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120,564

120,564 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.).

120,564 (one hundred twenty thousand five hundred sixty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 17 × 197. Its proper divisors sum to 203,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D6F4.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
465,021
Square (n²)
14,535,678,096
Cube (n³)
1,752,479,493,966,144
Divisor count
36
σ(n) — sum of divisors
324,324
φ(n) — Euler's totient
37,632
Sum of prime factors
224

Primality

Prime factorization: 2 2 × 3 2 × 17 × 197

Nearest primes: 120,563 (−1) · 120,569 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 17 · 18 · 34 · 36 · 51 · 68 · 102 · 153 · 197 · 204 · 306 · 394 · 591 · 612 · 788 · 1182 · 1773 · 2364 · 3349 · 3546 · 6698 · 7092 · 10047 · 13396 · 20094 · 30141 · 40188 · 60282 (half) · 120564
Aliquot sum (sum of proper divisors): 203,760
Factor pairs (a × b = 120,564)
1 × 120564
2 × 60282
3 × 40188
4 × 30141
6 × 20094
9 × 13396
12 × 10047
17 × 7092
18 × 6698
34 × 3546
36 × 3349
51 × 2364
68 × 1773
102 × 1182
153 × 788
197 × 612
204 × 591
306 × 394
First multiples
120,564 · 241,128 (double) · 361,692 · 482,256 · 602,820 · 723,384 · 843,948 · 964,512 · 1,085,076 · 1,205,640

Sums & aliquot sequence

As a sum of two squares: 60² + 342² = 108² + 330²
As consecutive integers: 40,187 + 40,188 + 40,189 15,067 + 15,068 + … + 15,074 13,392 + 13,393 + … + 13,400 7,084 + 7,085 + … + 7,100
Aliquot sequence: 120,564 203,760 482,952 724,488 1,086,792 2,018,808 3,948,192 7,280,298 8,493,720 17,689,800 37,150,440 80,863,320 165,169,320 351,934,680 765,981,960 1,652,915,640 3,638,853,960 — unresolved within range

Continued fraction of √n

√120,564 = [347; (4, 2, 11, 3, 14, 2, 4, 1, 1, 1, 18, 1, 1, 1, 4, 2, 14, 3, 11, 2, 4, 694)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand five hundred sixty-four
Ordinal
120564th
Binary
11101011011110100
Octal
353364
Hexadecimal
0x1D6F4
Base64
Adb0
One's complement
4,294,846,731 (32-bit)
Scientific notation
1.20564 × 10⁵
As a duration
120,564 s = 1 day, 9 hours, 29 minutes, 24 seconds
In other bases
ternary (3) 20010101100
quaternary (4) 131123310
quinary (5) 12324224
senary (6) 2330100
septenary (7) 1011333
nonary (9) 203340
undecimal (11) 82644
duodecimal (12) 59930
tridecimal (13) 42b52
tetradecimal (14) 31d1a
pentadecimal (15) 25ac9

As an angle

120,564° = 334 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκφξδʹ
Mayan (base 20)
𝋯·𝋡·𝋨·𝋤
Chinese
一十二萬零五百六十四
Chinese (financial)
壹拾貳萬零伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٠٥٦٤ Devanagari १२०५६४ Bengali ১২০৫৬৪ Tamil ௧௨௦௫௬௪ Thai ๑๒๐๕๖๔ Tibetan ༡༢༠༥༦༤ Khmer ១២០៥៦៤ Lao ໑໒໐໕໖໔ Burmese ၁၂၀၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120564, here are decompositions:

  • 7 + 120557 = 120564
  • 13 + 120551 = 120564
  • 53 + 120511 = 120564
  • 61 + 120503 = 120564
  • 137 + 120427 = 120564
  • 151 + 120413 = 120564
  • 163 + 120401 = 120564
  • 167 + 120397 = 120564

Showing the first eight; more decompositions exist.

Unicode codepoint
𝛴
Mathematical Italic Capital Sigma
U+1D6F4
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9B B4 (4 bytes).

Hex color
#01D6F4
RGB(1, 214, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.244.

Address
0.1.214.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.244

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 120,564 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 120564 first appears in π at position 652,188 of the decimal expansion (the 652,188ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.