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133,028

133,028 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.).

133,028 (one hundred thirty-three thousand twenty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,751. Its proper divisors sum to 133,084, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207A4.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
820,331
Square (n²)
17,696,448,784
Cube (n³)
2,354,123,188,837,952
Divisor count
12
σ(n) — sum of divisors
266,112
φ(n) — Euler's totient
57,000
Sum of prime factors
4,762

Primality

Prime factorization: 2 2 × 7 × 4751

Nearest primes: 133,013 (−15) · 133,033 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4751 · 9502 · 19004 · 33257 · 66514 (half) · 133028
Aliquot sum (sum of proper divisors): 133,084
Factor pairs (a × b = 133,028)
1 × 133028
2 × 66514
4 × 33257
7 × 19004
14 × 9502
28 × 4751
First multiples
133,028 · 266,056 (double) · 399,084 · 532,112 · 665,140 · 798,168 · 931,196 · 1,064,224 · 1,197,252 · 1,330,280

Sums & aliquot sequence

As consecutive integers: 19,001 + 19,002 + … + 19,007 16,625 + 16,626 + … + 16,632 2,348 + 2,349 + … + 2,403
Aliquot sequence: 133,028 133,084 141,316 149,884 158,564 164,626 143,534 76,906 38,456 47,944 49,076 36,814 19,346 11,434 5,720 9,400 12,920 — unresolved within range

Continued fraction of √n

√133,028 = [364; (1, 2, 1, 2, 2, 1, 1, 1, 2, 16, 5, 24, 1, 21, 1, 5, 13, 1, 6, 6, 1, 1, 4, 1, …)]

Representations

In words
one hundred thirty-three thousand twenty-eight
Ordinal
133028th
Binary
100000011110100100
Octal
403644
Hexadecimal
0x207A4
Base64
Agek
One's complement
4,294,834,267 (32-bit)
Scientific notation
1.33028 × 10⁵
As a duration
133,028 s = 1 day, 12 hours, 57 minutes, 8 seconds
In other bases
ternary (3) 20202110222
quaternary (4) 200132210
quinary (5) 13224103
senary (6) 2503512
septenary (7) 1062560
nonary (9) 222428
undecimal (11) 90a45
duodecimal (12) 64b98
tridecimal (13) 4871c
tetradecimal (14) 366a0
pentadecimal (15) 29638

As an angle

133,028° = 369 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγκηʹ
Mayan (base 20)
𝋰·𝋬·𝋫·𝋨
Chinese
一十三萬三千零二十八
Chinese (financial)
壹拾參萬參仟零貳拾捌
In other modern scripts
Eastern Arabic ١٣٣٠٢٨ Devanagari १३३०२८ Bengali ১৩৩০২৮ Tamil ௧௩௩௦௨௮ Thai ๑๓๓๐๒๘ Tibetan ༡༣༣༠༢༨ Khmer ១៣៣០២៨ Lao ໑໓໓໐໒໘ Burmese ၁၃၃၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133028, here are decompositions:

  • 61 + 132967 = 133028
  • 67 + 132961 = 133028
  • 79 + 132949 = 133028
  • 211 + 132817 = 133028
  • 271 + 132757 = 133028
  • 277 + 132751 = 133028
  • 307 + 132721 = 133028
  • 331 + 132697 = 133028

Showing the first eight; more decompositions exist.

Unicode codepoint
𠞤
CJK Unified Ideograph-207A4
U+207A4
Other letter (Lo)

UTF-8 encoding: F0 A0 9E A4 (4 bytes).

Hex color
#0207A4
RGB(2, 7, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.164.

Address
0.2.7.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.164

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 133,028 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 133028 first appears in π at position 791,782 of the decimal expansion (the 791,782ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.