Live analysis

20,400

20,400 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.).

20,400 (twenty thousand four hundred) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 17. Its proper divisors sum to 48,792, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4FB0.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

20,388 20,389 20,390 20,391 20,392 20,393 20,394 20,395 20,396 20,397 20,398 20,399 20,400 20,401 20,402 20,403 20,404 20,405 20,406 20,407 20,408 20,409 20,410 20,411 20,412

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 15 bits
Reversed: 402
Recamán's sequence: a(86,416) = 20,400
Square (n²): 416,160,000
Cube (n³): 8,489,664,000,000
Divisor count: 60
σ(n) — sum of divisors: 69,192
φ(n) — Euler's totient: 5,120
Sum of prime factors: 38

Primality

Prime factorization: 2 ⁴ × 3 × 5 ² × 17

Nearest primes: 20,399 (−1) · 20,407 (+7)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 17 · 20 · 24 · 25 · 30 · 34 · 40 · 48 · 50 · 51 · 60 · 68 · 75 · 80 · 85 · 100 · 102 · 120 · 136 · 150 · 170 · 200 · 204 · 240 · 255 · 272 · 300 · 340 · 400 · 408 · 425 · 510 · 600 · 680 · 816 · 850 · 1020 · 1200 · 1275 · 1360 · 1700 · 2040 · 2550 · 3400 · 4080 · 5100 · 6800 · 10200 (half) · 20400

Aliquot sum (sum of proper divisors): 48,792

Factor pairs (a × b = 20,400)

1 × 20400

2 × 10200

3 × 6800

4 × 5100

5 × 4080

6 × 3400

8 × 2550

10 × 2040

12 × 1700

15 × 1360

16 × 1275

17 × 1200

20 × 1020

24 × 850

25 × 816

30 × 680

34 × 600

40 × 510

48 × 425

50 × 408

51 × 400

60 × 340

68 × 300

75 × 272

80 × 255

85 × 240

100 × 204

102 × 200

120 × 170

136 × 150

First multiples

20,400 · 40,800 (double) · 61,200 · 81,600 · 102,000 · 122,400 · 142,800 · 163,200 · 183,600 · 204,000

Sums & aliquot sequence

As consecutive integers: 6,799 + 6,800 + 6,801 4,078 + 4,079 + 4,080 + 4,081 + 4,082 1,353 + 1,354 + … + 1,367 1,192 + 1,193 + … + 1,208

Aliquot sequence: 20,400 → 48,792 → 80,808 → 174,552 → 324,648 → 592,632 → 1,012,608 → 1,986,192 → 4,005,612 → 7,338,084 → 12,192,924 → 16,725,364 → 12,738,924 → 23,293,716 → 31,804,908 → 42,406,572 → 71,392,596 — unresolved within range

Continued fraction of √n

√20,400 = [142; (1, 4, 1, 4, 1, 284)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: twenty thousand four hundred
Ordinal: 20400th
Binary: 100111110110000
Octal: 47660
Hexadecimal: 0x4FB0
Base64: T7A=
One's complement: 45,135 (16-bit)
Scientific notation: 2.04 × 10⁴
As a duration: 20,400 s = 5 hours, 40 minutes

In other bases

ternary (3) 1000222120

quaternary (4) 10332300

quinary (5) 1123100

senary (6) 234240

septenary (7) 113322

nonary (9) 30876

undecimal (11) 14366

duodecimal (12) b980

tridecimal (13) 9393

tetradecimal (14) 7612

pentadecimal (15) 60a0

As an angle

20,400° = 56 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵κυʹ
Mayan (base 20): 𝋢·𝋫·𝋠·𝋠
Chinese: 二萬零四百
Chinese (financial): 貳萬零肆佰

In other modern scripts

Eastern Arabic ٢٠٤٠٠ Devanagari २०४०० Bengali ২০৪০০ Tamil ௨௦௪௦௦ Thai ๒๐๔๐๐ Tibetan ༢༠༤༠༠ Khmer ២០៤០០ Lao ໒໐໔໐໐ Burmese ၂၀၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 20,400 = 1
e — Euler's number (e): Digit 20,400 = 9
φ — Golden ratio (φ): Digit 20,400 = 5
√2 — Pythagoras's (√2): Digit 20,400 = 0
ln 2 — Natural log of 2: Digit 20,400 = 6
γ — Euler-Mascheroni (γ): Digit 20,400 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20400, here are decompositions:

7 + 20393 = 20400
11 + 20389 = 20400
31 + 20369 = 20400
41 + 20359 = 20400
43 + 20357 = 20400
47 + 20353 = 20400
53 + 20347 = 20400
59 + 20341 = 20400

Showing the first eight; more decompositions exist.

Unicode codepoint

侰

CJK Unified Ideograph-4Fb0

U+4FB0

Other letter (Lo)

UTF-8 encoding: E4 BE B0 (3 bytes).

Lookup U+4FB0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004FB0

RGB(0, 79, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.79.176.

Address: 0.0.79.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.79.176

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

Position in π

The digit sequence 20400 first appears in π at position 32,771 of the decimal expansion (the 32,771ordinal-suffix:st 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 20400 on Pi Search ↗