number.wiki
Live analysis

120,736

120,736 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.).

120,736 (one hundred twenty thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7³ × 11. Its proper divisors sum to 181,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7A0.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
637,021
Square (n²)
14,577,181,696
Cube (n³)
1,759,990,609,248,256
Divisor count
48
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
47,040
Sum of prime factors
42

Primality

Prime factorization: 2 5 × 7 3 × 11

Nearest primes: 120,721 (−15) · 120,737 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 32 · 44 · 49 · 56 · 77 · 88 · 98 · 112 · 154 · 176 · 196 · 224 · 308 · 343 · 352 · 392 · 539 · 616 · 686 · 784 · 1078 · 1232 · 1372 · 1568 · 2156 · 2464 · 2744 · 3773 · 4312 · 5488 · 7546 · 8624 · 10976 · 15092 · 17248 · 30184 · 60368 (half) · 120736
Aliquot sum (sum of proper divisors): 181,664
Factor pairs (a × b = 120,736)
1 × 120736
2 × 60368
4 × 30184
7 × 17248
8 × 15092
11 × 10976
14 × 8624
16 × 7546
22 × 5488
28 × 4312
32 × 3773
44 × 2744
49 × 2464
56 × 2156
77 × 1568
88 × 1372
98 × 1232
112 × 1078
154 × 784
176 × 686
196 × 616
224 × 539
308 × 392
343 × 352
First multiples
120,736 · 241,472 (double) · 362,208 · 482,944 · 603,680 · 724,416 · 845,152 · 965,888 · 1,086,624 · 1,207,360

Sums & aliquot sequence

As consecutive integers: 17,245 + 17,246 + … + 17,251 10,971 + 10,972 + … + 10,981 2,440 + 2,441 + … + 2,488 1,855 + 1,856 + … + 1,918
Aliquot sequence: 120,736 181,664 227,584 295,680 881,664 1,869,504 4,275,264 8,656,384 11,230,736 12,690,910 10,152,746 5,090,134 3,635,834 1,826,266 1,123,898 577,210 470,606 — unresolved within range

Continued fraction of √n

√120,736 = [347; (2, 8, 12, 1, 1, 13, 1, 1, 1, 27, 7, 4, 1, 13, 2, 1, 1, 1, 7, 2, 1, 3, 4, 13, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred thirty-six
Ordinal
120736th
Binary
11101011110100000
Octal
353640
Hexadecimal
0x1D7A0
Base64
Adeg
One's complement
4,294,846,559 (32-bit)
Scientific notation
1.20736 × 10⁵
As a duration
120,736 s = 1 day, 9 hours, 32 minutes, 16 seconds
In other bases
ternary (3) 20010121201
quaternary (4) 131132200
quinary (5) 12330421
senary (6) 2330544
septenary (7) 1012000
nonary (9) 203551
undecimal (11) 82790
duodecimal (12) 59a54
tridecimal (13) 42c55
tetradecimal (14) 32000
pentadecimal (15) 25b91

As an angle

120,736° = 335 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψλϛʹ
Mayan (base 20)
𝋯·𝋡·𝋰·𝋰
Chinese
一十二萬零七百三十六
Chinese (financial)
壹拾貳萬零柒佰參拾陸
In other modern scripts
Eastern Arabic ١٢٠٧٣٦ Devanagari १२०७३६ Bengali ১২০৭৩৬ Tamil ௧௨௦௭௩௬ Thai ๑๒๐๗๓๖ Tibetan ༡༢༠༧༣༦ Khmer ១២០៧៣៦ Lao ໑໒໐໗໓໖ Burmese ၁၂၀၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120736, here are decompositions:

  • 23 + 120713 = 120736
  • 47 + 120689 = 120736
  • 59 + 120677 = 120736
  • 89 + 120647 = 120736
  • 113 + 120623 = 120736
  • 149 + 120587 = 120736
  • 167 + 120569 = 120736
  • 173 + 120563 = 120736

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞠
Mathematical Sans-Serif Bold Italic Capital Rho
U+1D7A0
Uppercase letter (Lu)

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

Hex color
#01D7A0
RGB(1, 215, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.160.

Address
0.1.215.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.160

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 120,736 and was likely granted around 1871.

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

Related reading