Live analysis

10,240

10,240 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.).

10,240 (ten thousand two hundred forty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2¹¹ × 5. Its proper divisors sum to 14,330, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2800.

Abundant Number Evil Number Frugal Number Gapful Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

10,228 10,229 10,230 10,231 10,232 10,233 10,234 10,235 10,236 10,237 10,238 10,239 10,240 10,241 10,242 10,243 10,244 10,245 10,246 10,247 10,248 10,249 10,250 10,251 10,252

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 14 bits
Reversed: 4,201
Recamán's sequence: a(5,739) = 10,240
Square (n²): 104,857,600
Cube (n³): 1,073,741,824,000
Divisor count: 24
σ(n) — sum of divisors: 24,570
φ(n) — Euler's totient: 4,096
Sum of prime factors: 27

Primality

Prime factorization: 2 ¹¹ × 5

Nearest primes: 10,223 (−17) · 10,243 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 256 · 320 · 512 · 640 · 1024 · 1280 · 2048 · 2560 · 5120 (half) · 10240

Aliquot sum (sum of proper divisors): 14,330

Factor pairs (a × b = 10,240)

1 × 10240

2 × 5120

4 × 2560

5 × 2048

8 × 1280

10 × 1024

16 × 640

20 × 512

32 × 320

40 × 256

64 × 160

80 × 128

First multiples

10,240 · 20,480 (double) · 30,720 · 40,960 · 51,200 · 61,440 · 71,680 · 81,920 · 92,160 · 102,400

Sums & aliquot sequence

As a sum of two squares: 32² + 96²

As consecutive integers: 2,046 + 2,047 + 2,048 + 2,049 + 2,050

Aliquot sequence: 10,240 → 14,330 → 11,482 → 5,744 → 5,416 → 4,754 → 2,380 → 3,668 → 3,724 → 4,256 → 5,824 → 8,400 → 22,352 → 25,264 → 23,716 → 29,351 → 4,849 — unresolved within range

Continued fraction of √n

√10,240 = [101; (5, 5, 2, 2, 1, 2, 2, 2, 13, 12, 1, 1, 2, 1, 5, 1, 4, 2, 1, 21, 1, 3, 1, 49, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words: ten thousand two hundred forty
Ordinal: 10240th
Binary: 10100000000000
Octal: 24000
Hexadecimal: 0x2800
Base64: KAA=
One's complement: 55,295 (16-bit)
Scientific notation: 1.024 × 10⁴
As a duration: 10,240 s = 2 hours, 50 minutes, 40 seconds

In other bases

ternary (3) 112001021

quaternary (4) 2200000

quinary (5) 311430

senary (6) 115224

septenary (7) 41566

nonary (9) 15037

undecimal (11) 776a

duodecimal (12) 5b14

tridecimal (13) 4879

tetradecimal (14) 3a36

pentadecimal (15) 307a

As an angle

10,240° = 28 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ισμʹ
Mayan (base 20): 𝋡·𝋥·𝋬·𝋠
Chinese: 一萬零二百四十
Chinese (financial): 壹萬零貳佰肆拾

In other modern scripts

Eastern Arabic ١٠٢٤٠ Devanagari १०२४० Bengali ১০২৪০ Tamil ௧௦௨௪௦ Thai ๑๐๒๔๐ Tibetan ༡༠༢༤༠ Khmer ១០២៤០ Lao ໑໐໒໔໐ Burmese ၁၀၂၄၀

Digit at this position in famous constants

π — Pi (π): Digit 10,240 = 5
e — Euler's number (e): Digit 10,240 = 7
φ — Golden ratio (φ): Digit 10,240 = 2
√2 — Pythagoras's (√2): Digit 10,240 = 7
ln 2 — Natural log of 2: Digit 10,240 = 8
γ — Euler-Mascheroni (γ): Digit 10,240 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10240, here are decompositions:

17 + 10223 = 10240
29 + 10211 = 10240
47 + 10193 = 10240
59 + 10181 = 10240
71 + 10169 = 10240
89 + 10151 = 10240
101 + 10139 = 10240
107 + 10133 = 10240

Showing the first eight; more decompositions exist.

Unicode codepoint

⠀

Braille Pattern Blank

U+2800

Other symbol (So)

UTF-8 encoding: E2 A0 80 (3 bytes).

Lookup U+2800 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002800

RGB(0, 40, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.0.

Address: 0.0.40.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.40.0

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

Musical pitch

Heard as a frequency, 10,240 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +49¢ — about midway to E9)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -14¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +50¢ — about midway to F9)

Position in π

The digit sequence 10240 first appears in π at position 70,939 of the decimal expansion (the 70,939ordinal-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 10240 on Pi Search ↗