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133,070

133,070 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.).

133,070 (one hundred thirty-three thousand seventy) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 1,901. Its proper divisors sum to 140,818, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x207CE.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Squarefree Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
70,331
Square (n²)
17,707,624,900
Cube (n³)
2,356,353,645,443,000
Divisor count
16
σ(n) — sum of divisors
273,888
φ(n) — Euler's totient
45,600
Sum of prime factors
1,915

Primality

Prime factorization: 2 × 5 × 7 × 1901

Nearest primes: 133,069 (−1) · 133,073 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 70 · 1901 · 3802 · 9505 · 13307 · 19010 · 26614 · 66535 (half) · 133070
Aliquot sum (sum of proper divisors): 140,818
Factor pairs (a × b = 133,070)
1 × 133070
2 × 66535
5 × 26614
7 × 19010
10 × 13307
14 × 9505
35 × 3802
70 × 1901
First multiples
133,070 · 266,140 (double) · 399,210 · 532,280 · 665,350 · 798,420 · 931,490 · 1,064,560 · 1,197,630 · 1,330,700

Sums & aliquot sequence

As consecutive integers: 33,266 + 33,267 + 33,268 + 33,269 26,612 + 26,613 + 26,614 + 26,615 + 26,616 19,007 + 19,008 + … + 19,013 6,644 + 6,645 + … + 6,663
Aliquot sequence: 133,070 140,818 72,122 36,064 50,120 79,480 99,440 155,008 199,952 187,486 115,418 57,712 54,136 49,904 46,816 74,144 93,184 — unresolved within range

Continued fraction of √n

√133,070 = [364; (1, 3, 1, 2, 2, 2, 1, 65, 1, 1, 1, 1, 1, 1, 2, 1, 12, 1, 1, 5, 1, 1, 22, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seventy
Ordinal
133070th
Binary
100000011111001110
Octal
403716
Hexadecimal
0x207CE
Base64
AgfO
One's complement
4,294,834,225 (32-bit)
Scientific notation
1.3307 × 10⁵
As a duration
133,070 s = 1 day, 12 hours, 57 minutes, 50 seconds
In other bases
ternary (3) 20202112112
quaternary (4) 200133032
quinary (5) 13224240
senary (6) 2504022
septenary (7) 1062650
nonary (9) 222475
undecimal (11) 90a83
duodecimal (12) 65012
tridecimal (13) 48752
tetradecimal (14) 366d0
pentadecimal (15) 29665

As an angle

133,070° = 369 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλγοʹ
Mayan (base 20)
𝋰·𝋬·𝋭·𝋪
Chinese
一十三萬三千零七十
Chinese (financial)
壹拾參萬參仟零柒拾
In other modern scripts
Eastern Arabic ١٣٣٠٧٠ Devanagari १३३०७० Bengali ১৩৩০৭০ Tamil ௧௩௩௦௭௦ Thai ๑๓๓๐๗๐ Tibetan ༡༣༣༠༧༠ Khmer ១៣៣០៧០ Lao ໑໓໓໐໗໐ Burmese ၁၃၃၀၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133070, here are decompositions:

  • 19 + 133051 = 133070
  • 31 + 133039 = 133070
  • 37 + 133033 = 133070
  • 103 + 132967 = 133070
  • 109 + 132961 = 133070
  • 211 + 132859 = 133070
  • 307 + 132763 = 133070
  • 313 + 132757 = 133070

Showing the first eight; more decompositions exist.

Unicode codepoint
𠟎
CJK Unified Ideograph-207Ce
U+207CE
Other letter (Lo)

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

Hex color
#0207CE
RGB(2, 7, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.7.206.

Address
0.2.7.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.7.206

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 133,070 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 133070 first appears in π at position 919,041 of the decimal expansion (the 919,041ordinal-suffix:st 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.