Live analysis

108,400

108,400 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.).

108,400 (one hundred eight thousand four hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 271. Its proper divisors sum to 152,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A770.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

108,388 108,389 108,390 108,391 108,392 108,393 108,394 108,395 108,396 108,397 108,398 108,399 108,400 108,401 108,402 108,403 108,404 108,405 108,406 108,407 108,408 108,409 108,410 108,411 108,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 4,801
Recamán's sequence: a(250,632) = 108,400
Square (n²): 11,750,560,000
Cube (n³): 1,273,760,704,000,000
Divisor count: 30
σ(n) — sum of divisors: 261,392
φ(n) — Euler's totient: 43,200
Sum of prime factors: 289

Primality

Prime factorization: 2 ⁴ × 5 ² × 271

Nearest primes: 108,379 (−21) · 108,401 (+1)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 271 · 400 · 542 · 1084 · 1355 · 2168 · 2710 · 4336 · 5420 · 6775 · 10840 · 13550 · 21680 · 27100 · 54200 (half) · 108400

Aliquot sum (sum of proper divisors): 152,992

Factor pairs (a × b = 108,400)

1 × 108400

2 × 54200

4 × 27100

5 × 21680

8 × 13550

10 × 10840

16 × 6775

20 × 5420

25 × 4336

40 × 2710

50 × 2168

80 × 1355

100 × 1084

200 × 542

271 × 400

First multiples

108,400 · 216,800 (double) · 325,200 · 433,600 · 542,000 · 650,400 · 758,800 · 867,200 · 975,600 · 1,084,000

Sums & aliquot sequence

As consecutive integers: 21,678 + 21,679 + 21,680 + 21,681 + 21,682 4,324 + 4,325 + … + 4,348 3,372 + 3,373 + … + 3,403 598 + 599 + … + 757

Aliquot sequence: 108,400 → 152,992 → 191,744 → 249,760 → 427,616 → 588,448 → 790,496 → 988,624 → 1,435,700 → 2,200,786 → 1,868,330 → 1,536,694 → 768,350 → 814,882 → 413,870 → 331,114 → 246,614 — unresolved within range

Continued fraction of √n

√108,400 = [329; (4, 7, 6, 1, 2, 1, 1, 2, 2, 1, 5, 4, 2, 1, 1, 15, 2, 7, 1, 1, 1, 4, 2, 4, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one hundred eight thousand four hundred
Ordinal: 108400th
Binary: 11010011101110000
Octal: 323560
Hexadecimal: 0x1A770
Base64: Aadw
One's complement: 4,294,858,895 (32-bit)
Scientific notation: 1.084 × 10⁵
As a duration: 108,400 s = 1 day, 6 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 12111200211

quaternary (4) 122131300

quinary (5) 11432100

senary (6) 2153504

septenary (7) 631015

nonary (9) 174624

undecimal (11) 74496

duodecimal (12) 52894

tridecimal (13) 3a456

tetradecimal (14) 2b70c

pentadecimal (15) 221ba

As an angle

108,400° = 301 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ρηυʹ
Mayan (base 20): 𝋭·𝋫·𝋠·𝋠
Chinese: 十萬八千四百
Chinese (financial): 壹拾萬捌仟肆佰

In other modern scripts

Eastern Arabic ١٠٨٤٠٠ Devanagari १०८४०० Bengali ১০৮৪০০ Tamil ௧௦௮௪௦௦ Thai ๑๐๘๔๐๐ Tibetan ༡༠༨༤༠༠ Khmer ១០៨៤០០ Lao ໑໐໘໔໐໐ Burmese ၁၀၈၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108400, here are decompositions:

23 + 108377 = 108400
41 + 108359 = 108400
53 + 108347 = 108400
107 + 108293 = 108400
113 + 108287 = 108400
137 + 108263 = 108400
167 + 108233 = 108400
197 + 108203 = 108400

Showing the first eight; more decompositions exist.

Hex color

#01A770

RGB(1, 167, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.112.

Address: 0.1.167.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.167.112

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 108,400 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US108,400 on Google Patents ↗ Look up on USPTO ↗