Live analysis

120,990

120,990 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.).

120,990 (one hundred twenty thousand nine hundred ninety) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 37 × 109. Its proper divisors sum to 179,970, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D89E.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,978 120,979 120,980 120,981 120,982 120,983 120,984 120,985 120,986 120,987 120,988 120,989 120,990 120,991 120,992 120,993 120,994 120,995 120,996 120,997 120,998 120,999 121,000 121,001 121,002

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 99,021
Square (n²): 14,638,580,100
Cube (n³): 1,771,121,806,299,000
Divisor count: 32
σ(n) — sum of divisors: 300,960
φ(n) — Euler's totient: 31,104
Sum of prime factors: 156

Primality

Prime factorization: 2 × 3 × 5 × 37 × 109

Nearest primes: 120,977 (−13) · 120,997 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 37 · 74 · 109 · 111 · 185 · 218 · 222 · 327 · 370 · 545 · 555 · 654 · 1090 · 1110 · 1635 · 3270 · 4033 · 8066 · 12099 · 20165 · 24198 · 40330 · 60495 (half) · 120990

Aliquot sum (sum of proper divisors): 179,970

Factor pairs (a × b = 120,990)

1 × 120990

2 × 60495

3 × 40330

5 × 24198

6 × 20165

10 × 12099

15 × 8066

30 × 4033

37 × 3270

74 × 1635

109 × 1110

111 × 1090

185 × 654

218 × 555

222 × 545

327 × 370

First multiples

120,990 · 241,980 (double) · 362,970 · 483,960 · 604,950 · 725,940 · 846,930 · 967,920 · 1,088,910 · 1,209,900

Sums & aliquot sequence

As consecutive integers: 40,329 + 40,330 + 40,331 30,246 + 30,247 + 30,248 + 30,249 24,196 + 24,197 + 24,198 + 24,199 + 24,200 10,077 + 10,078 + … + 10,088

Aliquot sequence: 120,990 → 179,970 → 314,238 → 322,818 → 328,638 → 328,650 → 605,814 → 745,482 → 745,494 → 745,506 → 892,494 → 1,059,066 → 1,371,258 → 2,024,550 → 3,923,730 → 6,278,202 → 10,621,638 — unresolved within range

Continued fraction of √n

√120,990 = [347; (1, 5, 9, 1, 1, 1, 2, 2, 32, 1, 2, 2, 2, 5, 2, 1, 26, 14, 6, 3, 1, 19, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand nine hundred ninety
Ordinal: 120990th
Binary: 11101100010011110
Octal: 354236
Hexadecimal: 0x1D89E
Base64: Adie
One's complement: 4,294,846,305 (32-bit)
Scientific notation: 1.2099 × 10⁵
As a duration: 120,990 s = 1 day, 9 hours, 36 minutes, 30 seconds

In other bases

ternary (3) 20010222010

quaternary (4) 131202132

quinary (5) 12332430

senary (6) 2332050

septenary (7) 1012512

nonary (9) 203863

undecimal (11) 829a1

duodecimal (12) 5a026

tridecimal (13) 430bc

tetradecimal (14) 32142

pentadecimal (15) 25cb0

As an angle

120,990° = 336 × 360° + 30°

30° ≈ 0.524 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρκϡϟʹ
Mayan (base 20): 𝋯·𝋢·𝋩·𝋪
Chinese: 一十二萬零九百九十
Chinese (financial): 壹拾貳萬零玖佰玖拾

In other modern scripts

Eastern Arabic ١٢٠٩٩٠ Devanagari १२०९९० Bengali ১২০৯৯০ Tamil ௧௨௦௯௯௦ Thai ๑๒๐๙๙๐ Tibetan ༡༢༠༩༩༠ Khmer ១២០៩៩០ Lao ໑໒໐໙໙໐ Burmese ၁၂၀၉၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120990, here are decompositions:

13 + 120977 = 120990
43 + 120947 = 120990
47 + 120943 = 120990
53 + 120937 = 120990
61 + 120929 = 120990
71 + 120919 = 120990
73 + 120917 = 120990
83 + 120907 = 120990

Showing the first eight; more decompositions exist.

Unicode codepoint

𝢞

Signwriting Hand-Angle Little Index Thumb Index Thumb Out

U+1D89E

Other symbol (So)

UTF-8 encoding: F0 9D A2 9E (4 bytes).

Lookup U+1D89E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D89E

RGB(1, 216, 158)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.158.

Address: 0.1.216.158
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.216.158

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 120,990 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 US120,990 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120990 first appears in π at position 27,397 of the decimal expansion (the 27,397ordinal-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 120990 on Pi Search ↗