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160,400

160,400 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.).

160,400 (one hundred sixty thousand four hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 401. Its proper divisors sum to 225,922, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27290.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
4,061
Recamán's sequence
a(49,560) = 160,400
Square (n²)
25,728,160,000
Cube (n³)
4,126,796,864,000,000
Divisor count
30
σ(n) — sum of divisors
386,322
φ(n) — Euler's totient
64,000
Sum of prime factors
419

Primality

Prime factorization: 2 4 × 5 2 × 401

Nearest primes: 160,397 (−3) · 160,403 (+3)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 400 · 401 · 802 · 1604 · 2005 · 3208 · 4010 · 6416 · 8020 · 10025 · 16040 · 20050 · 32080 · 40100 · 80200 (half) · 160400
Aliquot sum (sum of proper divisors): 225,922
Factor pairs (a × b = 160,400)
1 × 160400
2 × 80200
4 × 40100
5 × 32080
8 × 20050
10 × 16040
16 × 10025
20 × 8020
25 × 6416
40 × 4010
50 × 3208
80 × 2005
100 × 1604
200 × 802
400 × 401
First multiples
160,400 · 320,800 (double) · 481,200 · 641,600 · 802,000 · 962,400 · 1,122,800 · 1,283,200 · 1,443,600 · 1,604,000

Sums & aliquot sequence

As a sum of two squares: 20² + 400² = 224² + 332² = 256² + 308²
As consecutive integers: 32,078 + 32,079 + 32,080 + 32,081 + 32,082 6,404 + 6,405 + … + 6,428 4,997 + 4,998 + … + 5,028 923 + 924 + … + 1,082
Aliquot sequence: 160,400 225,922 135,230 108,202 54,104 47,356 35,524 27,980 30,820 37,724 28,300 33,328 31,276 31,332 52,444 52,500 122,444 — unresolved within range

Continued fraction of √n

√160,400 = [400; (2, 800)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty thousand four hundred
Ordinal
160400th
Binary
100111001010010000
Octal
471220
Hexadecimal
0x27290
Base64
AnKQ
One's complement
4,294,806,895 (32-bit)
Scientific notation
1.604 × 10⁵
As a duration
160,400 s = 1 day, 20 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 22011000202
quaternary (4) 213022100
quinary (5) 20113100
senary (6) 3234332
septenary (7) 1235432
nonary (9) 264022
undecimal (11) aa569
duodecimal (12) 789a8
tridecimal (13) 58016
tetradecimal (14) 42652
pentadecimal (15) 327d5

As an angle

160,400° = 445 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρξυʹ
Chinese
一十六萬零四百
Chinese (financial)
壹拾陸萬零肆佰
In other modern scripts
Eastern Arabic ١٦٠٤٠٠ Devanagari १६०४०० Bengali ১৬০৪০০ Tamil ௧௬௦௪௦௦ Thai ๑๖๐๔๐๐ Tibetan ༡༦༠༤༠༠ Khmer ១៦០៤០០ Lao ໑໖໐໔໐໐ Burmese ၁၆၀၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 160400, here are decompositions:

  • 3 + 160397 = 160400
  • 13 + 160387 = 160400
  • 43 + 160357 = 160400
  • 157 + 160243 = 160400
  • 193 + 160207 = 160400
  • 199 + 160201 = 160400
  • 241 + 160159 = 160400
  • 283 + 160117 = 160400

Showing the first eight; more decompositions exist.

Unicode codepoint
𧊐
CJK Unified Ideograph-27290
U+27290
Other letter (Lo)

UTF-8 encoding: F0 A7 8A 90 (4 bytes).

Hex color
#027290
RGB(2, 114, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.114.144.

Address
0.2.114.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.114.144

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 160,400 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 160400 first appears in π at position 754,400 of the decimal expansion (the 754,400ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.