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40,960

40,960 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 Gapful Number Happy Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
16 bits
Reversed
6,904
Recamán's sequence
a(152,259) = 40,960
Square (n²)
1,677,721,600
Cube (n³)
68,719,476,736,000
Divisor count
28
σ(n) — sum of divisors
98,298
φ(n) — Euler's totient
16,384
Sum of prime factors
31

Primality

Prime factorization: 2 13 × 5

Nearest primes: 40,949 (−11) · 40,961 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 256 · 320 · 512 · 640 · 1024 · 1280 · 2048 · 2560 · 4096 · 5120 · 8192 · 10240 · 20480 (half) · 40960
Aliquot sum (sum of proper divisors): 57,338
Factor pairs (a × b = 40,960)
1 × 40960
2 × 20480
4 × 10240
5 × 8192
8 × 5120
10 × 4096
16 × 2560
20 × 2048
32 × 1280
40 × 1024
64 × 640
80 × 512
128 × 320
160 × 256
First multiples
40,960 · 81,920 (double) · 122,880 · 163,840 · 204,800 · 245,760 · 286,720 · 327,680 · 368,640 · 409,600

Sums & aliquot sequence

As a sum of two squares: 64² + 192²
As consecutive integers: 8,190 + 8,191 + 8,192 + 8,193 + 8,194
Aliquot sequence: 40,960 57,338 28,672 36,856 36,584 36,316 36,372 60,844 66,164 74,956 75,012 140,028 233,604 471,100 698,964 1,212,204 2,020,564 — unresolved within range

Representations

In words
forty thousand nine hundred sixty
Ordinal
40960th
Binary
1010000000000000
Octal
120000
Hexadecimal
0xA000
Base64
oAA=
One's complement
24,575 (16-bit)
In other bases
ternary (3) 2002012001
quaternary (4) 22000000
quinary (5) 2302320
senary (6) 513344
septenary (7) 230263
nonary (9) 62161
undecimal (11) 28857
duodecimal (12) 1b854
tridecimal (13) 1584a
tetradecimal (14) 10cda
pentadecimal (15) c20a

Historical numeral systems

Babylonian (base 60)
𒌋𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵μϡξʹ
Mayan (base 20)
𝋥·𝋢·𝋨·𝋠
Chinese
四萬零九百六十
Chinese (financial)
肆萬零玖佰陸拾
In other modern scripts
Eastern Arabic ٤٠٩٦٠ Devanagari ४०९६० Bengali ৪০৯৬০ Tamil ௪௦௯௬௦ Thai ๔๐๙๖๐ Tibetan ༤༠༩༦༠ Khmer ៤០៩៦០ Lao ໔໐໙໖໐ Burmese ၄၀၉၆၀

Digit at this position in famous constants

π — Pi (π)
Digit 40,960 = 5
e — Euler's number (e)
Digit 40,960 = 4
φ — Golden ratio (φ)
Digit 40,960 = 2
√2 — Pythagoras's (√2)
Digit 40,960 = 2
ln 2 — Natural log of 2
Digit 40,960 = 5
γ — Euler-Mascheroni (γ)
Digit 40,960 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 40960, here are decompositions:

  • 11 + 40949 = 40960
  • 107 + 40853 = 40960
  • 113 + 40847 = 40960
  • 131 + 40829 = 40960
  • 137 + 40823 = 40960
  • 173 + 40787 = 40960
  • 197 + 40763 = 40960
  • 251 + 40709 = 40960

Showing the first eight; more decompositions exist.

Unicode codepoint
ꀀ
Yi Syllable It
U+A000
Other letter (Lo)

UTF-8 encoding: EA 80 80 (3 bytes).

Hex color
#00A000
RGB(0, 160, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.160.0.

Address
0.0.160.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.160.0

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

Position in π

The digit sequence 40960 first appears in π at position 43,358 of the decimal expansion (the 43,358ordinal-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.