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133,740

133,740 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.).

133,740 (one hundred thirty-three thousand seven hundred forty) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 5 × 743. Its proper divisors sum to 272,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A6C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
47,331
Square (n²)
17,886,387,600
Cube (n³)
2,392,125,477,624,000
Divisor count
36
σ(n) — sum of divisors
406,224
φ(n) — Euler's totient
35,616
Sum of prime factors
758

Primality

Prime factorization: 2 2 × 3 2 × 5 × 743

Nearest primes: 133,733 (−7) · 133,769 (+29)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 18 · 20 · 30 · 36 · 45 · 60 · 90 · 180 · 743 · 1486 · 2229 · 2972 · 3715 · 4458 · 6687 · 7430 · 8916 · 11145 · 13374 · 14860 · 22290 · 26748 · 33435 · 44580 · 66870 (half) · 133740
Aliquot sum (sum of proper divisors): 272,484
Factor pairs (a × b = 133,740)
1 × 133740
2 × 66870
3 × 44580
4 × 33435
5 × 26748
6 × 22290
9 × 14860
10 × 13374
12 × 11145
15 × 8916
18 × 7430
20 × 6687
30 × 4458
36 × 3715
45 × 2972
60 × 2229
90 × 1486
180 × 743
First multiples
133,740 · 267,480 (double) · 401,220 · 534,960 · 668,700 · 802,440 · 936,180 · 1,069,920 · 1,203,660 · 1,337,400

Sums & aliquot sequence

As consecutive integers: 44,579 + 44,580 + 44,581 26,746 + 26,747 + 26,748 + 26,749 + 26,750 16,714 + 16,715 + … + 16,721 14,856 + 14,857 + … + 14,864
Aliquot sequence: 133,740 272,484 465,253 35,867 4,453 135 105 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√133,740 = [365; (1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 6, 2, 2, 1, 1, 1, 2, 1, 3, 2, 1, 3, 3, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred forty
Ordinal
133740th
Binary
100000101001101100
Octal
405154
Hexadecimal
0x20A6C
Base64
Agps
One's complement
4,294,833,555 (32-bit)
Scientific notation
1.3374 × 10⁵
As a duration
133,740 s = 1 day, 13 hours, 9 minutes
In other bases
ternary (3) 20210110100
quaternary (4) 200221230
quinary (5) 13234430
senary (6) 2511100
septenary (7) 1064625
nonary (9) 223410
undecimal (11) 91532
duodecimal (12) 65490
tridecimal (13) 48b49
tetradecimal (14) 36a4c
pentadecimal (15) 29960

As an angle

133,740° = 371 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγψμʹ
Mayan (base 20)
𝋰·𝋮·𝋧·𝋠
Chinese
一十三萬三千七百四十
Chinese (financial)
壹拾參萬參仟柒佰肆拾
In other modern scripts
Eastern Arabic ١٣٣٧٤٠ Devanagari १३३७४० Bengali ১৩৩৭৪০ Tamil ௧௩௩௭௪௦ Thai ๑๓๓๗๔๐ Tibetan ༡༣༣༧༤༠ Khmer ១៣៣៧៤០ Lao ໑໓໓໗໔໐ Burmese ၁၃၃၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133740, here are decompositions:

  • 7 + 133733 = 133740
  • 17 + 133723 = 133740
  • 23 + 133717 = 133740
  • 29 + 133711 = 133740
  • 31 + 133709 = 133740
  • 43 + 133697 = 133740
  • 67 + 133673 = 133740
  • 71 + 133669 = 133740

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩬
CJK Unified Ideograph-20A6C
U+20A6C
Other letter (Lo)

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

Hex color
#020A6C
RGB(2, 10, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.108.

Address
0.2.10.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.108

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 133,740 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°.