Live analysis

13,120

13,120 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.).

13,120 (thirteen thousand one hundred twenty) is an even 5-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 41. Its proper divisors sum to 18,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3340.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,108 13,109 13,110 13,111 13,112 13,113 13,114 13,115 13,116 13,117 13,118 13,119 13,120 13,121 13,122 13,123 13,124 13,125 13,126 13,127 13,128 13,129 13,130 13,131 13,132

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Properties

Parity: Even
Digit count: 5
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 2,131
Recamán's sequence: a(48,035) = 13,120
Square (n²): 172,134,400
Cube (n³): 2,258,403,328,000
Divisor count: 28
σ(n) — sum of divisors: 32,004
φ(n) — Euler's totient: 5,120
Sum of prime factors: 58

Primality

Prime factorization: 2 ⁶ × 5 × 41

Nearest primes: 13,109 (−11) · 13,121 (+1)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 41 · 64 · 80 · 82 · 160 · 164 · 205 · 320 · 328 · 410 · 656 · 820 · 1312 · 1640 · 2624 · 3280 · 6560 (half) · 13120

Aliquot sum (sum of proper divisors): 18,884

Factor pairs (a × b = 13,120)

1 × 13120

2 × 6560

4 × 3280

5 × 2624

8 × 1640

10 × 1312

16 × 820

20 × 656

32 × 410

40 × 328

41 × 320

64 × 205

80 × 164

82 × 160

First multiples

13,120 · 26,240 (double) · 39,360 · 52,480 · 65,600 · 78,720 · 91,840 · 104,960 · 118,080 · 131,200

Sums & aliquot sequence

As a sum of two squares: 24² + 112² = 48² + 104²

As consecutive integers: 2,622 + 2,623 + 2,624 + 2,625 + 2,626 300 + 301 + … + 340 39 + 40 + … + 166

Aliquot sequence: 13,120 → 18,884 → 14,170 → 13,550 → 11,746 → 8,414 → 6,034 → 4,334 → 2,794 → 1,814 → 910 → 1,106 → 814 → 554 → 280 → 440 → 640 — unresolved within range

Continued fraction of √n

√13,120 = [114; (1, 1, 5, 2, 1, 2, 7, 57, 7, 2, 1, 2, 5, 1, 1, 228)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand one hundred twenty
Ordinal: 13120th
Binary: 11001101000000
Octal: 31500
Hexadecimal: 0x3340
Base64: M0A=
One's complement: 52,415 (16-bit)
Scientific notation: 1.312 × 10⁴
As a duration: 13,120 s = 3 hours, 38 minutes, 40 seconds

In other bases

ternary (3) 122222221

quaternary (4) 3031000

quinary (5) 404440

senary (6) 140424

septenary (7) 53152

nonary (9) 18887

undecimal (11) 9948

duodecimal (12) 7714

tridecimal (13) 5c83

tetradecimal (14) 4ad2

pentadecimal (15) 3d4a

Palindromic in base 3

As an angle

13,120° = 36 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵ιγρκʹ
Mayan (base 20): 𝋡·𝋬·𝋰·𝋠
Chinese: 一萬三千一百二十
Chinese (financial): 壹萬參仟壹佰貳拾

In other modern scripts

Eastern Arabic ١٣١٢٠ Devanagari १३१२० Bengali ১৩১২০ Tamil ௧௩௧௨௦ Thai ๑๓๑๒๐ Tibetan ༡༣༡༢༠ Khmer ១៣១២០ Lao ໑໓໑໒໐ Burmese ၁၃၁၂၀

Digit at this position in famous constants

π — Pi (π): Digit 13,120 = 2
e — Euler's number (e): Digit 13,120 = 9
φ — Golden ratio (φ): Digit 13,120 = 9
√2 — Pythagoras's (√2): Digit 13,120 = 8
ln 2 — Natural log of 2: Digit 13,120 = 4
γ — Euler-Mascheroni (γ): Digit 13,120 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13120, here are decompositions:

11 + 13109 = 13120
17 + 13103 = 13120
71 + 13049 = 13120
83 + 13037 = 13120
113 + 13007 = 13120
137 + 12983 = 13120
167 + 12953 = 13120
179 + 12941 = 13120

Showing the first eight; more decompositions exist.

Unicode codepoint

㍀

Square Pondo

U+3340

Other symbol (So)

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

Lookup U+3340 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003340

RGB(0, 51, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.64.

Address: 0.0.51.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.64

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

Musical pitch

Heard as a frequency, 13,120 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -22¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +15¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -21¢)

Position in π

The digit sequence 13120 first appears in π at position 58,370 of the decimal expansion (the 58,370ordinal-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 13120 on Pi Search ↗