Live analysis

120,640

120,640 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.).

120,640 (one hundred twenty thousand six hundred forty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5 × 13 × 29. Its proper divisors sum to 199,400, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D740.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

120,628 120,629 120,630 120,631 120,632 120,633 120,634 120,635 120,636 120,637 120,638 120,639 120,640 120,641 120,642 120,643 120,644 120,645 120,646 120,647 120,648 120,649 120,650 120,651 120,652

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 46,021
Square (n²): 14,554,009,600
Cube (n³): 1,755,795,718,144,000
Divisor count: 56
σ(n) — sum of divisors: 320,040
φ(n) — Euler's totient: 43,008
Sum of prime factors: 59

Primality

Prime factorization: 2 ⁶ × 5 × 13 × 29

Nearest primes: 120,623 (−17) · 120,641 (+1)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 26 · 29 · 32 · 40 · 52 · 58 · 64 · 65 · 80 · 104 · 116 · 130 · 145 · 160 · 208 · 232 · 260 · 290 · 320 · 377 · 416 · 464 · 520 · 580 · 754 · 832 · 928 · 1040 · 1160 · 1508 · 1856 · 1885 · 2080 · 2320 · 3016 · 3770 · 4160 · 4640 · 6032 · 7540 · 9280 · 12064 · 15080 · 24128 · 30160 · 60320 (half) · 120640

Aliquot sum (sum of proper divisors): 199,400

Factor pairs (a × b = 120,640)

1 × 120640

2 × 60320

4 × 30160

5 × 24128

8 × 15080

10 × 12064

13 × 9280

16 × 7540

20 × 6032

26 × 4640

29 × 4160

32 × 3770

40 × 3016

52 × 2320

58 × 2080

64 × 1885

65 × 1856

80 × 1508

104 × 1160

116 × 1040

130 × 928

145 × 832

160 × 754

208 × 580

232 × 520

260 × 464

290 × 416

320 × 377

First multiples

120,640 · 241,280 (double) · 361,920 · 482,560 · 603,200 · 723,840 · 844,480 · 965,120 · 1,085,760 · 1,206,400

Sums & aliquot sequence

As a sum of two squares: 48² + 344² = 88² + 336² = 168² + 304² = 216² + 272²

As consecutive integers: 24,126 + 24,127 + 24,128 + 24,129 + 24,130 9,274 + 9,275 + … + 9,286 4,146 + 4,147 + … + 4,174 1,824 + 1,825 + … + 1,888

Aliquot sequence: 120,640 → 199,400 → 264,670 → 311,330 → 255,454 → 127,730 → 107,494 → 56,234 → 30,934 → 15,470 → 20,818 → 14,894 → 9,514 → 5,174 → 3,226 → 1,616 → 1,546 — unresolved within range

Continued fraction of √n

√120,640 = [347; (3, 173, 3, 694)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one hundred twenty thousand six hundred forty
Ordinal: 120640th
Binary: 11101011101000000
Octal: 353500
Hexadecimal: 0x1D740
Base64: AddA
One's complement: 4,294,846,655 (32-bit)
Scientific notation: 1.2064 × 10⁵
As a duration: 120,640 s = 1 day, 9 hours, 30 minutes, 40 seconds

In other bases

ternary (3) 20010111011

quaternary (4) 131131000

quinary (5) 12330030

senary (6) 2330304

septenary (7) 1011502

nonary (9) 203434

undecimal (11) 82703

duodecimal (12) 59994

tridecimal (13) 42bb0

tetradecimal (14) 31d72

pentadecimal (15) 25b2a

As an angle

120,640° = 335 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρκχμʹ
Mayan (base 20): 𝋯·𝋡·𝋬·𝋠
Chinese: 一十二萬零六百四十
Chinese (financial): 壹拾貳萬零陸佰肆拾

In other modern scripts

Eastern Arabic ١٢٠٦٤٠ Devanagari १२०६४० Bengali ১২০৬৪০ Tamil ௧௨௦௬௪௦ Thai ๑๒๐๖๔๐ Tibetan ༡༢༠༦༤༠ Khmer ១២០៦៤០ Lao ໑໒໐໖໔໐ Burmese ၁၂၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120640, here are decompositions:

17 + 120623 = 120640
53 + 120587 = 120640
71 + 120569 = 120640
83 + 120557 = 120640
89 + 120551 = 120640
101 + 120539 = 120640
137 + 120503 = 120640
167 + 120473 = 120640

Showing the first eight; more decompositions exist.

Unicode codepoint

𝝀

Mathematical Bold Italic Small Lamda

U+1D740

Lowercase letter (Ll)

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

Lookup U+1D740 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01D740

RGB(1, 215, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.64.

Address: 0.1.215.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.215.64

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 120,640 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 US120,640 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 120640 first appears in π at position 773,500 of the decimal expansion (the 773,500ordinal-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 120640 on Pi Search ↗