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120,716

120,716 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.).

120,716 (one hundred twenty thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 103 × 293. Written other ways, in hexadecimal, 0x1D78C.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
617,021
Square (n²)
14,572,352,656
Cube (n³)
1,759,116,123,221,696
Divisor count
12
σ(n) — sum of divisors
214,032
φ(n) — Euler's totient
59,568
Sum of prime factors
400

Primality

Prime factorization: 2 2 × 103 × 293

Nearest primes: 120,713 (−3) · 120,721 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 103 · 206 · 293 · 412 · 586 · 1172 · 30179 · 60358 (half) · 120716
Aliquot sum (sum of proper divisors): 93,316
Factor pairs (a × b = 120,716)
1 × 120716
2 × 60358
4 × 30179
103 × 1172
206 × 586
293 × 412
First multiples
120,716 · 241,432 (double) · 362,148 · 482,864 · 603,580 · 724,296 · 845,012 · 965,728 · 1,086,444 · 1,207,160

Sums & aliquot sequence

As consecutive integers: 15,086 + 15,087 + … + 15,093 1,121 + 1,122 + … + 1,223 266 + 267 + … + 558
Aliquot sequence: 120,716 93,316 74,264 64,996 48,754 28,286 14,146 9,038 4,522 4,118 2,362 1,184 1,210 1,184 — enters a cycle

Continued fraction of √n

√120,716 = [347; (2, 3, 1, 4, 2, 4, 4, 1, 2, 1, 4, 1, 6, 2, 21, 1, 18, 1, 8, 1, 5, 6, 1, 172, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand seven hundred sixteen
Ordinal
120716th
Binary
11101011110001100
Octal
353614
Hexadecimal
0x1D78C
Base64
AdeM
One's complement
4,294,846,579 (32-bit)
Scientific notation
1.20716 × 10⁵
As a duration
120,716 s = 1 day, 9 hours, 31 minutes, 56 seconds
In other bases
ternary (3) 20010120222
quaternary (4) 131132030
quinary (5) 12330331
senary (6) 2330512
septenary (7) 1011641
nonary (9) 203528
undecimal (11) 82772
duodecimal (12) 59a38
tridecimal (13) 42c3b
tetradecimal (14) 31dc8
pentadecimal (15) 25b7b

As an angle

120,716° = 335 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψιϛʹ
Mayan (base 20)
𝋯·𝋡·𝋯·𝋰
Chinese
一十二萬零七百一十六
Chinese (financial)
壹拾貳萬零柒佰壹拾陸
In other modern scripts
Eastern Arabic ١٢٠٧١٦ Devanagari १२०७१६ Bengali ১২০৭১৬ Tamil ௧௨௦௭௧௬ Thai ๑๒๐๗๑๖ Tibetan ༡༢༠༧༡༦ Khmer ១២០៧១៦ Lao ໑໒໐໗໑໖ Burmese ၁၂၀၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120716, here are decompositions:

  • 3 + 120713 = 120716
  • 7 + 120709 = 120716
  • 97 + 120619 = 120716
  • 109 + 120607 = 120716
  • 139 + 120577 = 120716
  • 367 + 120349 = 120716
  • 397 + 120319 = 120716
  • 433 + 120283 = 120716

Showing the first eight; more decompositions exist.

Unicode codepoint
𝞌
Mathematical Sans-Serif Bold Kappa Symbol
U+1D78C
Lowercase letter (Ll)

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

Hex color
#01D78C
RGB(1, 215, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.140.

Address
0.1.215.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.140

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 120,716 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 120716 first appears in π at position 844,139 of the decimal expansion (the 844,139ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.