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133,420

133,420 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.).

133,420 (one hundred thirty-three thousand four hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 953. Its proper divisors sum to 187,124, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2092C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
24,331
Recamán's sequence
a(35,500) = 133,420
Square (n²)
17,800,896,400
Cube (n³)
2,374,995,597,688,000
Divisor count
24
σ(n) — sum of divisors
320,544
φ(n) — Euler's totient
45,696
Sum of prime factors
969

Primality

Prime factorization: 2 2 × 5 × 7 × 953

Nearest primes: 133,417 (−3) · 133,439 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 7 · 10 · 14 · 20 · 28 · 35 · 70 · 140 · 953 · 1906 · 3812 · 4765 · 6671 · 9530 · 13342 · 19060 · 26684 · 33355 · 66710 (half) · 133420
Aliquot sum (sum of proper divisors): 187,124
Factor pairs (a × b = 133,420)
1 × 133420
2 × 66710
4 × 33355
5 × 26684
7 × 19060
10 × 13342
14 × 9530
20 × 6671
28 × 4765
35 × 3812
70 × 1906
140 × 953
First multiples
133,420 · 266,840 (double) · 400,260 · 533,680 · 667,100 · 800,520 · 933,940 · 1,067,360 · 1,200,780 · 1,334,200

Sums & aliquot sequence

As consecutive integers: 26,682 + 26,683 + 26,684 + 26,685 + 26,686 19,057 + 19,058 + … + 19,063 16,674 + 16,675 + … + 16,681 3,795 + 3,796 + … + 3,829
Aliquot sequence: 133,420 187,124 198,604 210,644 210,700 333,536 417,424 507,120 1,065,696 1,900,848 3,034,476 4,832,964 8,434,836 14,313,708 22,250,092 17,593,404 23,457,900 — unresolved within range

Continued fraction of √n

√133,420 = [365; (3, 1, 2, 1, 11, 1, 1, 1, 5, 2, 12, 1, 4, 1, 1, 1, 6, 2, 1, 1, 1, 5, 2, 5, …)]

Representations

In words
one hundred thirty-three thousand four hundred twenty
Ordinal
133420th
Binary
100000100100101100
Octal
404454
Hexadecimal
0x2092C
Base64
Agks
One's complement
4,294,833,875 (32-bit)
Scientific notation
1.3342 × 10⁵
As a duration
133,420 s = 1 day, 13 hours, 3 minutes, 40 seconds
In other bases
ternary (3) 20210000111
quaternary (4) 200210230
quinary (5) 13232140
senary (6) 2505404
septenary (7) 1063660
nonary (9) 223014
undecimal (11) 91271
duodecimal (12) 65264
tridecimal (13) 48961
tetradecimal (14) 368a0
pentadecimal (15) 297ea

As an angle

133,420° = 370 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλγυκʹ
Mayan (base 20)
𝋰·𝋭·𝋫·𝋠
Chinese
一十三萬三千四百二十
Chinese (financial)
壹拾參萬參仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٣٣٤٢٠ Devanagari १३३४२० Bengali ১৩৩৪২০ Tamil ௧௩௩௪௨௦ Thai ๑๓๓๔๒๐ Tibetan ༡༣༣༤༢༠ Khmer ១៣៣៤២០ Lao ໑໓໓໔໒໐ Burmese ၁၃၃၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133420, here are decompositions:

  • 3 + 133417 = 133420
  • 17 + 133403 = 133420
  • 29 + 133391 = 133420
  • 41 + 133379 = 133420
  • 71 + 133349 = 133420
  • 83 + 133337 = 133420
  • 101 + 133319 = 133420
  • 137 + 133283 = 133420

Showing the first eight; more decompositions exist.

Unicode codepoint
𠤬
CJK Unified Ideograph-2092C
U+2092C
Other letter (Lo)

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

Hex color
#02092C
RGB(2, 9, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.44.

Address
0.2.9.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.44

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 133,420 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 133420 first appears in π at position 466,530 of the decimal expansion (the 466,530ordinal-suffix:th 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