Live analysis

100,140

100,140 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.).

100,140 (one hundred thousand one hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 1,669. Its proper divisors sum to 180,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1872C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

100,128 100,129 100,130 100,131 100,132 100,133 100,134 100,135 100,136 100,137 100,138 100,139 100,140 100,141 100,142 100,143 100,144 100,145 100,146 100,147 100,148 100,149 100,150 100,151 100,152

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 41,001
Square (n²): 10,028,019,600
Cube (n³): 1,004,205,882,744,000
Divisor count: 24
σ(n) — sum of divisors: 280,560
φ(n) — Euler's totient: 26,688
Sum of prime factors: 1,681

Primality

Prime factorization: 2 ² × 3 × 5 × 1669

Nearest primes: 100,129 (−11) · 100,151 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 1669 · 3338 · 5007 · 6676 · 8345 · 10014 · 16690 · 20028 · 25035 · 33380 · 50070 (half) · 100140

Aliquot sum (sum of proper divisors): 180,420

Factor pairs (a × b = 100,140)

1 × 100140

2 × 50070

3 × 33380

4 × 25035

5 × 20028

6 × 16690

10 × 10014

12 × 8345

15 × 6676

20 × 5007

30 × 3338

60 × 1669

First multiples

100,140 · 200,280 (double) · 300,420 · 400,560 · 500,700 · 600,840 · 700,980 · 801,120 · 901,260 · 1,001,400

Sums & aliquot sequence

As consecutive integers: 33,379 + 33,380 + 33,381 20,026 + 20,027 + 20,028 + 20,029 + 20,030 12,514 + 12,515 + … + 12,521 6,669 + 6,670 + … + 6,683

Aliquot sequence: 100,140 → 180,420 → 346,428 → 529,356 → 746,548 → 789,644 → 605,260 → 692,036 → 590,392 → 617,408 → 720,664 → 916,616 → 802,054 → 510,434 → 255,220 → 357,644 → 374,164 — unresolved within range

Continued fraction of √n

√100,140 = [316; (2, 4, 2, 2, 5, 1, 2, 10, 42, 10, 2, 1, 5, 2, 2, 4, 2, 632)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one hundred thousand one hundred forty
Ordinal: 100140th
Binary: 11000011100101100
Octal: 303454
Hexadecimal: 0x1872C
Base64: AYcs
One's complement: 4,294,867,155 (32-bit)
Scientific notation: 1.0014 × 10⁵
As a duration: 100,140 s = 1 day, 3 hours, 49 minutes

In other bases

ternary (3) 12002100220

quaternary (4) 120130230

quinary (5) 11201030

senary (6) 2051340

septenary (7) 564645

nonary (9) 162326

undecimal (11) 69267

duodecimal (12) 49b50

tridecimal (13) 36771

tetradecimal (14) 286cc

pentadecimal (15) 1ea10

As an angle

100,140° = 278 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ρρμʹ
Mayan (base 20): 𝋬·𝋪·𝋧·𝋠
Chinese: 一十萬零一百四十
Chinese (financial): 壹拾萬零壹佰肆拾

In other modern scripts

Eastern Arabic ١٠٠١٤٠ Devanagari १००१४० Bengali ১০০১৪০ Tamil ௧௦௦௧௪௦ Thai ๑๐๐๑๔๐ Tibetan ༡༠༠༡༤༠ Khmer ១០០១៤០ Lao ໑໐໐໑໔໐ Burmese ၁၀၀၁၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100140, here are decompositions:

11 + 100129 = 100140
31 + 100109 = 100140
37 + 100103 = 100140
71 + 100069 = 100140
83 + 100057 = 100140
97 + 100043 = 100140
137 + 100003 = 100140
149 + 99991 = 100140

Showing the first eight; more decompositions exist.

Unicode codepoint

𘜬

Tangut Ideograph-1872C

U+1872C

Other letter (Lo)

UTF-8 encoding: F0 98 9C AC (4 bytes).

Lookup U+1872C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01872C

RGB(1, 135, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.135.44.

Address: 0.1.135.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.135.44

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 100,140 and was likely granted around 1870.

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

Look up US100,140 on Google Patents ↗ Look up on USPTO ↗