Live analysis

2,400

2,400 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 Harshad / Niven

Properties

Parity: Even
Digit count: 4
Digit sum: 6
Digital root: 6
Palindrome: No
Divisor count: 36
σ(n) — sum of divisors: 7,812

Primality

Prime factorization: 2 ⁵ × 3 × 5 ²

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 25 · 30 · 32 · 40 · 48 · 50 · 60 · 75 · 80 · 96 · 100 · 120 · 150 · 160 · 200 · 240 · 300 · 400 · 480 · 600 · 800 · 1200 · 2400

Aliquot sum (sum of proper divisors): 5,412

Factor pairs (a × b = 2,400)

1 × 2400

2 × 1200

3 × 800

4 × 600

5 × 480

6 × 400

8 × 300

10 × 240

12 × 200

15 × 160

16 × 150

20 × 120

24 × 100

25 × 96

30 × 80

32 × 75

40 × 60

48 × 50

First multiples

2,400 · 4,800 · 7,200 · 9,600 · 12,000 · 14,400 · 16,800 · 19,200 · 21,600 · 24,000

Representations

In words: two thousand four hundred
Ordinal: 2400th
Roman numeral: MMCD
Binary: 100101100000
Octal: 4540
Hexadecimal: 960

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2400, here are decompositions:

7 + 2393 = 2400
11 + 2389 = 2400
17 + 2383 = 2400
19 + 2381 = 2400
23 + 2377 = 2400
29 + 2371 = 2400
43 + 2357 = 2400
53 + 2347 = 2400

Showing the first eight; more decompositions exist.

Unicode codepoint

ॠ

U+0960

Other letter (Lo)

UTF-8 encoding: E0 A5 A0 (3 bytes).

Lookup U+0960 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000960

RGB(0, 9, 96)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.96.