Live analysis

120,320

120,320 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.).

120,320 (one hundred twenty thousand three hundred twenty) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁹ × 5 × 47. Its proper divisors sum to 174,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D600.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,308 120,309 120,310 120,311 120,312 120,313 120,314 120,315 120,316 120,317 120,318 120,319 120,320 120,321 120,322 120,323 120,324 120,325 120,326 120,327 120,328 120,329 120,330 120,331 120,332

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 23,021
Square (n²): 14,476,902,400
Cube (n³): 1,741,860,896,768,000
Divisor count: 40
σ(n) — sum of divisors: 294,624
φ(n) — Euler's totient: 47,104
Sum of prime factors: 70

Primality

Prime factorization: 2 ⁹ × 5 × 47

Nearest primes: 120,319 (−1) · 120,331 (+11)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 47 · 64 · 80 · 94 · 128 · 160 · 188 · 235 · 256 · 320 · 376 · 470 · 512 · 640 · 752 · 940 · 1280 · 1504 · 1880 · 2560 · 3008 · 3760 · 6016 · 7520 · 12032 · 15040 · 24064 · 30080 · 60160 (half) · 120320

Aliquot sum (sum of proper divisors): 174,304

Factor pairs (a × b = 120,320)

1 × 120320

2 × 60160

4 × 30080

5 × 24064

8 × 15040

10 × 12032

16 × 7520

20 × 6016

32 × 3760

40 × 3008

47 × 2560

64 × 1880

80 × 1504

94 × 1280

128 × 940

160 × 752

188 × 640

235 × 512

256 × 470

320 × 376

First multiples

120,320 · 240,640 (double) · 360,960 · 481,280 · 601,600 · 721,920 · 842,240 · 962,560 · 1,082,880 · 1,203,200

Sums & aliquot sequence

As consecutive integers: 24,062 + 24,063 + 24,064 + 24,065 + 24,066 2,537 + 2,538 + … + 2,583 395 + 396 + … + 629

Aliquot sequence: 120,320 → 174,304 → 196,136 → 171,634 → 85,820 → 120,484 → 139,804 → 139,860 → 370,860 → 817,236 → 1,763,244 → 3,331,300 → 4,932,060 → 10,851,876 → 20,498,716 → 20,498,772 → 34,164,844 — unresolved within range

Continued fraction of √n

√120,320 = [346; (1, 6, 1, 3, 1, 10, 22, 3, 2, 42, 1, 13, 5, 1, 1, 10, 3, 2, 1, 1, 4, 173, 4, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand three hundred twenty
Ordinal: 120320th
Binary: 11101011000000000
Octal: 353000
Hexadecimal: 0x1D600
Base64: AdYA
One's complement: 4,294,846,975 (32-bit)
Scientific notation: 1.2032 × 10⁵
As a duration: 120,320 s = 1 day, 9 hours, 25 minutes, 20 seconds

In other bases

ternary (3) 20010001022

quaternary (4) 131120000

quinary (5) 12322240

senary (6) 2325012

septenary (7) 1010534

nonary (9) 203038

undecimal (11) 82442

duodecimal (12) 59768

tridecimal (13) 429c5

tetradecimal (14) 31bc4

pentadecimal (15) 259b5

As an angle

120,320° = 334 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵ρκτκʹ
Mayan (base 20): 𝋯·𝋠·𝋰·𝋠
Chinese: 一十二萬零三百二十
Chinese (financial): 壹拾貳萬零參佰貳拾

In other modern scripts

Eastern Arabic ١٢٠٣٢٠ Devanagari १२०३२० Bengali ১২০৩২০ Tamil ௧௨௦௩௨௦ Thai ๑๒๐๓๒๐ Tibetan ༡༢༠༣༢༠ Khmer ១២០៣២០ Lao ໑໒໐໓໒໐ Burmese ၁၂၀၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120320, here are decompositions:

37 + 120283 = 120320
43 + 120277 = 120320
73 + 120247 = 120320
97 + 120223 = 120320
127 + 120193 = 120320
139 + 120181 = 120320
157 + 120163 = 120320
163 + 120157 = 120320

Showing the first eight; more decompositions exist.

Unicode codepoint

𝘀

Mathematical Sans-Serif Bold Small S

U+1D600

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 98 80 (4 bytes).

Lookup U+1D600 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D600

RGB(1, 214, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.0.

Address: 0.1.214.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.0

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 120,320 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 US120,320 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120320 first appears in π at position 561,657 of the decimal expansion (the 561,657ordinal-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 120320 on Pi Search ↗