Live analysis

2,420

2,420 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.).

2,420 (two thousand four hundred twenty) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 5 × 11². Its proper divisors sum to 3,166, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMCDXX and in binary, 100101110100.

Abundant Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

2,408 2,409 2,410 2,411 2,412 2,413 2,414 2,415 2,416 2,417 2,418 2,419 2,420 2,421 2,422 2,423 2,424 2,425 2,426 2,427 2,428 2,429 2,430 2,431 2,432

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 242
Recamán's sequence: a(15,695) = 2,420
Square (n²): 5,856,400
Cube (n³): 14,172,488,000
Divisor count: 18
σ(n) — sum of divisors: 5,586
φ(n) — Euler's totient: 880
Sum of prime factors: 31

Primality

Prime factorization: 2 ² × 5 × 11 ²

Nearest primes: 2,417 (−3) · 2,423 (+3)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 121 · 220 · 242 · 484 · 605 · 1210 (half) · 2420

Aliquot sum (sum of proper divisors): 3,166

Factor pairs (a × b = 2,420)

1 × 2420

2 × 1210

4 × 605

5 × 484

10 × 242

11 × 220

20 × 121

22 × 110

44 × 55

First multiples

2,420 · 4,840 (double) · 7,260 · 9,680 · 12,100 · 14,520 · 16,940 · 19,360 · 21,780 · 24,200

Sums & aliquot sequence

As a sum of two squares: 22² + 44²

As consecutive integers: 482 + 483 + 484 + 485 + 486 299 + 300 + … + 306 215 + 216 + … + 225 41 + 42 + … + 80

Aliquot sequence: 2,420 → 3,166 → 1,586 → 1,018 → 512 → 511 → 81 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√2,420 = [49; (5, 5, 1, 18, 1, 5, 5, 98)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: two thousand four hundred twenty
Ordinal: 2420th
Roman numeral: MMCDXX
Binary: 100101110100
Octal: 4564
Hexadecimal: 0x974
Base64: CXQ=
One's complement: 63,115 (16-bit)
Scientific notation: 2.42 × 10³
As a duration: 2,420 s = 40 minutes, 20 seconds

In other bases

ternary (3) 10022122

quaternary (4) 211310

quinary (5) 34140

senary (6) 15112

septenary (7) 10025

nonary (9) 3278

undecimal (11) 1900

duodecimal (12) 1498

tridecimal (13) 1142

tetradecimal (14) c4c

pentadecimal (15) ab5

Palindromic in base 14

As an angle

2,420° = 6 × 360° + 260°

260° ≈ 4.538 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵βυκʹ
Mayan (base 20): 𝋦·𝋡·𝋠
Chinese: 二千四百二十
Chinese (financial): 貳仟肆佰貳拾

In other modern scripts

Eastern Arabic ٢٤٢٠ Devanagari २४२० Bengali ২৪২০ Tamil ௨௪௨௦ Thai ๒๔๒๐ Tibetan ༢༤༢༠ Khmer ២៤២០ Lao ໒໔໒໐ Burmese ၂၄၂၀

Digit at this position in famous constants

π — Pi (π): Digit 2,420 = 6
e — Euler's number (e): Digit 2,420 = 0
φ — Golden ratio (φ): Digit 2,420 = 1
√2 — Pythagoras's (√2): Digit 2,420 = 2
ln 2 — Natural log of 2: Digit 2,420 = 5
γ — Euler-Mascheroni (γ): Digit 2,420 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2420, here are decompositions:

3 + 2417 = 2420
31 + 2389 = 2420
37 + 2383 = 2420
43 + 2377 = 2420
73 + 2347 = 2420
79 + 2341 = 2420
109 + 2311 = 2420
127 + 2293 = 2420

Showing the first eight; more decompositions exist.

Unicode codepoint

ॴ

Devanagari Letter Ooe

U+0974

Other letter (Lo)

UTF-8 encoding: E0 A5 B4 (3 bytes).

Lookup U+0974 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000974

RGB(0, 9, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.116.

Address: 0.0.9.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.116

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

Musical pitch

Heard as a frequency, 2,420 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯7 (2489 Hz, -49¢ — about midway to D7)
Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, -11¢)
Baroque pitch (A4 = 415 Hz): E7 (2487.2 Hz, -47¢ — about midway to D♯7)

Position in π

The digit sequence 2420 first appears in π at position 18,544 of the decimal expansion (the 18,544ordinal-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 2420 on Pi Search ↗