Live analysis

16,400

16,400 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 Evil Number Gapful Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity: Even
Digit count: 5
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 15 bits
Reversed: 461
Recamán's sequence: a(17,912) = 16,400
Square (n²): 268,960,000
Cube (n³): 4,410,944,000,000
Divisor count: 30
σ(n) — sum of divisors: 40,362
φ(n) — Euler's totient: 6,400
Sum of prime factors: 59

Primality

Prime factorization: 2 ⁴ × 5 ² × 41

Nearest primes: 16,381 (−19) · 16,411 (+11)

Divisors & multiples

All divisors (30)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 41 · 50 · 80 · 82 · 100 · 164 · 200 · 205 · 328 · 400 · 410 · 656 · 820 · 1025 · 1640 · 2050 · 3280 · 4100 · 8200 (half) · 16400

Aliquot sum (sum of proper divisors): 23,962

Factor pairs (a × b = 16,400)

1 × 16400

2 × 8200

4 × 4100

5 × 3280

8 × 2050

10 × 1640

16 × 1025

20 × 820

25 × 656

40 × 410

41 × 400

50 × 328

80 × 205

82 × 200

100 × 164

First multiples

16,400 · 32,800 (double) · 49,200 · 65,600 · 82,000 · 98,400 · 114,800 · 131,200 · 147,600 · 164,000

Sums & aliquot sequence

As a sum of two squares: 4² + 128² = 32² + 124² = 80² + 100²

As consecutive integers: 3,278 + 3,279 + 3,280 + 3,281 + 3,282 644 + 645 + … + 668 497 + 498 + … + 528 380 + 381 + … + 420

Aliquot sequence: 16,400 → 23,962 → 11,984 → 14,800 → 21,718 → 10,862 → 5,434 → 4,646 → 2,698 → 1,622 → 814 → 554 → 280 → 440 → 640 → 890 → 730 — unresolved within range

Representations

In words: sixteen thousand four hundred
Ordinal: 16400th
Binary: 100000000010000
Octal: 40020
Hexadecimal: 0x4010
Base64: QBA=
One's complement: 49,135 (16-bit)

In other bases

ternary (3) 211111102

quaternary (4) 10000100

quinary (5) 1011100

senary (6) 203532

septenary (7) 65546

nonary (9) 24442

undecimal (11) 1135a

duodecimal (12) 95a8

tridecimal (13) 7607

tetradecimal (14) 5d96

pentadecimal (15) 4cd5

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian): ͵ιϛυʹ
Mayan (base 20): 𝋢·𝋡·𝋠·𝋠
Chinese: 一萬六千四百
Chinese (financial): 壹萬陸仟肆佰

In other modern scripts

Eastern Arabic ١٦٤٠٠ Devanagari १६४०० Bengali ১৬৪০০ Tamil ௧௬௪௦௦ Thai ๑๖๔๐๐ Tibetan ༡༦༤༠༠ Khmer ១៦៤០០ Lao ໑໖໔໐໐ Burmese ၁၆၄၀၀

Digit at this position in famous constants

π — Pi (π): Digit 16,400 = 0
e — Euler's number (e): Digit 16,400 = 2
φ — Golden ratio (φ): Digit 16,400 = 5
√2 — Pythagoras's (√2): Digit 16,400 = 7
ln 2 — Natural log of 2: Digit 16,400 = 9
γ — Euler-Mascheroni (γ): Digit 16,400 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16400, here are decompositions:

19 + 16381 = 16400
31 + 16369 = 16400
37 + 16363 = 16400
61 + 16339 = 16400
67 + 16333 = 16400
127 + 16273 = 16400
151 + 16249 = 16400
211 + 16189 = 16400

Showing the first eight; more decompositions exist.

Unicode codepoint

䀐

CJK Unified Ideograph-4010

U+4010

Other letter (Lo)

UTF-8 encoding: E4 80 90 (3 bytes).

Lookup U+4010 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#004010

RGB(0, 64, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.64.16.

Address: 0.0.64.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.64.16

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

Position in π

The digit sequence 16400 first appears in π at position 183,791 of the decimal expansion (the 183,791ordinal-suffix:st 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 16400 on Pi Search ↗