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12,480

12,480 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
8,421
Recamán's sequence
a(21,824) = 12,480
Square (n²)
155,750,400
Cube (n³)
1,943,764,992,000
Divisor count
56
σ(n) — sum of divisors
42,672
φ(n) — Euler's totient
3,072
Sum of prime factors
33

Primality

Prime factorization: 2 6 × 3 × 5 × 13

Nearest primes: 12,479 (−1) · 12,487 (+7)

Divisors & multiples

All divisors (56)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 16 · 20 · 24 · 26 · 30 · 32 · 39 · 40 · 48 · 52 · 60 · 64 · 65 · 78 · 80 · 96 · 104 · 120 · 130 · 156 · 160 · 192 · 195 · 208 · 240 · 260 · 312 · 320 · 390 · 416 · 480 · 520 · 624 · 780 · 832 · 960 · 1040 · 1248 · 1560 · 2080 · 2496 · 3120 · 4160 · 6240 (half) · 12480
Aliquot sum (sum of proper divisors): 30,192
Factor pairs (a × b = 12,480)
1 × 12480
2 × 6240
3 × 4160
4 × 3120
5 × 2496
6 × 2080
8 × 1560
10 × 1248
12 × 1040
13 × 960
15 × 832
16 × 780
20 × 624
24 × 520
26 × 480
30 × 416
32 × 390
39 × 320
40 × 312
48 × 260
52 × 240
60 × 208
64 × 195
65 × 192
78 × 160
80 × 156
96 × 130
104 × 120
First multiples
12,480 · 24,960 (double) · 37,440 · 49,920 · 62,400 · 74,880 · 87,360 · 99,840 · 112,320 · 124,800

Sums & aliquot sequence

As consecutive integers: 4,159 + 4,160 + 4,161 2,494 + 2,495 + 2,496 + 2,497 + 2,498 954 + 955 + … + 966 825 + 826 + … + 839
Aliquot sequence: 12,480 30,192 54,624 89,016 133,584 262,224 491,696 475,504 457,472 456,196 434,428 337,644 533,772 815,576 730,864 769,040 1,019,164 — unresolved within range

Representations

In words
twelve thousand four hundred eighty
Ordinal
12480th
Binary
11000011000000
Octal
30300
Hexadecimal
0x30C0
Base64
MMA=
One's complement
53,055 (16-bit)
In other bases
ternary (3) 122010020
quaternary (4) 3003000
quinary (5) 344410
senary (6) 133440
septenary (7) 51246
nonary (9) 18106
undecimal (11) 9416
duodecimal (12) 7280
tridecimal (13) 58b0
tetradecimal (14) 4796
pentadecimal (15) 3a70

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ιβυπʹ
Mayan (base 20)
𝋡·𝋫·𝋤·𝋠
Chinese
一萬二千四百八十
Chinese (financial)
壹萬貳仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٢٤٨٠ Devanagari १२४८० Bengali ১২৪৮০ Tamil ௧௨௪௮௦ Thai ๑๒๔๘๐ Tibetan ༡༢༤༨༠ Khmer ១២៤៨០ Lao ໑໒໔໘໐ Burmese ၁၂၄၈၀

Digit at this position in famous constants

π — Pi (π)
Digit 12,480 = 4
e — Euler's number (e)
Digit 12,480 = 0
φ — Golden ratio (φ)
Digit 12,480 = 9
√2 — Pythagoras's (√2)
Digit 12,480 = 9
ln 2 — Natural log of 2
Digit 12,480 = 6
γ — Euler-Mascheroni (γ)
Digit 12,480 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12480, here are decompositions:

  • 7 + 12473 = 12480
  • 23 + 12457 = 12480
  • 29 + 12451 = 12480
  • 43 + 12437 = 12480
  • 47 + 12433 = 12480
  • 59 + 12421 = 12480
  • 67 + 12413 = 12480
  • 71 + 12409 = 12480

Showing the first eight; more decompositions exist.

Unicode codepoint
Katakana Letter Da
U+30C0
Other letter (Lo)

UTF-8 encoding: E3 83 80 (3 bytes).

Hex color
#0030C0
RGB(0, 48, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.192.

Address
0.0.48.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.48.192

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

Position in π

The digit sequence 12480 first appears in π at position 42,524 of the decimal expansion (the 42,524ordinal-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.