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100,640

100,640 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.).
Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
46,001
Recamán's sequence
a(255,436) = 100,640
Square (n²)
10,128,409,600
Cube (n³)
1,019,323,142,144,000
Divisor count
48
σ(n) — sum of divisors
258,552
φ(n) — Euler's totient
36,864
Sum of prime factors
69

Primality

Prime factorization: 2 5 × 5 × 17 × 37

Nearest primes: 100,621 (−19) · 100,649 (+9)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 32 · 34 · 37 · 40 · 68 · 74 · 80 · 85 · 136 · 148 · 160 · 170 · 185 · 272 · 296 · 340 · 370 · 544 · 592 · 629 · 680 · 740 · 1184 · 1258 · 1360 · 1480 · 2516 · 2720 · 2960 · 3145 · 5032 · 5920 · 6290 · 10064 · 12580 · 20128 · 25160 · 50320 (half) · 100640
Aliquot sum (sum of proper divisors): 157,912
Factor pairs (a × b = 100,640)
1 × 100640
2 × 50320
4 × 25160
5 × 20128
8 × 12580
10 × 10064
16 × 6290
17 × 5920
20 × 5032
32 × 3145
34 × 2960
37 × 2720
40 × 2516
68 × 1480
74 × 1360
80 × 1258
85 × 1184
136 × 740
148 × 680
160 × 629
170 × 592
185 × 544
272 × 370
296 × 340
First multiples
100,640 · 201,280 (double) · 301,920 · 402,560 · 503,200 · 603,840 · 704,480 · 805,120 · 905,760 · 1,006,400

Sums & aliquot sequence

As a sum of two squares: 28² + 316² = 76² + 308² = 124² + 292² = 212² + 236²
As consecutive integers: 20,126 + 20,127 + 20,128 + 20,129 + 20,130 5,912 + 5,913 + … + 5,928 2,702 + 2,703 + … + 2,738 1,541 + 1,542 + … + 1,604
Aliquot sequence: 100,640 157,912 138,188 106,252 82,244 66,856 61,484 51,916 38,944 37,790 30,250 31,994 18,874 9,440 13,240 16,640 26,284 — unresolved within range

Continued fraction of √n

√100,640 = [317; (4, 4, 1, 157, 1, 4, 4, 634)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand six hundred forty
Ordinal
100640th
Binary
11000100100100000
Octal
304440
Hexadecimal
0x18920
Base64
AYkg
One's complement
4,294,866,655 (32-bit)
Scientific notation
1.0064 × 10⁵
In other bases
ternary (3) 12010001102
quaternary (4) 120210200
quinary (5) 11210030
senary (6) 2053532
septenary (7) 566261
nonary (9) 163042
undecimal (11) 69681
duodecimal (12) 4a2a8
tridecimal (13) 36a67
tetradecimal (14) 28968
pentadecimal (15) 1ec45

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρχμʹ
Mayan (base 20)
𝋬·𝋫·𝋬·𝋠
Chinese
一十萬零六百四十
Chinese (financial)
壹拾萬零陸佰肆拾
In other modern scripts
Eastern Arabic ١٠٠٦٤٠ Devanagari १००६४० Bengali ১০০৬৪০ Tamil ௧௦௦௬௪௦ Thai ๑๐๐๖๔๐ Tibetan ༡༠༠༦༤༠ Khmer ១០០៦៤០ Lao ໑໐໐໖໔໐ Burmese ၁၀၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100640, here are decompositions:

  • 19 + 100621 = 100640
  • 31 + 100609 = 100640
  • 103 + 100537 = 100640
  • 139 + 100501 = 100640
  • 157 + 100483 = 100640
  • 181 + 100459 = 100640
  • 193 + 100447 = 100640
  • 223 + 100417 = 100640

Showing the first eight; more decompositions exist.

Unicode codepoint
𘤠
Tangut Component-289
U+18920
Other letter (Lo)

UTF-8 encoding: F0 98 A4 A0 (4 bytes).

Hex color
#018920
RGB(1, 137, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.32.

Address
0.1.137.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.32

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 100,640 and was likely granted around 1870.

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