Live analysis

10,140

10,140 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.).

10,140 (ten thousand one hundred forty) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5 × 13². Its proper divisors sum to 20,604, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x279C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

10,128 10,129 10,130 10,131 10,132 10,133 10,134 10,135 10,136 10,137 10,138 10,139 10,140 10,141 10,142 10,143 10,144 10,145 10,146 10,147 10,148 10,149 10,150 10,151 10,152

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 4,101
Recamán's sequence: a(5,539) = 10,140
Square (n²): 102,819,600
Cube (n³): 1,042,590,744,000
Divisor count: 36
σ(n) — sum of divisors: 30,744
φ(n) — Euler's totient: 2,496
Sum of prime factors: 38

Primality

Prime factorization: 2 ² × 3 × 5 × 13 ²

Nearest primes: 10,139 (−1) · 10,141 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 13 · 15 · 20 · 26 · 30 · 39 · 52 · 60 · 65 · 78 · 130 · 156 · 169 · 195 · 260 · 338 · 390 · 507 · 676 · 780 · 845 · 1014 · 1690 · 2028 · 2535 · 3380 · 5070 (half) · 10140

Aliquot sum (sum of proper divisors): 20,604

Factor pairs (a × b = 10,140)

1 × 10140

2 × 5070

3 × 3380

4 × 2535

5 × 2028

6 × 1690

10 × 1014

12 × 845

13 × 780

15 × 676

20 × 507

26 × 390

30 × 338

39 × 260

52 × 195

60 × 169

65 × 156

78 × 130

First multiples

10,140 · 20,280 (double) · 30,420 · 40,560 · 50,700 · 60,840 · 70,980 · 81,120 · 91,260 · 101,400

Sums & aliquot sequence

As consecutive integers: 3,379 + 3,380 + 3,381 2,026 + 2,027 + 2,028 + 2,029 + 2,030 1,264 + 1,265 + … + 1,271 774 + 775 + … + 786

Aliquot sequence: 10,140 → 20,604 → 30,804 → 45,804 → 71,124 → 94,860 → 219,636 → 335,646 → 417,834 → 499,446 → 620,046 → 1,069,434 → 1,457,766 → 1,733,994 → 2,162,646 → 2,812,554 → 3,281,352 — unresolved within range

Continued fraction of √n

√10,140 = [100; (1, 2, 3, 3, 1, 4, 3, 1, 2, 1, 5, 50, 5, 1, 2, 1, 3, 4, 1, 3, 3, 2, 1, 200)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: ten thousand one hundred forty
Ordinal: 10140th
Binary: 10011110011100
Octal: 23634
Hexadecimal: 0x279C
Base64: J5w=
One's complement: 55,395 (16-bit)
Scientific notation: 1.014 × 10⁴
As a duration: 10,140 s = 2 hours, 49 minutes

In other bases

ternary (3) 111220120

quaternary (4) 2132130

quinary (5) 311030

senary (6) 114540

septenary (7) 41364

nonary (9) 14816

undecimal (11) 7689

duodecimal (12) 5a50

tridecimal (13) 4800

tetradecimal (14) 39a4

pentadecimal (15) 3010

As an angle

10,140° = 28 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓂍𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ιρμʹ
Mayan (base 20): 𝋡·𝋥·𝋧·𝋠
Chinese: 一萬零一百四十
Chinese (financial): 壹萬零壹佰肆拾

In other modern scripts

Eastern Arabic ١٠١٤٠ Devanagari १०१४० Bengali ১০১৪০ Tamil ௧௦௧௪௦ Thai ๑๐๑๔๐ Tibetan ༡༠༡༤༠ Khmer ១០១៤០ Lao ໑໐໑໔໐ Burmese ၁၀၁၄၀

Digit at this position in famous constants

π — Pi (π): Digit 10,140 = 2
e — Euler's number (e): Digit 10,140 = 2
φ — Golden ratio (φ): Digit 10,140 = 3
√2 — Pythagoras's (√2): Digit 10,140 = 3
ln 2 — Natural log of 2: Digit 10,140 = 0
γ — Euler-Mascheroni (γ): Digit 10,140 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10140, here are decompositions:

7 + 10133 = 10140
29 + 10111 = 10140
37 + 10103 = 10140
41 + 10099 = 10140
47 + 10093 = 10140
61 + 10079 = 10140
71 + 10069 = 10140
73 + 10067 = 10140

Showing the first eight; more decompositions exist.

Unicode codepoint

➜

Heavy Round-Tipped Rightwards Arrow

U+279C

Other symbol (So)

UTF-8 encoding: E2 9E 9C (3 bytes).

Lookup U+279C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00279C

RGB(0, 39, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.156.

Address: 0.0.39.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.156

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 10,140 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +32¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -31¢)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +33¢)

Position in π

The digit sequence 10140 first appears in π at position 58,529 of the decimal expansion (the 58,529ordinal-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.

Look up 10140 on Pi Search ↗