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133,620

133,620 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.).

133,620 (one hundred thirty-three thousand six hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 17 × 131. Its proper divisors sum to 265,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x209F4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
26,331
Square (n²)
17,854,304,400
Cube (n³)
2,385,692,153,928,000
Divisor count
48
σ(n) — sum of divisors
399,168
φ(n) — Euler's totient
33,280
Sum of prime factors
160

Primality

Prime factorization: 2 2 × 3 × 5 × 17 × 131

Nearest primes: 133,597 (−23) · 133,631 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 17 · 20 · 30 · 34 · 51 · 60 · 68 · 85 · 102 · 131 · 170 · 204 · 255 · 262 · 340 · 393 · 510 · 524 · 655 · 786 · 1020 · 1310 · 1572 · 1965 · 2227 · 2620 · 3930 · 4454 · 6681 · 7860 · 8908 · 11135 · 13362 · 22270 · 26724 · 33405 · 44540 · 66810 (half) · 133620
Aliquot sum (sum of proper divisors): 265,548
Factor pairs (a × b = 133,620)
1 × 133620
2 × 66810
3 × 44540
4 × 33405
5 × 26724
6 × 22270
10 × 13362
12 × 11135
15 × 8908
17 × 7860
20 × 6681
30 × 4454
34 × 3930
51 × 2620
60 × 2227
68 × 1965
85 × 1572
102 × 1310
131 × 1020
170 × 786
204 × 655
255 × 524
262 × 510
340 × 393
First multiples
133,620 · 267,240 (double) · 400,860 · 534,480 · 668,100 · 801,720 · 935,340 · 1,068,960 · 1,202,580 · 1,336,200

Sums & aliquot sequence

As consecutive integers: 44,539 + 44,540 + 44,541 26,722 + 26,723 + 26,724 + 26,725 + 26,726 16,699 + 16,700 + … + 16,706 8,901 + 8,902 + … + 8,915
Aliquot sequence: 133,620 265,548 354,092 265,576 239,324 217,636 163,234 96,074 62,728 54,902 28,594 18,440 23,140 29,780 32,800 49,226 25,558 — unresolved within range

Continued fraction of √n

√133,620 = [365; (1, 1, 5, 1, 1, 1, 4, 14, 1, 2, 2, 1, 1, 2, 1, 44, 1, 33, 1, 5, 14, 5, 1, 33, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand six hundred twenty
Ordinal
133620th
Binary
100000100111110100
Octal
404764
Hexadecimal
0x209F4
Base64
Agn0
One's complement
4,294,833,675 (32-bit)
Scientific notation
1.3362 × 10⁵
As a duration
133,620 s = 1 day, 13 hours, 7 minutes
In other bases
ternary (3) 20210021220
quaternary (4) 200213310
quinary (5) 13233440
senary (6) 2510340
septenary (7) 1064364
nonary (9) 223256
undecimal (11) 91433
duodecimal (12) 653b0
tridecimal (13) 48a86
tetradecimal (14) 369a4
pentadecimal (15) 298d0

As an angle

133,620° = 371 × 360° + 60°
60° ≈ 1.047 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρλγχκʹ
Mayan (base 20)
𝋰·𝋮·𝋡·𝋠
Chinese
一十三萬三千六百二十
Chinese (financial)
壹拾參萬參仟陸佰貳拾
In other modern scripts
Eastern Arabic ١٣٣٦٢٠ Devanagari १३३६२० Bengali ১৩৩৬২০ Tamil ௧௩௩௬௨௦ Thai ๑๓๓๖๒๐ Tibetan ༡༣༣༦༢༠ Khmer ១៣៣៦២០ Lao ໑໓໓໖໒໐ Burmese ၁၃၃၆၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133620, here are decompositions:

  • 23 + 133597 = 133620
  • 37 + 133583 = 133620
  • 61 + 133559 = 133620
  • 79 + 133541 = 133620
  • 101 + 133519 = 133620
  • 127 + 133493 = 133620
  • 139 + 133481 = 133620
  • 173 + 133447 = 133620

Showing the first eight; more decompositions exist.

Unicode codepoint
𠧴
CJK Unified Ideograph-209F4
U+209F4
Other letter (Lo)

UTF-8 encoding: F0 A0 A7 B4 (4 bytes).

Hex color
#0209F4
RGB(2, 9, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.244.

Address
0.2.9.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.244

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 133,620 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 133620 first appears in π at position 564,111 of the decimal expansion (the 564,111ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.