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12,520

12,520 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.).

12,520 (twelve thousand five hundred twenty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 313. Its proper divisors sum to 15,740, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x30E8.

Abundant Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
2,521
Recamán's sequence
a(49,235) = 12,520
Square (n²)
156,750,400
Cube (n³)
1,962,515,008,000
Divisor count
16
σ(n) — sum of divisors
28,260
φ(n) — Euler's totient
4,992
Sum of prime factors
324

Primality

Prime factorization: 2 3 × 5 × 313

Nearest primes: 12,517 (−3) · 12,527 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 313 · 626 · 1252 · 1565 · 2504 · 3130 · 6260 (half) · 12520
Aliquot sum (sum of proper divisors): 15,740
Factor pairs (a × b = 12,520)
1 × 12520
2 × 6260
4 × 3130
5 × 2504
8 × 1565
10 × 1252
20 × 626
40 × 313
First multiples
12,520 · 25,040 (double) · 37,560 · 50,080 · 62,600 · 75,120 · 87,640 · 100,160 · 112,680 · 125,200

Sums & aliquot sequence

As a sum of two squares: 46² + 102² = 54² + 98²
As consecutive integers: 2,502 + 2,503 + 2,504 + 2,505 + 2,506 775 + 776 + … + 790 117 + 118 + … + 196
Aliquot sequence: 12,520 15,740 17,356 13,024 15,704 16,216 14,204 11,500 14,708 11,038 5,522 3,550 3,146 2,440 3,140 3,496 3,704 — unresolved within range

Continued fraction of √n

√12,520 = [111; (1, 8, 3, 24, 1, 1, 5, 4, 2, 1, 1, 2, 5, 1, 4, 1, 8, 2, 55, 2, 8, 1, 4, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
twelve thousand five hundred twenty
Ordinal
12520th
Binary
11000011101000
Octal
30350
Hexadecimal
0x30E8
Base64
MOg=
One's complement
53,015 (16-bit)
Scientific notation
1.252 × 10⁴
As a duration
12,520 s = 3 hours, 28 minutes, 40 seconds
In other bases
ternary (3) 122011201
quaternary (4) 3003220
quinary (5) 400040
senary (6) 133544
septenary (7) 51334
nonary (9) 18151
undecimal (11) 9452
duodecimal (12) 72b4
tridecimal (13) 5911
tetradecimal (14) 47c4
pentadecimal (15) 3a9a

As an angle

12,520° = 34 × 360° + 280°
280° ≈ 4.887 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ιβφκʹ
Mayan (base 20)
𝋡·𝋫·𝋦·𝋠
Chinese
一萬二千五百二十
Chinese (financial)
壹萬貳仟伍佰貳拾
In other modern scripts
Eastern Arabic ١٢٥٢٠ Devanagari १२५२० Bengali ১২৫২০ Tamil ௧௨௫௨௦ Thai ๑๒๕๒๐ Tibetan ༡༢༥༢༠ Khmer ១២៥២០ Lao ໑໒໕໒໐ Burmese ၁၂၅၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 12,520 = 0
e — Euler's number (e)
Digit 12,520 = 3
φ — Golden ratio (φ)
Digit 12,520 = 6
√2 — Pythagoras's (√2)
Digit 12,520 = 9
ln 2 — Natural log of 2
Digit 12,520 = 5
γ — Euler-Mascheroni (γ)
Digit 12,520 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12520, here are decompositions:

  • 3 + 12517 = 12520
  • 17 + 12503 = 12520
  • 23 + 12497 = 12520
  • 29 + 12491 = 12520
  • 41 + 12479 = 12520
  • 47 + 12473 = 12520
  • 83 + 12437 = 12520
  • 107 + 12413 = 12520

Showing the first eight; more decompositions exist.

Unicode codepoint
Katakana Letter Yo
U+30E8
Other letter (Lo)

UTF-8 encoding: E3 83 A8 (3 bytes).

Hex color
#0030E8
RGB(0, 48, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.232.

Address
0.0.48.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.48.232

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

Musical pitch

Heard as a frequency, 12,520 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, -3¢)
  • Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, +34¢)
  • Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, -2¢)
Position in π

The digit sequence 12520 first appears in π at position 1,843 of the decimal expansion (the 1,843ordinal-suffix:rd 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.

Related reading