Live analysis

20,010

20,010 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.).

20,010 (twenty thousand ten) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 23 × 29. Its proper divisors sum to 31,830, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x4E2A.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

19,998 19,999 20,000 20,001 20,002 20,003 20,004 20,005 20,006 20,007 20,008 20,009 20,010 20,011 20,012 20,013 20,014 20,015 20,016 20,017 20,018 20,019 20,020 20,021 20,022

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 15 bits
Reversed: 1,002
Square (n²): 400,400,100
Cube (n³): 8,012,006,001,000
Divisor count: 32
σ(n) — sum of divisors: 51,840
φ(n) — Euler's totient: 4,928
Sum of prime factors: 62

Primality

Prime factorization: 2 × 3 × 5 × 23 × 29

Nearest primes: 19,997 (−13) · 20,011 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 23 · 29 · 30 · 46 · 58 · 69 · 87 · 115 · 138 · 145 · 174 · 230 · 290 · 345 · 435 · 667 · 690 · 870 · 1334 · 2001 · 3335 · 4002 · 6670 · 10005 (half) · 20010

Aliquot sum (sum of proper divisors): 31,830

Factor pairs (a × b = 20,010)

1 × 20010

2 × 10005

3 × 6670

5 × 4002

6 × 3335

10 × 2001

15 × 1334

23 × 870

29 × 690

30 × 667

46 × 435

58 × 345

69 × 290

87 × 230

115 × 174

138 × 145

First multiples

20,010 · 40,020 (double) · 60,030 · 80,040 · 100,050 · 120,060 · 140,070 · 160,080 · 180,090 · 200,100

Sums & aliquot sequence

As consecutive integers: 6,669 + 6,670 + 6,671 5,001 + 5,002 + 5,003 + 5,004 4,000 + 4,001 + 4,002 + 4,003 + 4,004 1,662 + 1,663 + … + 1,673

Aliquot sequence: 20,010 → 31,830 → 44,634 → 47,238 → 47,250 → 102,510 → 183,906 → 238,698 → 287,802 → 348,678 → 498,042 → 659,718 → 885,882 → 885,894 → 988,626 → 988,638 → 1,271,202 — unresolved within range

Continued fraction of √n

√20,010 = [141; (2, 5, 3, 1, 1, 1, 3, 1, 2, 1, 1, 46, 1, 1, 2, 1, 3, 1, 1, 1, 3, 5, 2, 282)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: twenty thousand ten
Ordinal: 20010th
Binary: 100111000101010
Octal: 47052
Hexadecimal: 0x4E2A
Base64: Tio=
One's complement: 45,525 (16-bit)
Scientific notation: 2.001 × 10⁴
As a duration: 20,010 s = 5 hours, 33 minutes, 30 seconds

In other bases

ternary (3) 1000110010

quaternary (4) 10320222

quinary (5) 1120020

senary (6) 232350

septenary (7) 112224

nonary (9) 30403

undecimal (11) 14041

duodecimal (12) b6b6

tridecimal (13) 9153

tetradecimal (14) 7414

pentadecimal (15) 5de0

Palindromic in base 9, base 11

As an angle

20,010° = 55 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓂍𓂍𓎆
Greek (Milesian): ͵κιʹ
Mayan (base 20): 𝋢·𝋪·𝋠·𝋪
Chinese: 二萬零一十
Chinese (financial): 貳萬零壹拾

In other modern scripts

Eastern Arabic ٢٠٠١٠ Devanagari २००१० Bengali ২০০১০ Tamil ௨௦௦௧௦ Thai ๒๐๐๑๐ Tibetan ༢༠༠༡༠ Khmer ២០០១០ Lao ໒໐໐໑໐ Burmese ၂၀၀၁၀

Digit at this position in famous constants

π — Pi (π): Digit 20,010 = 9
e — Euler's number (e): Digit 20,010 = 8
φ — Golden ratio (φ): Digit 20,010 = 9
√2 — Pythagoras's (√2): Digit 20,010 = 7
ln 2 — Natural log of 2: Digit 20,010 = 3
γ — Euler-Mascheroni (γ): Digit 20,010 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20010, here are decompositions:

13 + 19997 = 20010
17 + 19993 = 20010
19 + 19991 = 20010
31 + 19979 = 20010
37 + 19973 = 20010
47 + 19963 = 20010
61 + 19949 = 20010
73 + 19937 = 20010

Showing the first eight; more decompositions exist.

Unicode codepoint

个

CJK Unified Ideograph-4E2A

U+4E2A

Other letter (Lo)

UTF-8 encoding: E4 B8 AA (3 bytes).

Lookup U+4E2A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004E2A

RGB(0, 78, 42)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.78.42.

Address: 0.0.78.42
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.78.42

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

Position in π

The digit sequence 20010 first appears in π at position 12,232 of the decimal expansion (the 12,232ordinal-suffix:nd 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 20010 on Pi Search ↗