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132,600

132,600 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.).

132,600 (one hundred thirty-two thousand six hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 13 × 17. Its proper divisors sum to 336,120, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x205F8.

Abundant Number Evil Number Gapful Number Harshad / Niven Nonagonal Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
6,231
Square (n²)
17,582,760,000
Cube (n³)
2,331,473,976,000,000
Divisor count
96
σ(n) — sum of divisors
468,720
φ(n) — Euler's totient
30,720
Sum of prime factors
49

Primality

Prime factorization: 2 3 × 3 × 5 2 × 13 × 17

Nearest primes: 132,589 (−11) · 132,607 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 17 · 20 · 24 · 25 · 26 · 30 · 34 · 39 · 40 · 50 · 51 · 52 · 60 · 65 · 68 · 75 · 78 · 85 · 100 · 102 · 104 · 120 · 130 · 136 · 150 · 156 · 170 · 195 · 200 · 204 · 221 · 255 · 260 · 300 · 312 · 325 · 340 · 390 · 408 · 425 · 442 · 510 · 520 · 600 · 650 · 663 · 680 · 780 · 850 · 884 · 975 · 1020 · 1105 · 1275 · 1300 · 1326 · 1560 · 1700 · 1768 · 1950 · 2040 · 2210 · 2550 · 2600 · 2652 · 3315 · 3400 · 3900 · 4420 · 5100 · 5304 · 5525 · 6630 · 7800 · 8840 · 10200 · 11050 · 13260 · 16575 · 22100 · 26520 · 33150 · 44200 · 66300 (half) · 132600
Aliquot sum (sum of proper divisors): 336,120
Factor pairs (a × b = 132,600)
1 × 132600
2 × 66300
3 × 44200
4 × 33150
5 × 26520
6 × 22100
8 × 16575
10 × 13260
12 × 11050
13 × 10200
15 × 8840
17 × 7800
20 × 6630
24 × 5525
25 × 5304
26 × 5100
30 × 4420
34 × 3900
39 × 3400
40 × 3315
50 × 2652
51 × 2600
52 × 2550
60 × 2210
65 × 2040
68 × 1950
75 × 1768
78 × 1700
85 × 1560
100 × 1326
102 × 1300
104 × 1275
120 × 1105
130 × 1020
136 × 975
150 × 884
156 × 850
170 × 780
195 × 680
200 × 663
204 × 650
221 × 600
255 × 520
260 × 510
300 × 442
312 × 425
325 × 408
340 × 390
First multiples
132,600 · 265,200 (double) · 397,800 · 530,400 · 663,000 · 795,600 · 928,200 · 1,060,800 · 1,193,400 · 1,326,000

Sums & aliquot sequence

As consecutive integers: 44,199 + 44,200 + 44,201 26,518 + 26,519 + 26,520 + 26,521 + 26,522 10,194 + 10,195 + … + 10,206 8,833 + 8,834 + … + 8,847
Aliquot sequence: 132,600 336,120 672,600 1,559,400 3,529,560 7,241,640 18,367,320 37,036,680 74,073,720 181,923,720 416,793,720 1,025,187,720 2,231,297,400 4,803,073,800 12,213,545,400 — keeps growing

Continued fraction of √n

√132,600 = [364; (7, 728)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-two thousand six hundred
Ordinal
132600th
Binary
100000010111111000
Octal
402770
Hexadecimal
0x205F8
Base64
AgX4
One's complement
4,294,834,695 (32-bit)
Scientific notation
1.326 × 10⁵
As a duration
132,600 s = 1 day, 12 hours, 50 minutes
In other bases
ternary (3) 20201220010
quaternary (4) 200113320
quinary (5) 13220400
senary (6) 2501520
septenary (7) 1061406
nonary (9) 221803
undecimal (11) 90696
duodecimal (12) 648a0
tridecimal (13) 48480
tetradecimal (14) 36476
pentadecimal (15) 29450

As an angle

132,600° = 368 × 360° + 120°
120° ≈ 2.094 rad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλβχʹ
Mayan (base 20)
𝋰·𝋫·𝋪·𝋠
Chinese
一十三萬二千六百
Chinese (financial)
壹拾參萬貳仟陸佰
In other modern scripts
Eastern Arabic ١٣٢٦٠٠ Devanagari १३२६०० Bengali ১৩২৬০০ Tamil ௧௩௨௬௦௦ Thai ๑๓๒๖๐๐ Tibetan ༡༣༢༦༠༠ Khmer ១៣២៦០០ Lao ໑໓໒໖໐໐ Burmese ၁၃၂၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 132600, here are decompositions:

  • 11 + 132589 = 132600
  • 53 + 132547 = 132600
  • 59 + 132541 = 132600
  • 67 + 132533 = 132600
  • 71 + 132529 = 132600
  • 73 + 132527 = 132600
  • 89 + 132511 = 132600
  • 101 + 132499 = 132600

Showing the first eight; more decompositions exist.

Unicode codepoint
𠗸
CJK Unified Ideograph-205F8
U+205F8
Other letter (Lo)

UTF-8 encoding: F0 A0 97 B8 (4 bytes).

Hex color
#0205F8
RGB(2, 5, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.5.248.

Address
0.2.5.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.5.248

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 132,600 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 132600 first appears in π at position 602,776 of the decimal expansion (the 602,776ordinal-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°.