Live analysis

120,390

120,390 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.).

120,390 (one hundred twenty thousand three hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,013. Its proper divisors sum to 168,618, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D646.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,378 120,379 120,380 120,381 120,382 120,383 120,384 120,385 120,386 120,387 120,388 120,389 120,390 120,391 120,392 120,393 120,394 120,395 120,396 120,397 120,398 120,399 120,400 120,401 120,402

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 93,021
Square (n²): 14,493,752,100
Cube (n³): 1,744,902,815,319,000
Divisor count: 16
σ(n) — sum of divisors: 289,008
φ(n) — Euler's totient: 32,096
Sum of prime factors: 4,023

Primality

Prime factorization: 2 × 3 × 5 × 4013

Nearest primes: 120,383 (−7) · 120,391 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4013 · 8026 · 12039 · 20065 · 24078 · 40130 · 60195 (half) · 120390

Aliquot sum (sum of proper divisors): 168,618

Factor pairs (a × b = 120,390)

1 × 120390

2 × 60195

3 × 40130

5 × 24078

6 × 20065

10 × 12039

15 × 8026

30 × 4013

First multiples

120,390 · 240,780 (double) · 361,170 · 481,560 · 601,950 · 722,340 · 842,730 · 963,120 · 1,083,510 · 1,203,900

Sums & aliquot sequence

As consecutive integers: 40,129 + 40,130 + 40,131 30,096 + 30,097 + 30,098 + 30,099 24,076 + 24,077 + 24,078 + 24,079 + 24,080 10,027 + 10,028 + … + 10,038

Aliquot sequence: 120,390 → 168,618 → 172,662 → 222,090 → 360,246 → 360,258 → 368,862 → 425,778 → 455,502 → 466,818 → 561,006 → 696,426 → 815,574 → 815,586 → 826,782 → 977,250 → 1,463,838 — unresolved within range

Continued fraction of √n

√120,390 = [346; (1, 35, 1, 1, 9, 1, 1, 4, 2, 7, 5, 1, 2, 3, 3, 2, 1, 68, 1, 2, 3, 3, 2, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand three hundred ninety
Ordinal: 120390th
Binary: 11101011001000110
Octal: 353106
Hexadecimal: 0x1D646
Base64: AdZG
One's complement: 4,294,846,905 (32-bit)
Scientific notation: 1.2039 × 10⁵
As a duration: 120,390 s = 1 day, 9 hours, 26 minutes, 30 seconds

In other bases

ternary (3) 20010010220

quaternary (4) 131121012

quinary (5) 12323030

senary (6) 2325210

septenary (7) 1010664

nonary (9) 203126

undecimal (11) 824a6

duodecimal (12) 59806

tridecimal (13) 42a4a

tetradecimal (14) 31c34

pentadecimal (15) 25a10

As an angle

120,390° = 334 × 360° + 150°

150° ≈ 2.618 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρκτϟʹ
Mayan (base 20): 𝋯·𝋠·𝋳·𝋪
Chinese: 一十二萬零三百九十
Chinese (financial): 壹拾貳萬零參佰玖拾

In other modern scripts

Eastern Arabic ١٢٠٣٩٠ Devanagari १२०३९० Bengali ১২০৩৯০ Tamil ௧௨௦௩௯௦ Thai ๑๒๐๓๙๐ Tibetan ༡༢༠༣༩༠ Khmer ១២០៣៩០ Lao ໑໒໐໓໙໐ Burmese ၁၂၀၃၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120390, here are decompositions:

7 + 120383 = 120390
19 + 120371 = 120390
41 + 120349 = 120390
59 + 120331 = 120390
71 + 120319 = 120390
97 + 120293 = 120390
107 + 120283 = 120390
113 + 120277 = 120390

Showing the first eight; more decompositions exist.

Unicode codepoint

𝙆

Mathematical Sans-Serif Bold Italic Capital K

U+1D646

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 86 (4 bytes).

Lookup U+1D646 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D646

RGB(1, 214, 70)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.70.

Address: 0.1.214.70
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.214.70

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 120,390 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 US120,390 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120390 first appears in π at position 688,930 of the decimal expansion (the 688,930ordinal-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 120390 on Pi Search ↗