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120,816

120,816 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.).

120,816 (one hundred twenty thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 839. Its proper divisors sum to 217,704, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D7F0.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious 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
618,021
Square (n²)
14,596,505,856
Cube (n³)
1,763,491,451,498,496
Divisor count
30
σ(n) — sum of divisors
338,520
φ(n) — Euler's totient
40,224
Sum of prime factors
853

Primality

Prime factorization: 2 4 × 3 2 × 839

Nearest primes: 120,811 (−5) · 120,817 (+1)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 839 · 1678 · 2517 · 3356 · 5034 · 6712 · 7551 · 10068 · 13424 · 15102 · 20136 · 30204 · 40272 · 60408 (half) · 120816
Aliquot sum (sum of proper divisors): 217,704
Factor pairs (a × b = 120,816)
1 × 120816
2 × 60408
3 × 40272
4 × 30204
6 × 20136
8 × 15102
9 × 13424
12 × 10068
16 × 7551
18 × 6712
24 × 5034
36 × 3356
48 × 2517
72 × 1678
144 × 839
First multiples
120,816 · 241,632 (double) · 362,448 · 483,264 · 604,080 · 724,896 · 845,712 · 966,528 · 1,087,344 · 1,208,160

Sums & aliquot sequence

As consecutive integers: 40,271 + 40,272 + 40,273 13,420 + 13,421 + … + 13,428 3,760 + 3,761 + … + 3,791 1,211 + 1,212 + … + 1,306
Aliquot sequence: 120,816 217,704 341,016 577,944 1,060,056 1,811,124 3,421,740 7,529,172 12,548,844 28,432,404 70,916,076 152,585,748 299,522,412 565,765,284 942,942,364 1,088,011,204 1,094,893,436 — unresolved within range

Continued fraction of √n

√120,816 = [347; (1, 1, 2, 2, 2, 4, 2, 2, 2, 1, 1, 694)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand eight hundred sixteen
Ordinal
120816th
Binary
11101011111110000
Octal
353760
Hexadecimal
0x1D7F0
Base64
Adfw
One's complement
4,294,846,479 (32-bit)
Scientific notation
1.20816 × 10⁵
As a duration
120,816 s = 1 day, 9 hours, 33 minutes, 36 seconds
In other bases
ternary (3) 20010201200
quaternary (4) 131133300
quinary (5) 12331231
senary (6) 2331200
septenary (7) 1012143
nonary (9) 203650
undecimal (11) 82853
duodecimal (12) 59b00
tridecimal (13) 42cb7
tetradecimal (14) 3205a
pentadecimal (15) 25be6

As an angle

120,816° = 335 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκωιϛʹ
Mayan (base 20)
𝋯·𝋢·𝋠·𝋰
Chinese
一十二萬零八百一十六
Chinese (financial)
壹拾貳萬零捌佰壹拾陸
In other modern scripts
Eastern Arabic ١٢٠٨١٦ Devanagari १२०८१६ Bengali ১২০৮১৬ Tamil ௧௨௦௮௧௬ Thai ๑๒๐๘๑๖ Tibetan ༡༢༠༨༡༦ Khmer ១២០៨១៦ Lao ໑໒໐໘໑໖ Burmese ၁၂၀၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120816, here are decompositions:

  • 5 + 120811 = 120816
  • 37 + 120779 = 120816
  • 53 + 120763 = 120816
  • 67 + 120749 = 120816
  • 79 + 120737 = 120816
  • 103 + 120713 = 120816
  • 107 + 120709 = 120816
  • 127 + 120689 = 120816

Showing the first eight; more decompositions exist.

Unicode codepoint
𝟰
Mathematical Sans-Serif Bold Digit Four
U+1D7F0
Decimal digit (Nd)

UTF-8 encoding: F0 9D 9F B0 (4 bytes).

Hex color
#01D7F0
RGB(1, 215, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.240.

Address
0.1.215.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.240

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 120,816 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 120816 first appears in π at position 657,389 of the decimal expansion (the 657,389ordinal-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°.