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120,744

120,744 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.).

120,744 (one hundred twenty thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3³ × 13 × 43. Its proper divisors sum to 248,856, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7A8.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical 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
447,021
Square (n²)
14,579,113,536
Cube (n³)
1,760,340,484,790,784
Divisor count
64
σ(n) — sum of divisors
369,600
φ(n) — Euler's totient
36,288
Sum of prime factors
71

Primality

Prime factorization: 2 3 × 3 3 × 13 × 43

Nearest primes: 120,739 (−5) · 120,749 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 13 · 18 · 24 · 26 · 27 · 36 · 39 · 43 · 52 · 54 · 72 · 78 · 86 · 104 · 108 · 117 · 129 · 156 · 172 · 216 · 234 · 258 · 312 · 344 · 351 · 387 · 468 · 516 · 559 · 702 · 774 · 936 · 1032 · 1118 · 1161 · 1404 · 1548 · 1677 · 2236 · 2322 · 2808 · 3096 · 3354 · 4472 · 4644 · 5031 · 6708 · 9288 · 10062 · 13416 · 15093 · 20124 · 30186 · 40248 · 60372 (half) · 120744
Aliquot sum (sum of proper divisors): 248,856
Factor pairs (a × b = 120,744)
1 × 120744
2 × 60372
3 × 40248
4 × 30186
6 × 20124
8 × 15093
9 × 13416
12 × 10062
13 × 9288
18 × 6708
24 × 5031
26 × 4644
27 × 4472
36 × 3354
39 × 3096
43 × 2808
52 × 2322
54 × 2236
72 × 1677
78 × 1548
86 × 1404
104 × 1161
108 × 1118
117 × 1032
129 × 936
156 × 774
172 × 702
216 × 559
234 × 516
258 × 468
312 × 387
344 × 351
First multiples
120,744 · 241,488 (double) · 362,232 · 482,976 · 603,720 · 724,464 · 845,208 · 965,952 · 1,086,696 · 1,207,440

Sums & aliquot sequence

As a sum of two cubes: 36³ + 42³
As consecutive integers: 40,247 + 40,248 + 40,249 13,412 + 13,413 + … + 13,420 9,282 + 9,283 + … + 9,294 7,539 + 7,540 + … + 7,554
Aliquot sequence: 120,744 248,856 373,344 606,936 1,149,864 1,724,856 3,203,784 5,473,326 5,575,074 5,620,638 5,620,650 10,771,158 11,137,002 12,471,318 14,549,910 21,185,130 30,525,270 — unresolved within range

Continued fraction of √n

√120,744 = [347; (2, 13, 1, 2, 6, 2, 1, 13, 2, 694)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred forty-four
Ordinal
120744th
Binary
11101011110101000
Octal
353650
Hexadecimal
0x1D7A8
Base64
Adeo
One's complement
4,294,846,551 (32-bit)
Scientific notation
1.20744 × 10⁵
As a duration
120,744 s = 1 day, 9 hours, 32 minutes, 24 seconds
In other bases
ternary (3) 20010122000
quaternary (4) 131132220
quinary (5) 12330434
senary (6) 2331000
septenary (7) 1012011
nonary (9) 203560
undecimal (11) 82798
duodecimal (12) 59a60
tridecimal (13) 42c60
tetradecimal (14) 32008
pentadecimal (15) 25b99

As an angle

120,744° = 335 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψμδʹ
Mayan (base 20)
𝋯·𝋡·𝋱·𝋤
Chinese
一十二萬零七百四十四
Chinese (financial)
壹拾貳萬零柒佰肆拾肆
In other modern scripts
Eastern Arabic ١٢٠٧٤٤ Devanagari १२०७४४ Bengali ১২০৭৪৪ Tamil ௧௨௦௭௪௪ Thai ๑๒๐๗๔๔ Tibetan ༡༢༠༧༤༤ Khmer ១២០៧៤៤ Lao ໑໒໐໗໔໔ Burmese ၁၂၀၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120744, here are decompositions:

  • 5 + 120739 = 120744
  • 7 + 120737 = 120744
  • 23 + 120721 = 120744
  • 31 + 120713 = 120744
  • 53 + 120691 = 120744
  • 67 + 120677 = 120744
  • 73 + 120671 = 120744
  • 83 + 120661 = 120744

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞨
Mathematical Sans-Serif Bold Italic Capital Omega
U+1D7A8
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 9E A8 (4 bytes).

Hex color
#01D7A8
RGB(1, 215, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.168.

Address
0.1.215.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.168

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 120,744 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 120744 first appears in π at position 605,059 of the decimal expansion (the 605,059ordinal-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°.