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134,736

134,736 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.).

134,736 (one hundred thirty-four thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 7 × 401. Its proper divisors sum to 264,048, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20E50.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,512
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
637,431
Square (n²)
18,153,789,696
Cube (n³)
2,445,969,008,480,256
Divisor count
40
σ(n) — sum of divisors
398,784
φ(n) — Euler's totient
38,400
Sum of prime factors
419

Primality

Prime factorization: 2 4 × 3 × 7 × 401

Nearest primes: 134,731 (−5) · 134,741 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 · 336 · 401 · 802 · 1203 · 1604 · 2406 · 2807 · 3208 · 4812 · 5614 · 6416 · 8421 · 9624 · 11228 · 16842 · 19248 · 22456 · 33684 · 44912 · 67368 (half) · 134736
Aliquot sum (sum of proper divisors): 264,048
Factor pairs (a × b = 134,736)
1 × 134736
2 × 67368
3 × 44912
4 × 33684
6 × 22456
7 × 19248
8 × 16842
12 × 11228
14 × 9624
16 × 8421
21 × 6416
24 × 5614
28 × 4812
42 × 3208
48 × 2807
56 × 2406
84 × 1604
112 × 1203
168 × 802
336 × 401
First multiples
134,736 · 269,472 (double) · 404,208 · 538,944 · 673,680 · 808,416 · 943,152 · 1,077,888 · 1,212,624 · 1,347,360

Sums & aliquot sequence

As consecutive integers: 44,911 + 44,912 + 44,913 19,245 + 19,246 + … + 19,251 6,406 + 6,407 + … + 6,426 4,195 + 4,196 + … + 4,226
Aliquot sequence: 134,736 264,048 418,200 987,960 1,976,280 4,106,280 8,868,120 18,157,800 39,293,880 81,113,160 163,286,520 332,109,480 664,219,320 1,380,790,920 2,918,041,080 5,840,512,680 11,681,025,720 — keeps growing

Continued fraction of √n

√134,736 = [367; (15, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 1, 8, 2, 1, 1, 2, 1, 4, 1, 1, 10, 1, 11, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand seven hundred thirty-six
Ordinal
134736th
Binary
100000111001010000
Octal
407120
Hexadecimal
0x20E50
Base64
Ag5Q
One's complement
4,294,832,559 (32-bit)
Scientific notation
1.34736 × 10⁵
As a duration
134,736 s = 1 day, 13 hours, 25 minutes, 36 seconds
In other bases
ternary (3) 20211211020
quaternary (4) 200321100
quinary (5) 13302421
senary (6) 2515440
septenary (7) 1100550
nonary (9) 224736
undecimal (11) 92258
duodecimal (12) 65b80
tridecimal (13) 49434
tetradecimal (14) 37160
pentadecimal (15) 29dc6

As an angle

134,736° = 374 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδψλϛʹ
Mayan (base 20)
𝋰·𝋰·𝋰·𝋰
Chinese
一十三萬四千七百三十六
Chinese (financial)
壹拾參萬肆仟柒佰參拾陸
In other modern scripts
Eastern Arabic ١٣٤٧٣٦ Devanagari १३४७३६ Bengali ১৩৪৭৩৬ Tamil ௧௩௪௭௩௬ Thai ๑๓๔๗๓๖ Tibetan ༡༣༤༧༣༦ Khmer ១៣៤៧៣៦ Lao ໑໓໔໗໓໖ Burmese ၁၃၄၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134736, here are decompositions:

  • 5 + 134731 = 134736
  • 29 + 134707 = 134736
  • 37 + 134699 = 134736
  • 53 + 134683 = 134736
  • 59 + 134677 = 134736
  • 67 + 134669 = 134736
  • 97 + 134639 = 134736
  • 127 + 134609 = 134736

Showing the first eight; more decompositions exist.

Unicode codepoint
𠹐
CJK Unified Ideograph-20E50
U+20E50
Other letter (Lo)

UTF-8 encoding: F0 A0 B9 90 (4 bytes).

Hex color
#020E50
RGB(2, 14, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.80.

Address
0.2.14.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.80

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 134,736 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 134736 first appears in π at position 959,640 of the decimal expansion (the 959,640ordinal-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°.