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136,740

136,740 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.).

136,740 (one hundred thirty-six thousand seven hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 43 × 53. Its proper divisors sum to 262,428, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21624.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
47,631
Square (n²)
18,697,827,600
Cube (n³)
2,556,740,946,024,000
Divisor count
48
σ(n) — sum of divisors
399,168
φ(n) — Euler's totient
34,944
Sum of prime factors
108

Primality

Prime factorization: 2 2 × 3 × 5 × 43 × 53

Nearest primes: 136,739 (−1) · 136,751 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 43 · 53 · 60 · 86 · 106 · 129 · 159 · 172 · 212 · 215 · 258 · 265 · 318 · 430 · 516 · 530 · 636 · 645 · 795 · 860 · 1060 · 1290 · 1590 · 2279 · 2580 · 3180 · 4558 · 6837 · 9116 · 11395 · 13674 · 22790 · 27348 · 34185 · 45580 · 68370 (half) · 136740
Aliquot sum (sum of proper divisors): 262,428
Factor pairs (a × b = 136,740)
1 × 136740
2 × 68370
3 × 45580
4 × 34185
5 × 27348
6 × 22790
10 × 13674
12 × 11395
15 × 9116
20 × 6837
30 × 4558
43 × 3180
53 × 2580
60 × 2279
86 × 1590
106 × 1290
129 × 1060
159 × 860
172 × 795
212 × 645
215 × 636
258 × 530
265 × 516
318 × 430
First multiples
136,740 · 273,480 (double) · 410,220 · 546,960 · 683,700 · 820,440 · 957,180 · 1,093,920 · 1,230,660 · 1,367,400

Sums & aliquot sequence

As consecutive integers: 45,579 + 45,580 + 45,581 27,346 + 27,347 + 27,348 + 27,349 + 27,350 17,089 + 17,090 + … + 17,096 9,109 + 9,110 + … + 9,123
Aliquot sequence: 136,740 262,428 382,692 510,284 442,276 331,714 165,860 182,488 159,692 153,124 114,850 98,864 99,040 135,320 188,680 248,720 329,740 — unresolved within range

Continued fraction of √n

√136,740 = [369; (1, 3, 1, 1, 1, 1, 1, 10, 1, 14, 5, 1, 1, 2, 1, 2, 5, 1, 5, 1, 1, 7, 6, 12, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-six thousand seven hundred forty
Ordinal
136740th
Binary
100001011000100100
Octal
413044
Hexadecimal
0x21624
Base64
AhYk
One's complement
4,294,830,555 (32-bit)
Scientific notation
1.3674 × 10⁵
As a duration
136,740 s = 1 day, 13 hours, 59 minutes
In other bases
ternary (3) 20221120110
quaternary (4) 201120210
quinary (5) 13333430
senary (6) 2533020
septenary (7) 1106442
nonary (9) 227513
undecimal (11) 9380a
duodecimal (12) 67170
tridecimal (13) 4a316
tetradecimal (14) 37b92
pentadecimal (15) 2a7b0

As an angle

136,740° = 379 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλϛψμʹ
Mayan (base 20)
𝋱·𝋡·𝋱·𝋠
Chinese
一十三萬六千七百四十
Chinese (financial)
壹拾參萬陸仟柒佰肆拾
In other modern scripts
Eastern Arabic ١٣٦٧٤٠ Devanagari १३६७४० Bengali ১৩৬৭৪০ Tamil ௧௩௬௭௪௦ Thai ๑๓๖๗๔๐ Tibetan ༡༣༦༧༤༠ Khmer ១៣៦៧៤០ Lao ໑໓໖໗໔໐ Burmese ၁၃၆၇၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 136740, here are decompositions:

  • 7 + 136733 = 136740
  • 13 + 136727 = 136740
  • 29 + 136711 = 136740
  • 31 + 136709 = 136740
  • 47 + 136693 = 136740
  • 83 + 136657 = 136740
  • 89 + 136651 = 136740
  • 137 + 136603 = 136740

Showing the first eight; more decompositions exist.

Unicode codepoint
𡘤
CJK Unified Ideograph-21624
U+21624
Other letter (Lo)

UTF-8 encoding: F0 A1 98 A4 (4 bytes).

Hex color
#021624
RGB(2, 22, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.22.36.

Address
0.2.22.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.22.36

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 136,740 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 136740 first appears in π at position 126,006 of the decimal expansion (the 126,006ordinal-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°.