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71,680

71,680 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 Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
8,617
Recamán's sequence
a(128,239) = 71,680
Square (n²)
5,138,022,400
Cube (n³)
368,293,445,632,000
Divisor count
48
σ(n) — sum of divisors
196,560
φ(n) — Euler's totient
24,576
Sum of prime factors
34

Primality

Prime factorization: 2 11 × 5 × 7

Nearest primes: 71,671 (−9) · 71,693 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 32 · 35 · 40 · 56 · 64 · 70 · 80 · 112 · 128 · 140 · 160 · 224 · 256 · 280 · 320 · 448 · 512 · 560 · 640 · 896 · 1024 · 1120 · 1280 · 1792 · 2048 · 2240 · 2560 · 3584 · 4480 · 5120 · 7168 · 8960 · 10240 · 14336 · 17920 · 35840 (half) · 71680
Aliquot sum (sum of proper divisors): 124,880
Factor pairs (a × b = 71,680)
1 × 71680
2 × 35840
4 × 17920
5 × 14336
7 × 10240
8 × 8960
10 × 7168
14 × 5120
16 × 4480
20 × 3584
28 × 2560
32 × 2240
35 × 2048
40 × 1792
56 × 1280
64 × 1120
70 × 1024
80 × 896
112 × 640
128 × 560
140 × 512
160 × 448
224 × 320
256 × 280
First multiples
71,680 · 143,360 (double) · 215,040 · 286,720 · 358,400 · 430,080 · 501,760 · 573,440 · 645,120 · 716,800

Sums & aliquot sequence

As consecutive integers: 14,334 + 14,335 + 14,336 + 14,337 + 14,338 10,237 + 10,238 + … + 10,243 2,031 + 2,032 + … + 2,065
Aliquot sequence: 71,680 124,880 208,432 253,344 593,376 1,188,768 2,560,992 5,406,240 14,068,320 38,186,400 103,929,504 218,670,816 487,832,352 1,003,386,720 2,775,954,048 5,651,057,472 9,383,397,600 — unresolved within range

Representations

In words
seventy-one thousand six hundred eighty
Ordinal
71680th
Binary
10001100000000000
Octal
214000
Hexadecimal
0x11800
Base64
ARgA
One's complement
4,294,895,615 (32-bit)
In other bases
ternary (3) 10122022211
quaternary (4) 101200000
quinary (5) 4243210
senary (6) 1311504
septenary (7) 415660
nonary (9) 118284
undecimal (11) 49944
duodecimal (12) 35594
tridecimal (13) 2681b
tetradecimal (14) 1c1a0
pentadecimal (15) 1638a

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵οαχπʹ
Mayan (base 20)
𝋨·𝋳·𝋤·𝋠
Chinese
七萬一千六百八十
Chinese (financial)
柒萬壹仟陸佰捌拾
In other modern scripts
Eastern Arabic ٧١٦٨٠ Devanagari ७१६८० Bengali ৭১৬৮০ Tamil ௭௧௬௮௦ Thai ๗๑๖๘๐ Tibetan ༧༡༦༨༠ Khmer ៧១៦៨០ Lao ໗໑໖໘໐ Burmese ၇၁၆၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 71,680 = 7
e — Euler's number (e)
Digit 71,680 = 0
φ — Golden ratio (φ)
Digit 71,680 = 1
√2 — Pythagoras's (√2)
Digit 71,680 = 2
ln 2 — Natural log of 2
Digit 71,680 = 2
γ — Euler-Mascheroni (γ)
Digit 71,680 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 71680, here are decompositions:

  • 17 + 71663 = 71680
  • 47 + 71633 = 71680
  • 83 + 71597 = 71680
  • 131 + 71549 = 71680
  • 197 + 71483 = 71680
  • 227 + 71453 = 71680
  • 251 + 71429 = 71680
  • 269 + 71411 = 71680

Showing the first eight; more decompositions exist.

Unicode codepoint
𑠀
Dogra Letter A
U+11800
Other letter (Lo)

UTF-8 encoding: F0 91 A0 80 (4 bytes).

Hex color
#011800
RGB(1, 24, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.24.0.

Address
0.1.24.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.24.0

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 71680 first appears in π at position 106,563 of the decimal expansion (the 106,563ordinal-suffix:rd 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.