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120,788

120,788 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.).

120,788 (one hundred twenty thousand seven hundred eighty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 30,197. Written other ways, in hexadecimal, 0x1D7D4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
887,021
Square (n²)
14,589,740,944
Cube (n³)
1,762,265,629,143,872
Divisor count
6
σ(n) — sum of divisors
211,386
φ(n) — Euler's totient
60,392
Sum of prime factors
30,201

Primality

Prime factorization: 2 2 × 30197

Nearest primes: 120,779 (−9) · 120,811 (+23)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 30197 · 60394 (half) · 120788
Aliquot sum (sum of proper divisors): 90,598
Factor pairs (a × b = 120,788)
1 × 120788
2 × 60394
4 × 30197
First multiples
120,788 · 241,576 (double) · 362,364 · 483,152 · 603,940 · 724,728 · 845,516 · 966,304 · 1,087,092 · 1,207,880

Sums & aliquot sequence

As a sum of two squares: 172² + 302²
As consecutive integers: 15,095 + 15,096 + … + 15,102
Aliquot sequence: 120,788 90,598 46,994 23,500 28,916 21,694 10,850 12,958 10,082 5,257 759 393 135 105 87 33 15 — unresolved within range

Continued fraction of √n

√120,788 = [347; (1, 1, 4, 1, 35, 1, 3, 3, 1, 3, 3, 1, 1, 1, 1, 1, 1, 2, 11, 2, 1, 1, 42, 1, …)]

Representations

In words
one hundred twenty thousand seven hundred eighty-eight
Ordinal
120788th
Binary
11101011111010100
Octal
353724
Hexadecimal
0x1D7D4
Base64
AdfU
One's complement
4,294,846,507 (32-bit)
Scientific notation
1.20788 × 10⁵
As a duration
120,788 s = 1 day, 9 hours, 33 minutes, 8 seconds
In other bases
ternary (3) 20010200122
quaternary (4) 131133110
quinary (5) 12331123
senary (6) 2331112
septenary (7) 1012103
nonary (9) 203618
undecimal (11) 82828
duodecimal (12) 59a98
tridecimal (13) 42c95
tetradecimal (14) 3203a
pentadecimal (15) 25bc8
Palindromic in base 11

As an angle

120,788° = 335 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκψπηʹ
Mayan (base 20)
𝋯·𝋡·𝋳·𝋨
Chinese
一十二萬零七百八十八
Chinese (financial)
壹拾貳萬零柒佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٠٧٨٨ Devanagari १२०७८८ Bengali ১২০৭৮৮ Tamil ௧௨௦௭௮௮ Thai ๑๒๐๗๘๘ Tibetan ༡༢༠༧༨༨ Khmer ១២០៧៨៨ Lao ໑໒໐໗໘໘ Burmese ၁၂၀၇၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120788, here are decompositions:

  • 67 + 120721 = 120788
  • 79 + 120709 = 120788
  • 97 + 120691 = 120788
  • 127 + 120661 = 120788
  • 181 + 120607 = 120788
  • 211 + 120577 = 120788
  • 277 + 120511 = 120788
  • 397 + 120391 = 120788

Showing the first eight; more decompositions exist.

Unicode codepoint
𝟔
Mathematical Bold Digit Six
U+1D7D4
Decimal digit (Nd)

UTF-8 encoding: F0 9D 9F 94 (4 bytes).

Hex color
#01D7D4
RGB(1, 215, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.212.

Address
0.1.215.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.212

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 120,788 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 120788 first appears in π at position 723,454 of the decimal expansion (the 723,454ordinal-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.