Live analysis

120,672

120,672 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.).

120,672 (one hundred twenty thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3² × 419. Its proper divisors sum to 223,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D760.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

120,660 120,661 120,662 120,663 120,664 120,665 120,666 120,667 120,668 120,669 120,670 120,671 120,672 120,673 120,674 120,675 120,676 120,677 120,678 120,679 120,680 120,681 120,682 120,683 120,684

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 276,021
Square (n²): 14,561,731,584
Cube (n³): 1,757,193,273,704,448
Divisor count: 36
σ(n) — sum of divisors: 343,980
φ(n) — Euler's totient: 40,128
Sum of prime factors: 435

Primality

Prime factorization: 2 ⁵ × 3 ² × 419

Nearest primes: 120,671 (−1) · 120,677 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 72 · 96 · 144 · 288 · 419 · 838 · 1257 · 1676 · 2514 · 3352 · 3771 · 5028 · 6704 · 7542 · 10056 · 13408 · 15084 · 20112 · 30168 · 40224 · 60336 (half) · 120672

Aliquot sum (sum of proper divisors): 223,308

Factor pairs (a × b = 120,672)

1 × 120672

2 × 60336

3 × 40224

4 × 30168

6 × 20112

8 × 15084

9 × 13408

12 × 10056

16 × 7542

18 × 6704

24 × 5028

32 × 3771

36 × 3352

48 × 2514

72 × 1676

96 × 1257

144 × 838

288 × 419

First multiples

120,672 · 241,344 (double) · 362,016 · 482,688 · 603,360 · 724,032 · 844,704 · 965,376 · 1,086,048 · 1,206,720

Sums & aliquot sequence

As consecutive integers: 40,223 + 40,224 + 40,225 13,404 + 13,405 + … + 13,412 1,854 + 1,855 + … + 1,917 533 + 534 + … + 724

Aliquot sequence: 120,672 → 223,308 → 341,256 → 529,944 → 817,896 → 1,268,664 → 1,903,056 → 3,138,288 → 4,969,080 → 12,138,120 → 28,325,880 → 76,805,640 → 172,813,860 → 351,388,728 → 618,255,792 → 1,630,329,456 → 3,183,025,168 — unresolved within range

Continued fraction of √n

√120,672 = [347; (2, 1, 1, 1, 3, 1, 1, 6, 1, 1, 1, 1, 21, 9, 2, 8, 9, 1, 2, 173, 2, 1, 9, 8, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand six hundred seventy-two
Ordinal: 120672nd
Binary: 11101011101100000
Octal: 353540
Hexadecimal: 0x1D760
Base64: Addg
One's complement: 4,294,846,623 (32-bit)
Scientific notation: 1.20672 × 10⁵
As a duration: 120,672 s = 1 day, 9 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 20010112100

quaternary (4) 131131200

quinary (5) 12330142

senary (6) 2330400

septenary (7) 1011546

nonary (9) 203470

undecimal (11) 82732

duodecimal (12) 59a00

tridecimal (13) 42c06

tetradecimal (14) 31d96

pentadecimal (15) 25b4c

As an angle

120,672° = 335 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρκχοβʹ
Mayan (base 20): 𝋯·𝋡·𝋭·𝋬
Chinese: 一十二萬零六百七十二
Chinese (financial): 壹拾貳萬零陸佰柒拾貳

In other modern scripts

Eastern Arabic ١٢٠٦٧٢ Devanagari १२०६७२ Bengali ১২০৬৭২ Tamil ௧௨௦௬௭௨ Thai ๑๒๐๖๗๒ Tibetan ༡༢༠༦༧༢ Khmer ១២០៦៧២ Lao ໑໒໐໖໗໒ Burmese ၁၂၀၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120672, here are decompositions:

11 + 120661 = 120672
31 + 120641 = 120672
53 + 120619 = 120672
103 + 120569 = 120672
109 + 120563 = 120672
199 + 120473 = 120672
241 + 120431 = 120672
271 + 120401 = 120672

Showing the first eight; more decompositions exist.

Unicode codepoint

𝝠

Mathematical Sans-Serif Bold Capital Lamda

U+1D760

Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9D A0 (4 bytes).

Lookup U+1D760 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D760

RGB(1, 215, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.96.

Address: 0.1.215.96
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.215.96

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 120,672 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 US120,672 on Google Patents ↗ Look up on USPTO ↗