Live analysis

80,400

80,400 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.).

80,400 (eighty thousand four hundred) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3 × 5² × 67. Its proper divisors sum to 180,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x13A10.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

80,388 80,389 80,390 80,391 80,392 80,393 80,394 80,395 80,396 80,397 80,398 80,399 80,400 80,401 80,402 80,403 80,404 80,405 80,406 80,407 80,408 80,409 80,410 80,411 80,412

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 408
Recamán's sequence: a(119,307) = 80,400
Square (n²): 6,464,160,000
Cube (n³): 519,718,464,000,000
Divisor count: 60
σ(n) — sum of divisors: 261,392
φ(n) — Euler's totient: 21,120
Sum of prime factors: 88

Primality

Prime factorization: 2 ⁴ × 3 × 5 ² × 67

Nearest primes: 80,387 (−13) · 80,407 (+7)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 40 · 48 · 50 · 60 · 67 · 75 · 80 · 100 · 120 · 134 · 150 · 200 · 201 · 240 · 268 · 300 · 335 · 400 · 402 · 536 · 600 · 670 · 804 · 1005 · 1072 · 1200 · 1340 · 1608 · 1675 · 2010 · 2680 · 3216 · 3350 · 4020 · 5025 · 5360 · 6700 · 8040 · 10050 · 13400 · 16080 · 20100 · 26800 · 40200 (half) · 80400

Aliquot sum (sum of proper divisors): 180,992

Factor pairs (a × b = 80,400)

1 × 80400

2 × 40200

3 × 26800

4 × 20100

5 × 16080

6 × 13400

8 × 10050

10 × 8040

12 × 6700

15 × 5360

16 × 5025

20 × 4020

24 × 3350

25 × 3216

30 × 2680

40 × 2010

48 × 1675

50 × 1608

60 × 1340

67 × 1200

75 × 1072

80 × 1005

100 × 804

120 × 670

134 × 600

150 × 536

200 × 402

201 × 400

240 × 335

268 × 300

First multiples

80,400 · 160,800 (double) · 241,200 · 321,600 · 402,000 · 482,400 · 562,800 · 643,200 · 723,600 · 804,000

Sums & aliquot sequence

As consecutive integers: 26,799 + 26,800 + 26,801 16,078 + 16,079 + 16,080 + 16,081 + 16,082 5,353 + 5,354 + … + 5,367 3,204 + 3,205 + … + 3,228

Aliquot sequence: 80,400 → 180,992 → 235,984 → 309,616 → 307,656 → 525,774 → 525,786 → 525,798 → 925,722 → 1,531,878 → 1,531,890 → 2,451,258 → 2,985,030 → 5,236,794 → 6,219,846 → 7,256,526 → 7,673,394 — unresolved within range

Continued fraction of √n

√80,400 = [283; (1, 1, 4, 1, 1, 1, 1, 4, 12, 1, 2, 22, 2, 1, 12, 4, 1, 1, 1, 1, 4, 1, 1, 566)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: eighty thousand four hundred
Ordinal: 80400th
Binary: 10011101000010000
Octal: 235020
Hexadecimal: 0x13A10
Base64: AToQ
One's complement: 4,294,886,895 (32-bit)
Scientific notation: 8.04 × 10⁴
As a duration: 80,400 s = 22 hours, 20 minutes

In other bases

ternary (3) 11002021210

quaternary (4) 103220100

quinary (5) 10033100

senary (6) 1420120

septenary (7) 453255

nonary (9) 132253

undecimal (11) 55451

duodecimal (12) 3a640

tridecimal (13) 2a798

tetradecimal (14) 2142c

pentadecimal (15) 18c50

As an angle

80,400° = 223 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋 ·
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵πυʹ
Mayan (base 20): 𝋪·𝋡·𝋠·𝋠
Chinese: 八萬零四百
Chinese (financial): 捌萬零肆佰

In other modern scripts

Eastern Arabic ٨٠٤٠٠ Devanagari ८०४०० Bengali ৮০৪০০ Tamil ௮௦௪௦௦ Thai ๘๐๔๐๐ Tibetan ༨༠༤༠༠ Khmer ៨០៤០០ Lao ໘໐໔໐໐ Burmese ၈၀၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 80,400 = 8
e — Euler's number (e): Digit 80,400 = 5
φ — Golden ratio (φ): Digit 80,400 = 2
√2 — Pythagoras's (√2): Digit 80,400 = 2
ln 2 — Natural log of 2: Digit 80,400 = 7
γ — Euler-Mascheroni (γ): Digit 80,400 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 80400, here are decompositions:

13 + 80387 = 80400
31 + 80369 = 80400
37 + 80363 = 80400
53 + 80347 = 80400
59 + 80341 = 80400
71 + 80329 = 80400
83 + 80317 = 80400
113 + 80287 = 80400

Showing the first eight; more decompositions exist.

Unicode codepoint

𓨐

Egyptian Hieroglyph-13A10

U+13A10

Other letter (Lo)

UTF-8 encoding: F0 93 A8 90 (4 bytes).

Lookup U+13A10 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#013A10

RGB(1, 58, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.58.16.

Address: 0.1.58.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.58.16

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

Position in π

The digit sequence 80400 first appears in π at position 84,687 of the decimal expansion (the 84,687ordinal-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 80400 on Pi Search ↗