number.wiki
Live analysis

5,040

5,040 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 Factorial Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
13 bits
Reversed
405
Recamán's sequence
a(1,996) = 5,040
Square (n²)
25,401,600
Cube (n³)
128,024,064,000
Divisor count
60
σ(n) — sum of divisors
19,344
φ(n) — Euler's totient
1,152
Sum of prime factors
26

Primality

Prime factorization: 2 4 × 3 2 × 5 × 7

Nearest primes: 5,039 (−1) · 5,051 (+11)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 48 · 56 · 60 · 63 · 70 · 72 · 80 · 84 · 90 · 105 · 112 · 120 · 126 · 140 · 144 · 168 · 180 · 210 · 240 · 252 · 280 · 315 · 336 · 360 · 420 · 504 · 560 · 630 · 720 · 840 · 1008 · 1260 · 1680 · 2520 (half) · 5040
Aliquot sum (sum of proper divisors): 14,304
Factor pairs (a × b = 5,040)
1 × 5040
2 × 2520
3 × 1680
4 × 1260
5 × 1008
6 × 840
7 × 720
8 × 630
9 × 560
10 × 504
12 × 420
14 × 360
15 × 336
16 × 315
18 × 280
20 × 252
21 × 240
24 × 210
28 × 180
30 × 168
35 × 144
36 × 140
40 × 126
42 × 120
45 × 112
48 × 105
56 × 90
60 × 84
63 × 80
70 × 72
First multiples
5,040 · 10,080 (double) · 15,120 · 20,160 · 25,200 · 30,240 · 35,280 · 40,320 · 45,360 · 50,400

Sums & aliquot sequence

As consecutive integers: 1,679 + 1,680 + 1,681 1,006 + 1,007 + 1,008 + 1,009 + 1,010 717 + 718 + … + 723 556 + 557 + … + 564
Aliquot sequence: 5,040 → 14,304 → 23,496 → 41,304 → 62,016 → 120,864 → 196,656 → 343,488 → 565,832 → 495,118 → 316,322 → 158,164 → 118,630 → 94,922 → 52,150 → 59,450 → 57,730 — unresolved within range

Representations

In words
five thousand forty
Ordinal
5040th
Binary
1001110110000
Octal
11660
Hexadecimal
0x13B0
Base64
E7A=
One's complement
60,495 (16-bit)
In other bases
ternary (3) 20220200
quaternary (4) 1032300
quinary (5) 130130
senary (6) 35200
septenary (7) 20460
nonary (9) 6820
undecimal (11) 3872
duodecimal (12) 2b00
tridecimal (13) 23a9
tetradecimal (14) 1ba0
pentadecimal (15) 1760

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵εμʹ
Mayan (base 20)
𝋬·𝋬·𝋠
Chinese
五千零四十
Chinese (financial)
伍仟零肆拾
In other modern scripts
Eastern Arabic ٥٠٤٠ Devanagari ५०४० Bengali ৫০৪০ Tamil ௫௦௪௦ Thai ๕๐๔๐ Tibetan ༥༠༤༠ Khmer ៥០៤០ Lao ໕໐໔໐ Burmese ၅၀၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 5,040 = 8
e — Euler's number (e)
Digit 5,040 = 0
φ — Golden ratio (φ)
Digit 5,040 = 8
√2 — Pythagoras's (√2)
Digit 5,040 = 8
ln 2 — Natural log of 2
Digit 5,040 = 4
γ — Euler-Mascheroni (γ)
Digit 5,040 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5040, here are decompositions:

  • 17 + 5023 = 5040
  • 19 + 5021 = 5040
  • 29 + 5011 = 5040
  • 31 + 5009 = 5040
  • 37 + 5003 = 5040
  • 41 + 4999 = 5040
  • 47 + 4993 = 5040
  • 53 + 4987 = 5040

Showing the first eight; more decompositions exist.

Unicode codepoint
Ꮀ
Cherokee Letter Ho
U+13B0
Uppercase letter (Lu)

UTF-8 encoding: E1 8E B0 (3 bytes).

Lookup U+13B0 on Compart ↗ Lookup on FileFormat.Info ↗
Hex color
#0013B0
RGB(0, 19, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.176.

Address
0.0.19.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.176

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

Position in π

The digit sequence 5040 first appears in π at position 14,369 of the decimal expansion (the 14,369ordinal-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.

Look up 5040 on Pi Search ↗