,521 + 23,522 16,797 + 16,798 + … + 16,803 7,833 + 7,834 + … + 7,847
Aliquot sequence: 117,600 327,684 575,484 1,230,852 2,051,644 2,141,636 2,141,692 2,250,276 4,069,884 7,621,124 7,621,180 10,669,988 10,670,044 13,328,924 13,698,244 14,799,932 15,361,444 — unresolved within range

Continued fraction of √n

√117,600 = [342; (1, 12, 1, 684)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand six hundred
Ordinal
117600th
Binary
11100101101100000
Octal
345540
Hexadecimal
0x1CB60
Base64
Actg
One's complement
4,294,849,695 (32-bit)
Scientific notation
1.176 × 10⁵
As a duration
117,600 s = 1 day, 8 hours, 40 minutes
In other bases
ternary (3) 12222022120
quaternary (4) 130231200
quinary (5) 12230400
senary (6) 2304240
septenary (7) 666600
nonary (9) 188276
undecimal (11) 8039a
duodecimal (12) 58080
tridecimal (13) 416b2
tetradecimal (14) 30c00
pentadecimal (15) 24ca0

As an angle

117,600° = 326 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ριζχʹ
Mayan (base 20)
𝋮·𝋮·𝋠·𝋠
Chinese
一十一萬七千六百
Chinese (financial)
壹拾壹萬柒仟陸佰
In other modern scripts
Eastern Arabic ١١٧٦٠٠ Devanagari ११७६०० Bengali ১১৭৬০০ Tamil ௧௧௭௬௦௦ Thai ๑๑๗๖๐๐ Tibetan ༡༡༧༦༠༠ Khmer ១១៧៦០០ Lao ໑໑໗໖໐໐ Burmese ၁၁၇၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117600, here are decompositions:

  • 23 + 117577 = 117600
  • 29 + 117571 = 117600
  • 37 + 117563 = 117600
  • 59 + 117541 = 117600
  • 61 + 117539 = 117600
  • 71 + 117529 = 117600
  • 83 + 117517 = 117600
  • 89 + 117511 = 117600

Showing the first eight; more decompositions exist.

Hex color
#01CB60
RGB(1, 203, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.96.

Address
0.1.203.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.96

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 117,600 and was likely granted around 1871.

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

Position in π

The digit sequence 117600 first appears in π at position 8,608 of the decimal expansion (the 8,608ordinal-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°.