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133,560

133,560 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.).

133,560 (one hundred thirty-three thousand five hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 7 × 53. Its proper divisors sum to 371,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209B8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
65,331
Square (n²)
17,838,273,600
Cube (n³)
2,382,479,822,016,000
Divisor count
96
σ(n) — sum of divisors
505,440
φ(n) — Euler's totient
29,952
Sum of prime factors
77

Primality

Prime factorization: 2 3 × 3 2 × 5 × 7 × 53

Nearest primes: 133,559 (−1) · 133,571 (+11)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 18 · 20 · 21 · 24 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 53 · 56 · 60 · 63 · 70 · 72 · 84 · 90 · 105 · 106 · 120 · 126 · 140 · 159 · 168 · 180 · 210 · 212 · 252 · 265 · 280 · 315 · 318 · 360 · 371 · 420 · 424 · 477 · 504 · 530 · 630 · 636 · 742 · 795 · 840 · 954 · 1060 · 1113 · 1260 · 1272 · 1484 · 1590 · 1855 · 1908 · 2120 · 2226 · 2385 · 2520 · 2968 · 3180 · 3339 · 3710 · 3816 · 4452 · 4770 · 5565 · 6360 · 6678 · 7420 · 8904 · 9540 · 11130 · 13356 · 14840 · 16695 · 19080 · 22260 · 26712 · 33390 · 44520 · 66780 (half) · 133560
Aliquot sum (sum of proper divisors): 371,880
Factor pairs (a × b = 133,560)
1 × 133560
2 × 66780
3 × 44520
4 × 33390
5 × 26712
6 × 22260
7 × 19080
8 × 16695
9 × 14840
10 × 13356
12 × 11130
14 × 9540
15 × 8904
18 × 7420
20 × 6678
21 × 6360
24 × 5565
28 × 4770
30 × 4452
35 × 3816
36 × 3710
40 × 3339
42 × 3180
45 × 2968
53 × 2520
56 × 2385
60 × 2226
63 × 2120
70 × 1908
72 × 1855
84 × 1590
90 × 1484
105 × 1272
106 × 1260
120 × 1113
126 × 1060
140 × 954
159 × 840
168 × 795
180 × 742
210 × 636
212 × 630
252 × 530
265 × 504
280 × 477
315 × 424
318 × 420
360 × 371
First multiples
133,560 · 267,120 (double) · 400,680 · 534,240 · 667,800 · 801,360 · 934,920 · 1,068,480 · 1,202,040 · 1,335,600

Sums & aliquot sequence

As consecutive integers: 44,519 + 44,520 + 44,521 26,710 + 26,711 + 26,712 + 26,713 + 26,714 19,077 + 19,078 + … + 19,083 14,836 + 14,837 + … + 14,844
Aliquot sequence: 133,560 371,880 837,900 2,378,040 6,261,960 12,524,280 25,048,920 55,883,400 117,357,000 248,806,200 522,494,880 1,128,609,120 2,694,694,560 5,804,136,480 13,355,927,520 — keeps growing

Continued fraction of √n

√133,560 = [365; (2, 5, 1, 1, 5, 1, 1, 1, 1, 80, 1, 1, 1, 1, 5, 1, 1, 5, 2, 730)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred sixty
Ordinal
133560th
Binary
100000100110111000
Octal
404670
Hexadecimal
0x209B8
Base64
Agm4
One's complement
4,294,833,735 (32-bit)
Scientific notation
1.3356 × 10⁵
As a duration
133,560 s = 1 day, 13 hours, 6 minutes
In other bases
ternary (3) 20210012200
quaternary (4) 200212320
quinary (5) 13233220
senary (6) 2510200
septenary (7) 1064250
nonary (9) 223180
undecimal (11) 91389
duodecimal (12) 65360
tridecimal (13) 48a3b
tetradecimal (14) 36960
pentadecimal (15) 29890

As an angle

133,560° = 371 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγφξʹ
Mayan (base 20)
𝋰·𝋭·𝋲·𝋠
Chinese
一十三萬三千五百六十
Chinese (financial)
壹拾參萬參仟伍佰陸拾
In other modern scripts
Eastern Arabic ١٣٣٥٦٠ Devanagari १३३५६० Bengali ১৩৩৫৬০ Tamil ௧௩௩௫௬௦ Thai ๑๓๓๕๖๐ Tibetan ༡༣༣༥༦༠ Khmer ១៣៣៥៦០ Lao ໑໓໓໕໖໐ Burmese ၁၃၃၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133560, here are decompositions:

  • 17 + 133543 = 133560
  • 19 + 133541 = 133560
  • 41 + 133519 = 133560
  • 61 + 133499 = 133560
  • 67 + 133493 = 133560
  • 79 + 133481 = 133560
  • 109 + 133451 = 133560
  • 113 + 133447 = 133560

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦸
CJK Unified Ideograph-209B8
U+209B8
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 B8 (4 bytes).

Hex color
#0209B8
RGB(2, 9, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.184.

Address
0.2.9.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.184

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 133,560 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.