Live analysis

130,400

130,400 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.).

130,400 (one hundred thirty thousand four hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 5² × 163. Its proper divisors sum to 189,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FD60.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

130,388 130,389 130,390 130,391 130,392 130,393 130,394 130,395 130,396 130,397 130,398 130,399 130,400 130,401 130,402 130,403 130,404 130,405 130,406 130,407 130,408 130,409 130,410 130,411 130,412

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Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 4,031
Square (n²): 17,004,160,000
Cube (n³): 2,217,342,464,000,000
Divisor count: 36
σ(n) — sum of divisors: 320,292
φ(n) — Euler's totient: 51,840
Sum of prime factors: 183

Primality

Prime factorization: 2 ⁵ × 5 ² × 163

Nearest primes: 130,399 (−1) · 130,409 (+9)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 80 · 100 · 160 · 163 · 200 · 326 · 400 · 652 · 800 · 815 · 1304 · 1630 · 2608 · 3260 · 4075 · 5216 · 6520 · 8150 · 13040 · 16300 · 26080 · 32600 · 65200 (half) · 130400

Aliquot sum (sum of proper divisors): 189,892

Factor pairs (a × b = 130,400)

1 × 130400

2 × 65200

4 × 32600

5 × 26080

8 × 16300

10 × 13040

16 × 8150

20 × 6520

25 × 5216

32 × 4075

40 × 3260

50 × 2608

80 × 1630

100 × 1304

160 × 815

163 × 800

200 × 652

326 × 400

First multiples

130,400 · 260,800 (double) · 391,200 · 521,600 · 652,000 · 782,400 · 912,800 · 1,043,200 · 1,173,600 · 1,304,000

Sums & aliquot sequence

As consecutive integers: 26,078 + 26,079 + 26,080 + 26,081 + 26,082 5,204 + 5,205 + … + 5,228 2,006 + 2,007 + … + 2,069 719 + 720 + … + 881

Aliquot sequence: 130,400 → 189,892 → 154,088 → 182,872 → 160,028 → 145,564 → 111,924 → 171,086 → 87,898 → 46,022 → 23,014 → 12,554 → 6,280 → 7,940 → 8,776 → 7,694 → 3,850 — unresolved within range

Continued fraction of √n

√130,400 = [361; (9, 7, 9, 722)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred thirty thousand four hundred
Ordinal: 130400th
Binary: 11111110101100000
Octal: 376540
Hexadecimal: 0x1FD60
Base64: Af1g
One's complement: 4,294,836,895 (32-bit)
Scientific notation: 1.304 × 10⁵
As a duration: 130,400 s = 1 day, 12 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 20121212122

quaternary (4) 133311200

quinary (5) 13133100

senary (6) 2443412

septenary (7) 1052114

nonary (9) 217778

undecimal (11) 89a76

duodecimal (12) 63568

tridecimal (13) 4747a

tetradecimal (14) 35744

pentadecimal (15) 28985

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ρλυʹ
Mayan (base 20): 𝋰·𝋦·𝋠·𝋠
Chinese: 一十三萬零四百
Chinese (financial): 壹拾參萬零肆佰

In other modern scripts

Eastern Arabic ١٣٠٤٠٠ Devanagari १३०४०० Bengali ১৩০৪০০ Tamil ௧௩௦௪௦௦ Thai ๑๓๐๔๐๐ Tibetan ༡༣༠༤༠༠ Khmer ១៣០៤០០ Lao ໑໓໐໔໐໐ Burmese ၁၃၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130400, here are decompositions:

31 + 130369 = 130400
37 + 130363 = 130400
97 + 130303 = 130400
139 + 130261 = 130400
199 + 130201 = 130400
229 + 130171 = 130400
313 + 130087 = 130400
331 + 130069 = 130400

Showing the first eight; more decompositions exist.

Hex color

#01FD60

RGB(1, 253, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.253.96.

Address: 0.1.253.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.253.96

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 130,400 and was likely granted around 1872.

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

Look up US130,400 on Google Patents ↗ Look up on USPTO ↗