Live analysis

10,400

10,400 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.).

10,400 (ten thousand four hundred) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 13. Its proper divisors sum to 16,942, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28A0.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

10,388 10,389 10,390 10,391 10,392 10,393 10,394 10,395 10,396 10,397 10,398 10,399 10,400 10,401 10,402 10,403 10,404 10,405 10,406 10,407 10,408 10,409 10,410 10,411 10,412

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 401
Recamán's sequence: a(50,719) = 10,400
Square (n²): 108,160,000
Cube (n³): 1,124,864,000,000
Divisor count: 36
σ(n) — sum of divisors: 27,342
φ(n) — Euler's totient: 3,840
Sum of prime factors: 33

Primality

Prime factorization: 2 ⁵ × 5 ² × 13

Nearest primes: 10,399 (−1) · 10,427 (+27)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 32 · 40 · 50 · 52 · 65 · 80 · 100 · 104 · 130 · 160 · 200 · 208 · 260 · 325 · 400 · 416 · 520 · 650 · 800 · 1040 · 1300 · 2080 · 2600 · 5200 (half) · 10400

Aliquot sum (sum of proper divisors): 16,942

Factor pairs (a × b = 10,400)

1 × 10400

2 × 5200

4 × 2600

5 × 2080

8 × 1300

10 × 1040

13 × 800

16 × 650

20 × 520

25 × 416

26 × 400

32 × 325

40 × 260

50 × 208

52 × 200

65 × 160

80 × 130

100 × 104

First multiples

10,400 · 20,800 (double) · 31,200 · 41,600 · 52,000 · 62,400 · 72,800 · 83,200 · 93,600 · 104,000

Sums & aliquot sequence

As a sum of two squares: 20² + 100² = 44² + 92² = 68² + 76²

As consecutive integers: 2,078 + 2,079 + 2,080 + 2,081 + 2,082 794 + 795 + … + 806 404 + 405 + … + 428 131 + 132 + … + 194

Aliquot sequence: 10,400 → 16,942 → 9,194 → 4,600 → 6,560 → 9,316 → 8,072 → 7,078 → 3,542 → 3,370 → 2,714 → 1,606 → 1,058 → 601 → 1 → 0 — terminates at zero

Continued fraction of √n

√10,400 = [101; (1, 49, 1, 202)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: ten thousand four hundred
Ordinal: 10400th
Binary: 10100010100000
Octal: 24240
Hexadecimal: 0x28A0
Base64: KKA=
One's complement: 55,135 (16-bit)
Scientific notation: 1.04 × 10⁴
As a duration: 10,400 s = 2 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 112021012

quaternary (4) 2202200

quinary (5) 313100

senary (6) 120052

septenary (7) 42215

nonary (9) 15235

undecimal (11) 78a5

duodecimal (12) 6028

tridecimal (13) 4970

tetradecimal (14) 3b0c

pentadecimal (15) 3135

As an angle

10,400° = 28 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ιυʹ
Mayan (base 20): 𝋡·𝋦·𝋠·𝋠
Chinese: 一萬零四百
Chinese (financial): 壹萬零肆佰

In other modern scripts

Eastern Arabic ١٠٤٠٠ Devanagari १०४०० Bengali ১০৪০০ Tamil ௧௦௪௦௦ Thai ๑๐๔๐๐ Tibetan ༡༠༤༠༠ Khmer ១០៤០០ Lao ໑໐໔໐໐ Burmese ၁၀၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 10,400 = 4
e — Euler's number (e): Digit 10,400 = 2
φ — Golden ratio (φ): Digit 10,400 = 5
√2 — Pythagoras's (√2): Digit 10,400 = 1
ln 2 — Natural log of 2: Digit 10,400 = 9
γ — Euler-Mascheroni (γ): Digit 10,400 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10400, here are decompositions:

31 + 10369 = 10400
43 + 10357 = 10400
67 + 10333 = 10400
79 + 10321 = 10400
97 + 10303 = 10400
127 + 10273 = 10400
157 + 10243 = 10400
223 + 10177 = 10400

Showing the first eight; more decompositions exist.

Unicode codepoint

⢠

Braille Pattern Dots-68

U+28A0

Other symbol (So)

UTF-8 encoding: E2 A2 A0 (3 bytes).

Lookup U+28A0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0028A0

RGB(0, 40, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.160.

Address: 0.0.40.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.40.160

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

Musical pitch

Heard as a frequency, 10,400 Hz is closest to:

Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -24¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +13¢)
Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -23¢)

Position in π

The digit sequence 10400 first appears in π at position 38,270 of the decimal expansion (the 38,270ordinal-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 10400 on Pi Search ↗