Live analysis

120,690

120,690 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.).

120,690 (one hundred twenty thousand six hundred ninety) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2 × 3⁴ × 5 × 149. Its proper divisors sum to 206,010, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D772.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

120,678 120,679 120,680 120,681 120,682 120,683 120,684 120,685 120,686 120,687 120,688 120,689 120,690 120,691 120,692 120,693 120,694 120,695 120,696 120,697 120,698 120,699 120,700 120,701 120,702

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 96,021
Square (n²): 14,566,076,100
Cube (n³): 1,757,979,724,509,000
Divisor count: 40
σ(n) — sum of divisors: 326,700
φ(n) — Euler's totient: 31,968
Sum of prime factors: 168

Primality

Prime factorization: 2 × 3 ⁴ × 5 × 149

Nearest primes: 120,689 (−1) · 120,691 (+1)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 27 · 30 · 45 · 54 · 81 · 90 · 135 · 149 · 162 · 270 · 298 · 405 · 447 · 745 · 810 · 894 · 1341 · 1490 · 2235 · 2682 · 4023 · 4470 · 6705 · 8046 · 12069 · 13410 · 20115 · 24138 · 40230 · 60345 (half) · 120690

Aliquot sum (sum of proper divisors): 206,010

Factor pairs (a × b = 120,690)

1 × 120690

2 × 60345

3 × 40230

5 × 24138

6 × 20115

9 × 13410

10 × 12069

15 × 8046

18 × 6705

27 × 4470

30 × 4023

45 × 2682

54 × 2235

81 × 1490

90 × 1341

135 × 894

149 × 810

162 × 745

270 × 447

298 × 405

First multiples

120,690 · 241,380 (double) · 362,070 · 482,760 · 603,450 · 724,140 · 844,830 · 965,520 · 1,086,210 · 1,206,900

Sums & aliquot sequence

As a sum of two squares: 99² + 333² = 207² + 279²

As consecutive integers: 40,229 + 40,230 + 40,231 30,171 + 30,172 + 30,173 + 30,174 24,136 + 24,137 + 24,138 + 24,139 + 24,140 13,406 + 13,407 + … + 13,414

Aliquot sequence: 120,690 → 206,010 → 427,590 → 684,378 → 813,690 → 1,302,138 → 1,519,200 → 3,863,268 → 6,152,892 → 8,203,884 → 12,907,668 → 18,308,972 → 17,891,836 → 14,429,124 → 26,697,276 → 49,776,660 → 105,085,740 — unresolved within range

Continued fraction of √n

√120,690 = [347; (2, 2, 8, 5, 1, 1, 1, 1, 1, 7, 1, 21, 1, 1, 8, 14, 1, 76, 3, 1, 2, 1, 7, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand six hundred ninety
Ordinal: 120690th
Binary: 11101011101110010
Octal: 353562
Hexadecimal: 0x1D772
Base64: Addy
One's complement: 4,294,846,605 (32-bit)
Scientific notation: 1.2069 × 10⁵
As a duration: 120,690 s = 1 day, 9 hours, 31 minutes, 30 seconds

In other bases

ternary (3) 20010120000

quaternary (4) 131131302

quinary (5) 12330230

senary (6) 2330430

septenary (7) 1011603

nonary (9) 203500

undecimal (11) 82749

duodecimal (12) 59a16

tridecimal (13) 42c1b

tetradecimal (14) 31daa

pentadecimal (15) 25b60

As an angle

120,690° = 335 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρκχϟʹ
Mayan (base 20): 𝋯·𝋡·𝋮·𝋪
Chinese: 一十二萬零六百九十
Chinese (financial): 壹拾貳萬零陸佰玖拾

In other modern scripts

Eastern Arabic ١٢٠٦٩٠ Devanagari १२०६९० Bengali ১২০৬৯০ Tamil ௧௨௦௬௯௦ Thai ๑๒๐๖๙๐ Tibetan ༡༢༠༦༩༠ Khmer ១២០៦៩០ Lao ໑໒໐໖໙໐ Burmese ၁၂၀၆၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120690, here are decompositions:

13 + 120677 = 120690
19 + 120671 = 120690
29 + 120661 = 120690
43 + 120647 = 120690
67 + 120623 = 120690
71 + 120619 = 120690
83 + 120607 = 120690
103 + 120587 = 120690

Showing the first eight; more decompositions exist.

Unicode codepoint

𝝲

Mathematical Sans-Serif Bold Small Gamma

U+1D772

Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9D B2 (4 bytes).

Lookup U+1D772 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D772

RGB(1, 215, 114)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.114.

Address: 0.1.215.114
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.215.114

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 120,690 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 US120,690 on Google Patents ↗ Look up on USPTO ↗