Live analysis

120,400

120,400 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.).

120,400 (one hundred twenty thousand four hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 43. Its proper divisors sum to 217,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D650.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

120,388 120,389 120,390 120,391 120,392 120,393 120,394 120,395 120,396 120,397 120,398 120,399 120,400 120,401 120,402 120,403 120,404 120,405 120,406 120,407 120,408 120,409 120,410 120,411 120,412

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 17 bits
Reversed: 4,021
Square (n²): 14,496,160,000
Cube (n³): 1,745,337,664,000,000
Divisor count: 60
σ(n) — sum of divisors: 338,272
φ(n) — Euler's totient: 40,320
Sum of prime factors: 68

Primality

Prime factorization: 2 ⁴ × 5 ² × 7 × 43

Nearest primes: 120,397 (−3) · 120,401 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 43 · 50 · 56 · 70 · 80 · 86 · 100 · 112 · 140 · 172 · 175 · 200 · 215 · 280 · 301 · 344 · 350 · 400 · 430 · 560 · 602 · 688 · 700 · 860 · 1075 · 1204 · 1400 · 1505 · 1720 · 2150 · 2408 · 2800 · 3010 · 3440 · 4300 · 4816 · 6020 · 7525 · 8600 · 12040 · 15050 · 17200 · 24080 · 30100 · 60200 (half) · 120400

Aliquot sum (sum of proper divisors): 217,872

Factor pairs (a × b = 120,400)

1 × 120400

2 × 60200

4 × 30100

5 × 24080

7 × 17200

8 × 15050

10 × 12040

14 × 8600

16 × 7525

20 × 6020

25 × 4816

28 × 4300

35 × 3440

40 × 3010

43 × 2800

50 × 2408

56 × 2150

70 × 1720

80 × 1505

86 × 1400

100 × 1204

112 × 1075

140 × 860

172 × 700

175 × 688

200 × 602

215 × 560

280 × 430

301 × 400

344 × 350

First multiples

120,400 · 240,800 (double) · 361,200 · 481,600 · 602,000 · 722,400 · 842,800 · 963,200 · 1,083,600 · 1,204,000

Sums & aliquot sequence

As consecutive integers: 24,078 + 24,079 + 24,080 + 24,081 + 24,082 17,197 + 17,198 + … + 17,203 4,804 + 4,805 + … + 4,828 3,747 + 3,748 + … + 3,778

Aliquot sequence: 120,400 → 217,872 → 434,988 → 694,140 → 1,337,988 → 1,857,820 → 2,249,780 → 3,148,060 → 4,036,964 → 3,041,800 → 4,167,560 → 5,431,480 → 6,789,440 → 12,060,916 → 12,060,972 → 28,124,628 → 48,416,172 — unresolved within range

Continued fraction of √n

√120,400 = [346; (1, 76, 9, 8, 2, 5, 3, 1, 3, 1, 1, 1, 1, 10, 4, 3, 1, 2, 3, 7, 1, 26, 1, 7, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand four hundred
Ordinal: 120400th
Binary: 11101011001010000
Octal: 353120
Hexadecimal: 0x1D650
Base64: AdZQ
One's complement: 4,294,846,895 (32-bit)
Scientific notation: 1.204 × 10⁵
As a duration: 120,400 s = 1 day, 9 hours, 26 minutes, 40 seconds

In other bases

ternary (3) 20010011021

quaternary (4) 131121100

quinary (5) 12323100

senary (6) 2325224

septenary (7) 1011010

nonary (9) 203137

undecimal (11) 82505

duodecimal (12) 59814

tridecimal (13) 42a57

tetradecimal (14) 31c40

pentadecimal (15) 25a1a

As an angle

120,400° = 334 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ρκυʹ
Mayan (base 20): 𝋯·𝋡·𝋠·𝋠
Chinese: 一十二萬零四百
Chinese (financial): 壹拾貳萬零肆佰

In other modern scripts

Eastern Arabic ١٢٠٤٠٠ Devanagari १२०४०० Bengali ১২০৪০০ Tamil ௧௨௦௪௦௦ Thai ๑๒๐๔๐๐ Tibetan ༡༢༠༤༠༠ Khmer ១២០៤០០ Lao ໑໒໐໔໐໐ Burmese ၁၂၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120400, here are decompositions:

3 + 120397 = 120400
17 + 120383 = 120400
29 + 120371 = 120400
101 + 120299 = 120400
107 + 120293 = 120400
167 + 120233 = 120400
191 + 120209 = 120400
233 + 120167 = 120400

Showing the first eight; more decompositions exist.

Unicode codepoint

𝙐

Mathematical Sans-Serif Bold Italic Capital U

U+1D650

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 90 (4 bytes).

Lookup U+1D650 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D650

RGB(1, 214, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.80.

Address: 0.1.214.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.80

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 120,400 and was likely granted around 1871.

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

Look up US120,400 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120400 first appears in π at position 790,661 of the decimal expansion (the 790,661ordinal-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 120400 on Pi Search ↗