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46,080

46,080 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 Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
16 bits
Reversed
8,064
Recamán's sequence
a(67,448) = 46,080
Square (n²)
2,123,366,400
Cube (n³)
97,844,723,712,000
Divisor count
66
σ(n) — sum of divisors
159,666
φ(n) — Euler's totient
12,288
Sum of prime factors
31

Primality

Prime factorization: 2 10 × 3 2 × 5

Nearest primes: 46,073 (−7) · 46,091 (+11)

Divisors & multiples

All divisors (66)
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 · 1024 · 1152 · 1280 · 1440 · 1536 · 1920 · 2304 · 2560 · 2880 · 3072 · 3840 · 4608 · 5120 · 5760 · 7680 · 9216 · 11520 · 15360 · 23040 (half) · 46080
Aliquot sum (sum of proper divisors): 113,586
Factor pairs (a × b = 46,080)
1 × 46080
2 × 23040
3 × 15360
4 × 11520
5 × 9216
6 × 7680
8 × 5760
9 × 5120
10 × 4608
12 × 3840
15 × 3072
16 × 2880
18 × 2560
20 × 2304
24 × 1920
30 × 1536
32 × 1440
36 × 1280
40 × 1152
45 × 1024
48 × 960
60 × 768
64 × 720
72 × 640
80 × 576
90 × 512
96 × 480
120 × 384
128 × 360
144 × 320
160 × 288
180 × 256
192 × 240
First multiples
46,080 · 92,160 (double) · 138,240 · 184,320 · 230,400 · 276,480 · 322,560 · 368,640 · 414,720 · 460,800

Sums & aliquot sequence

As a sum of two squares: 96² + 192²
As consecutive integers: 15,359 + 15,360 + 15,361 9,214 + 9,215 + 9,216 + 9,217 + 9,218 5,116 + 5,117 + … + 5,124 3,065 + 3,066 + … + 3,079
Aliquot sequence: 46,080 113,586 134,382 134,394 155,238 155,250 294,030 577,386 673,656 1,010,544 1,675,296 3,929,184 8,847,216 20,091,408 32,071,920 67,351,776 109,446,888 — unresolved within range

Representations

In words
forty-six thousand eighty
Ordinal
46080th
Binary
1011010000000000
Octal
132000
Hexadecimal
0xB400
Base64
tAA=
One's complement
19,455 (16-bit)
In other bases
ternary (3) 2100012200
quaternary (4) 23100000
quinary (5) 2433310
senary (6) 553200
septenary (7) 251226
nonary (9) 70180
undecimal (11) 31691
duodecimal (12) 22800
tridecimal (13) 17c88
tetradecimal (14) 12b16
pentadecimal (15) d9c0

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵μϛπʹ
Mayan (base 20)
𝋥·𝋯·𝋤·𝋠
Chinese
四萬六千零八十
Chinese (financial)
肆萬陸仟零捌拾
In other modern scripts
Eastern Arabic ٤٦٠٨٠ Devanagari ४६०८० Bengali ৪৬০৮০ Tamil ௪௬௦௮௦ Thai ๔๖๐๘๐ Tibetan ༤༦༠༨༠ Khmer ៤៦០៨០ Lao ໔໖໐໘໐ Burmese ၄၆၀၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 46,080 = 1
e — Euler's number (e)
Digit 46,080 = 7
φ — Golden ratio (φ)
Digit 46,080 = 9
√2 — Pythagoras's (√2)
Digit 46,080 = 4
ln 2 — Natural log of 2
Digit 46,080 = 1
γ — Euler-Mascheroni (γ)
Digit 46,080 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 46080, here are decompositions:

  • 7 + 46073 = 46080
  • 19 + 46061 = 46080
  • 29 + 46051 = 46080
  • 31 + 46049 = 46080
  • 53 + 46027 = 46080
  • 59 + 46021 = 46080
  • 101 + 45979 = 46080
  • 109 + 45971 = 46080

Showing the first eight; more decompositions exist.

Unicode codepoint
Hangul Syllable Dwaen
U+B400
Other letter (Lo)

UTF-8 encoding: EB 90 80 (3 bytes).

Hex color
#00B400
RGB(0, 180, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.180.0.

Address
0.0.180.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.180.0

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000046080
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 46080 first appears in π at position 2,289 of the decimal expansion (the 2,289ordinal-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.