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133,720

133,720 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.).

133,720 (one hundred thirty-three thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 3,343. Its proper divisors sum to 167,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A58.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
27,331
Square (n²)
17,881,038,400
Cube (n³)
2,391,052,454,848,000
Divisor count
16
σ(n) — sum of divisors
300,960
φ(n) — Euler's totient
53,472
Sum of prime factors
3,354

Primality

Prime factorization: 2 3 × 5 × 3343

Nearest primes: 133,717 (−3) · 133,723 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 3343 · 6686 · 13372 · 16715 · 26744 · 33430 · 66860 (half) · 133720
Aliquot sum (sum of proper divisors): 167,240
Factor pairs (a × b = 133,720)
1 × 133720
2 × 66860
4 × 33430
5 × 26744
8 × 16715
10 × 13372
20 × 6686
40 × 3343
First multiples
133,720 · 267,440 (double) · 401,160 · 534,880 · 668,600 · 802,320 · 936,040 · 1,069,760 · 1,203,480 · 1,337,200

Sums & aliquot sequence

As consecutive integers: 26,742 + 26,743 + 26,744 + 26,745 + 26,746 8,350 + 8,351 + … + 8,365 1,632 + 1,633 + … + 1,711
Aliquot sequence: 133,720 167,240 222,640 371,072 428,608 449,724 695,364 927,180 2,157,300 5,342,220 12,580,020 26,417,484 40,621,852 32,047,108 27,334,424 28,078,696 27,666,044 — unresolved within range

Continued fraction of √n

√133,720 = [365; (1, 2, 9, 1, 29, 1, 1, 3, 13, 81, 5, 2, 1, 2, 1, 4, 3, 5, 1, 2, 1, 2, 1, 8, …)]

Representations

In words
one hundred thirty-three thousand seven hundred twenty
Ordinal
133720th
Binary
100000101001011000
Octal
405130
Hexadecimal
0x20A58
Base64
AgpY
One's complement
4,294,833,575 (32-bit)
Scientific notation
1.3372 × 10⁵
As a duration
133,720 s = 1 day, 13 hours, 8 minutes, 40 seconds
In other bases
ternary (3) 20210102121
quaternary (4) 200221120
quinary (5) 13234340
senary (6) 2511024
septenary (7) 1064566
nonary (9) 223377
undecimal (11) 91514
duodecimal (12) 65474
tridecimal (13) 48b32
tetradecimal (14) 36a36
pentadecimal (15) 2994a

As an angle

133,720° = 371 × 360° + 160°
160° ≈ 2.793 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλγψκʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋠
Chinese
一十三萬三千七百二十
Chinese (financial)
壹拾參萬參仟柒佰貳拾
In other modern scripts
Eastern Arabic ١٣٣٧٢٠ Devanagari १३३७२० Bengali ১৩৩৭২০ Tamil ௧௩௩௭௨௦ Thai ๑๓๓๗๒๐ Tibetan ༡༣༣༧༢༠ Khmer ១៣៣៧២០ Lao ໑໓໓໗໒໐ Burmese ၁၃၃၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133720, here are decompositions:

  • 3 + 133717 = 133720
  • 11 + 133709 = 133720
  • 23 + 133697 = 133720
  • 29 + 133691 = 133720
  • 47 + 133673 = 133720
  • 71 + 133649 = 133720
  • 89 + 133631 = 133720
  • 137 + 133583 = 133720

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩘
CJK Unified Ideograph-20A58
U+20A58
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 98 (4 bytes).

Hex color
#020A58
RGB(2, 10, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.88.

Address
0.2.10.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.88

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 133,720 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