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120,696

120,696 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.).

120,696 (one hundred twenty thousand six hundred ninety-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 47 × 107. Its proper divisors sum to 190,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D778.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
696,021
Square (n²)
14,567,524,416
Cube (n³)
1,758,241,926,913,536
Divisor count
32
σ(n) — sum of divisors
311,040
φ(n) — Euler's totient
39,008
Sum of prime factors
163

Primality

Prime factorization: 2 3 × 3 × 47 × 107

Nearest primes: 120,691 (−5) · 120,709 (+13)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 47 · 94 · 107 · 141 · 188 · 214 · 282 · 321 · 376 · 428 · 564 · 642 · 856 · 1128 · 1284 · 2568 · 5029 · 10058 · 15087 · 20116 · 30174 · 40232 · 60348 (half) · 120696
Aliquot sum (sum of proper divisors): 190,344
Factor pairs (a × b = 120,696)
1 × 120696
2 × 60348
3 × 40232
4 × 30174
6 × 20116
8 × 15087
12 × 10058
24 × 5029
47 × 2568
94 × 1284
107 × 1128
141 × 856
188 × 642
214 × 564
282 × 428
321 × 376
First multiples
120,696 · 241,392 (double) · 362,088 · 482,784 · 603,480 · 724,176 · 844,872 · 965,568 · 1,086,264 · 1,206,960

Sums & aliquot sequence

As consecutive integers: 40,231 + 40,232 + 40,233 7,536 + 7,537 + … + 7,551 2,545 + 2,546 + … + 2,591 2,491 + 2,492 + … + 2,538
Aliquot sequence: 120,696 190,344 408,696 613,104 1,007,328 2,016,672 4,035,360 10,504,032 25,783,968 59,710,560 171,952,032 363,259,680 963,284,448 1,953,303,072 4,039,472,640 11,233,835,520 — keeps growing

Continued fraction of √n

√120,696 = [347; (2, 2, 2, 1, 1, 1, 1, 4, 2, 57, 2, 4, 1, 1, 1, 1, 2, 2, 2, 694)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand six hundred ninety-six
Ordinal
120696th
Binary
11101011101111000
Octal
353570
Hexadecimal
0x1D778
Base64
Add4
One's complement
4,294,846,599 (32-bit)
Scientific notation
1.20696 × 10⁵
As a duration
120,696 s = 1 day, 9 hours, 31 minutes, 36 seconds
In other bases
ternary (3) 20010120020
quaternary (4) 131131320
quinary (5) 12330241
senary (6) 2330440
septenary (7) 1011612
nonary (9) 203506
undecimal (11) 82754
duodecimal (12) 59a20
tridecimal (13) 42c24
tetradecimal (14) 31db2
pentadecimal (15) 25b66
Palindromic in base 13

As an angle

120,696° = 335 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκχϟϛʹ
Mayan (base 20)
𝋯·𝋡·𝋮·𝋰
Chinese
一十二萬零六百九十六
Chinese (financial)
壹拾貳萬零陸佰玖拾陸
In other modern scripts
Eastern Arabic ١٢٠٦٩٦ Devanagari १२०६९६ Bengali ১২০৬৯৬ Tamil ௧௨௦௬௯௬ Thai ๑๒๐๖๙๖ Tibetan ༡༢༠༦༩༦ Khmer ១២០៦៩៦ Lao ໑໒໐໖໙໖ Burmese ၁၂၀၆၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120696, here are decompositions:

  • 5 + 120691 = 120696
  • 7 + 120689 = 120696
  • 19 + 120677 = 120696
  • 73 + 120623 = 120696
  • 89 + 120607 = 120696
  • 109 + 120587 = 120696
  • 127 + 120569 = 120696
  • 139 + 120557 = 120696

Showing the first eight; more decompositions exist.

Unicode codepoint
𝝸
Mathematical Sans-Serif Bold Small Iota
U+1D778
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 9D B8 (4 bytes).

Hex color
#01D778
RGB(1, 215, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.120.

Address
0.1.215.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.120

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 120,696 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.