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133,792

133,792 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.).

133,792 (one hundred thirty-three thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 37 × 113. Its proper divisors sum to 139,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20AA0.

Abundant Number Odious Number Pernicious Number Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,134
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
297,331
Square (n²)
17,900,299,264
Cube (n³)
2,394,916,839,129,088
Divisor count
24
σ(n) — sum of divisors
272,916
φ(n) — Euler's totient
64,512
Sum of prime factors
160

Primality

Prime factorization: 2 5 × 37 × 113

Nearest primes: 133,781 (−11) · 133,801 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 37 · 74 · 113 · 148 · 226 · 296 · 452 · 592 · 904 · 1184 · 1808 · 3616 · 4181 · 8362 · 16724 · 33448 · 66896 (half) · 133792
Aliquot sum (sum of proper divisors): 139,124
Factor pairs (a × b = 133,792)
1 × 133792
2 × 66896
4 × 33448
8 × 16724
16 × 8362
32 × 4181
37 × 3616
74 × 1808
113 × 1184
148 × 904
226 × 592
296 × 452
First multiples
133,792 · 267,584 (double) · 401,376 · 535,168 · 668,960 · 802,752 · 936,544 · 1,070,336 · 1,204,128 · 1,337,920

Sums & aliquot sequence

As a sum of two squares: 36² + 364² = 84² + 356²
As consecutive integers: 3,598 + 3,599 + … + 3,634 2,059 + 2,060 + … + 2,122 1,128 + 1,129 + … + 1,240
Aliquot sequence: 133,792 139,124 104,350 89,834 44,920 56,240 85,120 159,680 221,320 323,000 519,400 911,870 755,218 420,632 368,068 337,532 298,684 — unresolved within range

Continued fraction of √n

√133,792 = [365; (1, 3, 2, 6, 11, 2, 5, 3, 1, 1, 4, 1, 1, 19, 1, 3, 2, 1, 1, 1, 5, 1, 25, 3, …)]

Representations

In words
one hundred thirty-three thousand seven hundred ninety-two
Ordinal
133792nd
Binary
100000101010100000
Octal
405240
Hexadecimal
0x20AA0
Base64
Agqg
One's complement
4,294,833,503 (32-bit)
Scientific notation
1.33792 × 10⁵
As a duration
133,792 s = 1 day, 13 hours, 9 minutes, 52 seconds
In other bases
ternary (3) 20210112021
quaternary (4) 200222200
quinary (5) 13240132
senary (6) 2511224
septenary (7) 1065031
nonary (9) 223467
undecimal (11) 9157a
duodecimal (12) 65514
tridecimal (13) 48b89
tetradecimal (14) 36a88
pentadecimal (15) 29997

As an angle

133,792° = 371 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλγψϟβʹ
Mayan (base 20)
𝋰·𝋮·𝋩·𝋬
Chinese
一十三萬三千七百九十二
Chinese (financial)
壹拾參萬參仟柒佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٣٧٩٢ Devanagari १३३७९२ Bengali ১৩৩৭৯২ Tamil ௧௩௩௭௯௨ Thai ๑๓๓๗๙๒ Tibetan ༡༣༣༧༩༢ Khmer ១៣៣៧៩២ Lao ໑໓໓໗໙໒ Burmese ၁၃၃၇၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133792, here are decompositions:

  • 11 + 133781 = 133792
  • 23 + 133769 = 133792
  • 59 + 133733 = 133792
  • 83 + 133709 = 133792
  • 101 + 133691 = 133792
  • 233 + 133559 = 133792
  • 251 + 133541 = 133792
  • 293 + 133499 = 133792

Showing the first eight; more decompositions exist.

Unicode codepoint
𠪠
CJK Unified Ideograph-20Aa0
U+20AA0
Other letter (Lo)

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

Hex color
#020AA0
RGB(2, 10, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.160.

Address
0.2.10.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.160

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 133,792 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