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132,750

132,750 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.).

132,750 (one hundred thirty-two thousand seven hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5³ × 59. Its proper divisors sum to 232,290, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2068E.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
57,231
Square (n²)
17,622,562,500
Cube (n³)
2,339,395,171,875,000
Divisor count
48
σ(n) — sum of divisors
365,040
φ(n) — Euler's totient
34,800
Sum of prime factors
82

Primality

Prime factorization: 2 × 3 2 × 5 3 × 59

Nearest primes: 132,749 (−1) · 132,751 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 25 · 30 · 45 · 50 · 59 · 75 · 90 · 118 · 125 · 150 · 177 · 225 · 250 · 295 · 354 · 375 · 450 · 531 · 590 · 750 · 885 · 1062 · 1125 · 1475 · 1770 · 2250 · 2655 · 2950 · 4425 · 5310 · 7375 · 8850 · 13275 · 14750 · 22125 · 26550 · 44250 · 66375 (half) · 132750
Aliquot sum (sum of proper divisors): 232,290
Factor pairs (a × b = 132,750)
1 × 132750
2 × 66375
3 × 44250
5 × 26550
6 × 22125
9 × 14750
10 × 13275
15 × 8850
18 × 7375
25 × 5310
30 × 4425
45 × 2950
50 × 2655
59 × 2250
75 × 1770
90 × 1475
118 × 1125
125 × 1062
150 × 885
177 × 750
225 × 590
250 × 531
295 × 450
354 × 375
First multiples
132,750 · 265,500 (double) · 398,250 · 531,000 · 663,750 · 796,500 · 929,250 · 1,062,000 · 1,194,750 · 1,327,500

Sums & aliquot sequence

As consecutive integers: 44,249 + 44,250 + 44,251 33,186 + 33,187 + 33,188 + 33,189 26,548 + 26,549 + 26,550 + 26,551 + 26,552 14,746 + 14,747 + … + 14,754
Aliquot sequence: 132,750 232,290 399,510 689,994 805,032 1,431,768 2,455,152 4,794,384 10,125,296 9,950,056 8,742,044 6,556,540 7,212,236 5,409,184 6,396,512 6,467,584 6,474,196 — unresolved within range

Continued fraction of √n

√132,750 = [364; (2, 1, 6, 1, 1, 4, 1, 2, 2, 2, 1, 1, 2, 37, 1, 28, 5, 1, 2, 1, 51, 3, 4, 1, …)]

Representations

In words
one hundred thirty-two thousand seven hundred fifty
Ordinal
132750th
Binary
100000011010001110
Octal
403216
Hexadecimal
0x2068E
Base64
AgaO
One's complement
4,294,834,545 (32-bit)
Scientific notation
1.3275 × 10⁵
As a duration
132,750 s = 1 day, 12 hours, 52 minutes, 30 seconds
In other bases
ternary (3) 20202002200
quaternary (4) 200122032
quinary (5) 13222000
senary (6) 2502330
septenary (7) 1062012
nonary (9) 222080
undecimal (11) 90812
duodecimal (12) 649a6
tridecimal (13) 48567
tetradecimal (14) 36542
pentadecimal (15) 29500

As an angle

132,750° = 368 × 360° + 270°
270° ≈ 4.712 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλβψνʹ
Mayan (base 20)
𝋰·𝋫·𝋱·𝋪
Chinese
一十三萬二千七百五十
Chinese (financial)
壹拾參萬貳仟柒佰伍拾
In other modern scripts
Eastern Arabic ١٣٢٧٥٠ Devanagari १३२७५० Bengali ১৩২৭৫০ Tamil ௧௩௨௭௫௦ Thai ๑๓๒๗๕๐ Tibetan ༡༣༢༧༥༠ Khmer ១៣២៧៥០ Lao ໑໓໒໗໕໐ Burmese ၁၃၂၇၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132750, here are decompositions:

  • 11 + 132739 = 132750
  • 29 + 132721 = 132750
  • 41 + 132709 = 132750
  • 43 + 132707 = 132750
  • 53 + 132697 = 132750
  • 61 + 132689 = 132750
  • 71 + 132679 = 132750
  • 83 + 132667 = 132750

Showing the first eight; more decompositions exist.

Unicode codepoint
𠚎
CJK Unified Ideograph-2068E
U+2068E
Other letter (Lo)

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

Hex color
#02068E
RGB(2, 6, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.6.142.

Address
0.2.6.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.6.142

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 132,750 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 132750 first appears in π at position 20,976 of the decimal expansion (the 20,976ordinal-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°.