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106,240

106,240 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.).

106,240 (one hundred six thousand two hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁸ × 5 × 83. Its proper divisors sum to 151,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19F00.

Abundant Number Arithmetic Number Frugal Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
42,601
Recamán's sequence
a(24,020) = 106,240
Square (n²)
11,286,937,600
Cube (n³)
1,199,124,250,624,000
Divisor count
36
σ(n) — sum of divisors
257,544
φ(n) — Euler's totient
41,984
Sum of prime factors
104

Primality

Prime factorization: 2 8 × 5 × 83

Nearest primes: 106,219 (−21) · 106,243 (+3)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 83 · 128 · 160 · 166 · 256 · 320 · 332 · 415 · 640 · 664 · 830 · 1280 · 1328 · 1660 · 2656 · 3320 · 5312 · 6640 · 10624 · 13280 · 21248 · 26560 · 53120 (half) · 106240
Aliquot sum (sum of proper divisors): 151,304
Factor pairs (a × b = 106,240)
1 × 106240
2 × 53120
4 × 26560
5 × 21248
8 × 13280
10 × 10624
16 × 6640
20 × 5312
32 × 3320
40 × 2656
64 × 1660
80 × 1328
83 × 1280
128 × 830
160 × 664
166 × 640
256 × 415
320 × 332
First multiples
106,240 · 212,480 (double) · 318,720 · 424,960 · 531,200 · 637,440 · 743,680 · 849,920 · 956,160 · 1,062,400

Sums & aliquot sequence

As consecutive integers: 21,246 + 21,247 + 21,248 + 21,249 + 21,250 1,239 + 1,240 + … + 1,321 49 + 50 + … + 463
Aliquot sequence: 106,240 → 151,304 → 132,406 → 67,754 → 39,286 → 24,218 → 12,112 → 11,386 → 5,696 → 5,734 → 3,194 → 1,600 → 2,337 → 1,023 → 513 → 287 → 49 — unresolved within range

Continued fraction of √n

√106,240 = [325; (1, 17, 9, 7, 1, 15, 43, 2, 1, 1, 10, 3, 1, 3, 4, 1, 1, 3, 2, 71, 1, 161, 1, 71, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand two hundred forty
Ordinal
106240th
Binary
11001111100000000
Octal
317400
Hexadecimal
0x19F00
Base64
AZ8A
One's complement
4,294,861,055 (32-bit)
Scientific notation
1.0624 × 10⁵
As a duration
106,240 s = 1 day, 5 hours, 30 minutes, 40 seconds
In other bases
ternary (3) 12101201211
quaternary (4) 121330000
quinary (5) 11344430
senary (6) 2135504
septenary (7) 621511
nonary (9) 171654
undecimal (11) 72902
duodecimal (12) 51594
tridecimal (13) 39484
tetradecimal (14) 2aa08
pentadecimal (15) 2172a

As an angle

106,240° = 295 × 360° + 40°
40° ≈ 0.698 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρϛσμʹ
Mayan (base 20)
𝋭·𝋥·𝋬·𝋠
Chinese
十萬六千二百四十
Chinese (financial)
壹拾萬陸仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٠٦٢٤٠ Devanagari १०६२४० Bengali ১০৬২৪০ Tamil ௧௦௬௨௪௦ Thai ๑๐๖๒๔๐ Tibetan ༡༠༦༢༤༠ Khmer ១០៦២៤០ Lao ໑໐໖໒໔໐ Burmese ၁၀၆၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106240, here are decompositions:

  • 23 + 106217 = 106240
  • 53 + 106187 = 106240
  • 59 + 106181 = 106240
  • 131 + 106109 = 106240
  • 137 + 106103 = 106240
  • 227 + 106013 = 106240
  • 257 + 105983 = 106240
  • 263 + 105977 = 106240

Showing the first eight; more decompositions exist.

Hex color
#019F00
RGB(1, 159, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.0.

Address
0.1.159.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.159.0

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 106,240 and was likely granted around 1870.

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

Related reading