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132,700

132,700 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.).

132,700 (one hundred thirty-two thousand seven hundred) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 5² × 1,327. Its proper divisors sum to 155,476, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2065C.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
7,231
Square (n²)
17,609,290,000
Cube (n³)
2,336,752,783,000,000
Divisor count
18
σ(n) — sum of divisors
288,176
φ(n) — Euler's totient
53,040
Sum of prime factors
1,341

Primality

Prime factorization: 2 2 × 5 2 × 1327

Nearest primes: 132,697 (−3) · 132,701 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 1327 · 2654 · 5308 · 6635 · 13270 · 26540 · 33175 · 66350 (half) · 132700
Aliquot sum (sum of proper divisors): 155,476
Factor pairs (a × b = 132,700)
1 × 132700
2 × 66350
4 × 33175
5 × 26540
10 × 13270
20 × 6635
25 × 5308
50 × 2654
100 × 1327
First multiples
132,700 · 265,400 (double) · 398,100 · 530,800 · 663,500 · 796,200 · 928,900 · 1,061,600 · 1,194,300 · 1,327,000

Sums & aliquot sequence

As consecutive integers: 26,538 + 26,539 + 26,540 + 26,541 + 26,542 16,584 + 16,585 + … + 16,591 5,296 + 5,297 + … + 5,320 3,298 + 3,299 + … + 3,337
Aliquot sequence: 132,700 155,476 122,732 96,004 72,010 64,790 73,450 74,978 37,492 44,044 60,228 114,492 208,068 347,004 754,740 1,866,060 4,607,316 — unresolved within range

Continued fraction of √n

√132,700 = [364; (3, 1, 1, 3, 14, 182, 14, 3, 1, 1, 3, 728)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred
Ordinal
132700th
Binary
100000011001011100
Octal
403134
Hexadecimal
0x2065C
Base64
AgZc
One's complement
4,294,834,595 (32-bit)
Scientific notation
1.327 × 10⁵
As a duration
132,700 s = 1 day, 12 hours, 51 minutes, 40 seconds
In other bases
ternary (3) 20202000211
quaternary (4) 200121130
quinary (5) 13221300
senary (6) 2502204
septenary (7) 1061611
nonary (9) 222024
undecimal (11) 90777
duodecimal (12) 64964
tridecimal (13) 48529
tetradecimal (14) 36508
pentadecimal (15) 294ba

As an angle

132,700° = 368 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλβψʹ
Mayan (base 20)
𝋰·𝋫·𝋯·𝋠
Chinese
一十三萬二千七百
Chinese (financial)
壹拾參萬貳仟柒佰
In other modern scripts
Eastern Arabic ١٣٢٧٠٠ Devanagari १३२७०० Bengali ১৩২৭০০ Tamil ௧௩௨௭௦௦ Thai ๑๓๒๗๐๐ Tibetan ༡༣༢༧༠༠ Khmer ១៣២៧០០ Lao ໑໓໒໗໐໐ Burmese ၁၃၂၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132700, here are decompositions:

  • 3 + 132697 = 132700
  • 11 + 132689 = 132700
  • 53 + 132647 = 132700
  • 89 + 132611 = 132700
  • 167 + 132533 = 132700
  • 173 + 132527 = 132700
  • 263 + 132437 = 132700
  • 317 + 132383 = 132700

Showing the first eight; more decompositions exist.

Unicode codepoint
𠙜
CJK Unified Ideograph-2065C
U+2065C
Other letter (Lo)

UTF-8 encoding: F0 A0 99 9C (4 bytes).

Hex color
#02065C
RGB(2, 6, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.92.

Address
0.2.6.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.92

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 132,700 and was likely granted around 1872.

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

Position in π

The digit sequence 132700 first appears in π at position 214,198 of the decimal expansion (the 214,198ordinal-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