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132,748

132,748 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.).

132,748 (one hundred thirty-two thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 11 × 431. Its proper divisors sum to 157,556, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2068C.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
847,231
Square (n²)
17,622,031,504
Cube (n³)
2,339,289,438,092,992
Divisor count
24
σ(n) — sum of divisors
290,304
φ(n) — Euler's totient
51,600
Sum of prime factors
453

Primality

Prime factorization: 2 2 × 7 × 11 × 431

Nearest primes: 132,739 (−9) · 132,749 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 11 · 14 · 22 · 28 · 44 · 77 · 154 · 308 · 431 · 862 · 1724 · 3017 · 4741 · 6034 · 9482 · 12068 · 18964 · 33187 · 66374 (half) · 132748
Aliquot sum (sum of proper divisors): 157,556
Factor pairs (a × b = 132,748)
1 × 132748
2 × 66374
4 × 33187
7 × 18964
11 × 12068
14 × 9482
22 × 6034
28 × 4741
44 × 3017
77 × 1724
154 × 862
308 × 431
First multiples
132,748 · 265,496 (double) · 398,244 · 530,992 · 663,740 · 796,488 · 929,236 · 1,061,984 · 1,194,732 · 1,327,480

Sums & aliquot sequence

As consecutive integers: 18,961 + 18,962 + … + 18,967 16,590 + 16,591 + … + 16,597 12,063 + 12,064 + … + 12,073 2,343 + 2,344 + … + 2,398
Aliquot sequence: 132,748 157,556 177,100 322,868 373,324 388,276 406,924 406,980 1,165,500 3,150,084 5,250,364 5,250,420 13,613,964 26,691,420 59,690,148 101,052,252 200,003,748 — unresolved within range

Continued fraction of √n

√132,748 = [364; (2, 1, 8, 8, 1, 7, 2, 1, 1, 3, 1, 1, 11, 182, 11, 1, 1, 3, 1, 1, 2, 7, 1, 8, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand seven hundred forty-eight
Ordinal
132748th
Binary
100000011010001100
Octal
403214
Hexadecimal
0x2068C
Base64
AgaM
One's complement
4,294,834,547 (32-bit)
Scientific notation
1.32748 × 10⁵
As a duration
132,748 s = 1 day, 12 hours, 52 minutes, 28 seconds
In other bases
ternary (3) 20202002121
quaternary (4) 200122030
quinary (5) 13221443
senary (6) 2502324
septenary (7) 1062010
nonary (9) 222077
undecimal (11) 90810
duodecimal (12) 649a4
tridecimal (13) 48565
tetradecimal (14) 36540
pentadecimal (15) 294ed

As an angle

132,748° = 368 × 360° + 268°
268° ≈ 4.677 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλβψμηʹ
Mayan (base 20)
𝋰·𝋫·𝋱·𝋨
Chinese
一十三萬二千七百四十八
Chinese (financial)
壹拾參萬貳仟柒佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٢٧٤٨ Devanagari १३२७४८ Bengali ১৩২৭৪৮ Tamil ௧௩௨௭௪௮ Thai ๑๓๒๗๔๘ Tibetan ༡༣༢༧༤༨ Khmer ១៣២៧៤៨ Lao ໑໓໒໗໔໘ Burmese ၁၃၂၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132748, here are decompositions:

  • 41 + 132707 = 132748
  • 47 + 132701 = 132748
  • 59 + 132689 = 132748
  • 101 + 132647 = 132748
  • 137 + 132611 = 132748
  • 257 + 132491 = 132748
  • 311 + 132437 = 132748
  • 401 + 132347 = 132748

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚌
CJK Unified Ideograph-2068C
U+2068C
Other letter (Lo)

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

Hex color
#02068C
RGB(2, 6, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.140.

Address
0.2.6.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.140

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 132,748 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 132748 first appears in π at position 79,524 of the decimal expansion (the 79,524ordinal-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