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133,530

133,530 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.).

133,530 (one hundred thirty-three thousand five hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,451. Its proper divisors sum to 187,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2099A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
35,331
Square (n²)
17,830,260,900
Cube (n³)
2,380,874,737,977,000
Divisor count
16
σ(n) — sum of divisors
320,544
φ(n) — Euler's totient
35,600
Sum of prime factors
4,461

Primality

Prime factorization: 2 × 3 × 5 × 4451

Nearest primes: 133,519 (−11) · 133,541 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4451 · 8902 · 13353 · 22255 · 26706 · 44510 · 66765 (half) · 133530
Aliquot sum (sum of proper divisors): 187,014
Factor pairs (a × b = 133,530)
1 × 133530
2 × 66765
3 × 44510
5 × 26706
6 × 22255
10 × 13353
15 × 8902
30 × 4451
First multiples
133,530 · 267,060 (double) · 400,590 · 534,120 · 667,650 · 801,180 · 934,710 · 1,068,240 · 1,201,770 · 1,335,300

Sums & aliquot sequence

As consecutive integers: 44,509 + 44,510 + 44,511 33,381 + 33,382 + 33,383 + 33,384 26,704 + 26,705 + 26,706 + 26,707 + 26,708 11,122 + 11,123 + … + 11,133
Aliquot sequence: 133,530 187,014 193,146 193,158 313,002 365,208 547,872 1,004,448 1,632,480 3,810,720 8,926,368 17,200,992 28,204,368 44,978,448 71,792,848 67,305,826 48,075,614 — unresolved within range

Continued fraction of √n

√133,530 = [365; (2, 2, 1, 1, 7, 9, 8, 2, 1, 1, 2, 1, 9, 6, 2, 12, 1, 4, 1, 2, 1, 5, 3, 3, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand five hundred thirty
Ordinal
133530th
Binary
100000100110011010
Octal
404632
Hexadecimal
0x2099A
Base64
Agma
One's complement
4,294,833,765 (32-bit)
Scientific notation
1.3353 × 10⁵
As a duration
133,530 s = 1 day, 13 hours, 5 minutes, 30 seconds
In other bases
ternary (3) 20210011120
quaternary (4) 200212122
quinary (5) 13233110
senary (6) 2510110
septenary (7) 1064205
nonary (9) 223146
undecimal (11) 91361
duodecimal (12) 65336
tridecimal (13) 48a17
tetradecimal (14) 3693c
pentadecimal (15) 29870

As an angle

133,530° = 370 × 360° + 330°
330° ≈ 5.76 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλγφλʹ
Mayan (base 20)
𝋰·𝋭·𝋰·𝋪
Chinese
一十三萬三千五百三十
Chinese (financial)
壹拾參萬參仟伍佰參拾
In other modern scripts
Eastern Arabic ١٣٣٥٣٠ Devanagari १३३५३० Bengali ১৩৩৫৩০ Tamil ௧௩௩௫௩௦ Thai ๑๓๓๕๓๐ Tibetan ༡༣༣༥༣༠ Khmer ១៣៣៥៣០ Lao ໑໓໓໕໓໐ Burmese ၁၃၃၅၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133530, here are decompositions:

  • 11 + 133519 = 133530
  • 31 + 133499 = 133530
  • 37 + 133493 = 133530
  • 79 + 133451 = 133530
  • 83 + 133447 = 133530
  • 113 + 133417 = 133530
  • 127 + 133403 = 133530
  • 139 + 133391 = 133530

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦚
CJK Unified Ideograph-2099A
U+2099A
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 9A (4 bytes).

Hex color
#02099A
RGB(2, 9, 154)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.154.

Address
0.2.9.154
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.154

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 133,530 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 133530 first appears in π at position 634,411 of the decimal expansion (the 634,411ordinal-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°.