number.wiki
Live analysis

132,400

132,400 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.).

132,400 (one hundred thirty-two thousand four hundred) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 5² × 331. Its proper divisors sum to 186,652, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20530.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
4,231
Recamán's sequence
a(227,572) = 132,400
Square (n²)
17,529,760,000
Cube (n³)
2,320,940,224,000,000
Divisor count
30
σ(n) — sum of divisors
319,052
φ(n) — Euler's totient
52,800
Sum of prime factors
349

Primality

Prime factorization: 2 4 × 5 2 × 331

Nearest primes: 132,383 (−17) · 132,403 (+3)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 200 · 331 · 400 · 662 · 1324 · 1655 · 2648 · 3310 · 5296 · 6620 · 8275 · 13240 · 16550 · 26480 · 33100 · 66200 (half) · 132400
Aliquot sum (sum of proper divisors): 186,652
Factor pairs (a × b = 132,400)
1 × 132400
2 × 66200
4 × 33100
5 × 26480
8 × 16550
10 × 13240
16 × 8275
20 × 6620
25 × 5296
40 × 3310
50 × 2648
80 × 1655
100 × 1324
200 × 662
331 × 400
First multiples
132,400 · 264,800 (double) · 397,200 · 529,600 · 662,000 · 794,400 · 926,800 · 1,059,200 · 1,191,600 · 1,324,000

Sums & aliquot sequence

As consecutive integers: 26,478 + 26,479 + 26,480 + 26,481 + 26,482 5,284 + 5,285 + … + 5,308 4,122 + 4,123 + … + 4,153 748 + 749 + … + 907
Aliquot sequence: 132,400 186,652 139,996 113,124 175,164 271,044 414,186 414,198 483,270 696,090 974,598 991,482 991,494 1,627,386 1,627,398 1,989,162 2,936,694 — unresolved within range

Continued fraction of √n

√132,400 = [363; (1, 6, 1, 1, 2, 1, 1, 4, 2, 8, 4, 1, 2, 2, 1, 8, 3, 1, 1, 5, 2, 4, 16, 3, …)]

Representations

In words
one hundred thirty-two thousand four hundred
Ordinal
132400th
Binary
100000010100110000
Octal
402460
Hexadecimal
0x20530
Base64
AgUw
One's complement
4,294,834,895 (32-bit)
Scientific notation
1.324 × 10⁵
As a duration
132,400 s = 1 day, 12 hours, 46 minutes, 40 seconds
In other bases
ternary (3) 20201121201
quaternary (4) 200110300
quinary (5) 13214100
senary (6) 2500544
septenary (7) 1061002
nonary (9) 221551
undecimal (11) 90524
duodecimal (12) 64754
tridecimal (13) 48358
tetradecimal (14) 36372
pentadecimal (15) 2936a

As an angle

132,400° = 367 × 360° + 280°
280° ≈ 4.887 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλβυʹ
Mayan (base 20)
𝋰·𝋫·𝋠·𝋠
Chinese
一十三萬二千四百
Chinese (financial)
壹拾參萬貳仟肆佰
In other modern scripts
Eastern Arabic ١٣٢٤٠٠ Devanagari १३२४०० Bengali ১৩২৪০০ Tamil ௧௩௨௪௦௦ Thai ๑๓๒๔๐๐ Tibetan ༡༣༢༤༠༠ Khmer ១៣២៤០០ Lao ໑໓໒໔໐໐ Burmese ၁၃၂၄၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132400, here are decompositions:

  • 17 + 132383 = 132400
  • 29 + 132371 = 132400
  • 53 + 132347 = 132400
  • 71 + 132329 = 132400
  • 101 + 132299 = 132400
  • 113 + 132287 = 132400
  • 137 + 132263 = 132400
  • 167 + 132233 = 132400

Showing the first eight; more decompositions exist.

Unicode codepoint
𠔰
CJK Unified Ideograph-20530
U+20530
Other letter (Lo)

UTF-8 encoding: F0 A0 94 B0 (4 bytes).

Hex color
#020530
RGB(2, 5, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.48.

Address
0.2.5.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.48

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 132,400 and was likely granted around 1872.

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

Related reading