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23,040

23,040 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 Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
4,032
Recamán's sequence
a(83,772) = 23,040
Square (n²)
530,841,600
Cube (n³)
12,230,590,464,000
Divisor count
60
σ(n) — sum of divisors
79,794
φ(n) — Euler's totient
6,144
Sum of prime factors
29

Primality

Prime factorization: 2 9 × 3 2 × 5

Nearest primes: 23,039 (−1) · 23,041 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 32 · 36 · 40 · 45 · 48 · 60 · 64 · 72 · 80 · 90 · 96 · 120 · 128 · 144 · 160 · 180 · 192 · 240 · 256 · 288 · 320 · 360 · 384 · 480 · 512 · 576 · 640 · 720 · 768 · 960 · 1152 · 1280 · 1440 · 1536 · 1920 · 2304 · 2560 · 2880 · 3840 · 4608 · 5760 · 7680 · 11520 (half) · 23040
Aliquot sum (sum of proper divisors): 56,754
Factor pairs (a × b = 23,040)
1 × 23040
2 × 11520
3 × 7680
4 × 5760
5 × 4608
6 × 3840
8 × 2880
9 × 2560
10 × 2304
12 × 1920
15 × 1536
16 × 1440
18 × 1280
20 × 1152
24 × 960
30 × 768
32 × 720
36 × 640
40 × 576
45 × 512
48 × 480
60 × 384
64 × 360
72 × 320
80 × 288
90 × 256
96 × 240
120 × 192
128 × 180
144 × 160
First multiples
23,040 · 46,080 (double) · 69,120 · 92,160 · 115,200 · 138,240 · 161,280 · 184,320 · 207,360 · 230,400

Sums & aliquot sequence

As a sum of two squares: 48² + 144²
As consecutive integers: 7,679 + 7,680 + 7,681 4,606 + 4,607 + 4,608 + 4,609 + 4,610 2,556 + 2,557 + … + 2,564 1,529 + 1,530 + … + 1,543
Aliquot sequence: 23,040 56,754 69,486 73,698 76,638 80,178 113,358 145,842 149,838 194,898 230,478 236,082 371,310 519,906 535,038 688,002 884,670 — unresolved within range

Representations

In words
twenty-three thousand forty
Ordinal
23040th
Binary
101101000000000
Octal
55000
Hexadecimal
0x5A00
Base64
WgA=
One's complement
42,495 (16-bit)
In other bases
ternary (3) 1011121100
quaternary (4) 11220000
quinary (5) 1214130
senary (6) 254400
septenary (7) 124113
nonary (9) 34540
undecimal (11) 16346
duodecimal (12) 11400
tridecimal (13) a644
tetradecimal (14) 857a
pentadecimal (15) 6c60

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κγμʹ
Mayan (base 20)
𝋢·𝋱·𝋬·𝋠
Chinese
二萬三千零四十
Chinese (financial)
貳萬參仟零肆拾
In other modern scripts
Eastern Arabic ٢٣٠٤٠ Devanagari २३०४० Bengali ২৩০৪০ Tamil ௨௩௦௪௦ Thai ๒๓๐๔๐ Tibetan ༢༣༠༤༠ Khmer ២៣០៤០ Lao ໒໓໐໔໐ Burmese ၂၃၀၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 23,040 = 6
e — Euler's number (e)
Digit 23,040 = 7
φ — Golden ratio (φ)
Digit 23,040 = 0
√2 — Pythagoras's (√2)
Digit 23,040 = 4
ln 2 — Natural log of 2
Digit 23,040 = 1
γ — Euler-Mascheroni (γ)
Digit 23,040 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 23040, here are decompositions:

  • 11 + 23029 = 23040
  • 13 + 23027 = 23040
  • 19 + 23021 = 23040
  • 23 + 23017 = 23040
  • 29 + 23011 = 23040
  • 37 + 23003 = 23040
  • 47 + 22993 = 23040
  • 67 + 22973 = 23040

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5A00
U+5A00
Other letter (Lo)

UTF-8 encoding: E5 A8 80 (3 bytes).

Hex color
#005A00
RGB(0, 90, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.90.0.

Address
0.0.90.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.90.0

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

Position in π

The digit sequence 23040 first appears in π at position 201,692 of the decimal expansion (the 201,692ordinal-suffix:nd 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.