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134,640

134,640 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.).

134,640 (one hundred thirty-four thousand six hundred forty) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5 × 11 × 17. Its proper divisors sum to 387,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20DF0.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
46,431
Square (n²)
18,127,929,600
Cube (n³)
2,440,744,441,344,000
Divisor count
120
σ(n) — sum of divisors
522,288
φ(n) — Euler's totient
30,720
Sum of prime factors
47

Primality

Prime factorization: 2 4 × 3 2 × 5 × 11 × 17

Nearest primes: 134,639 (−1) · 134,669 (+29)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 11 · 12 · 15 · 16 · 17 · 18 · 20 · 22 · 24 · 30 · 33 · 34 · 36 · 40 · 44 · 45 · 48 · 51 · 55 · 60 · 66 · 68 · 72 · 80 · 85 · 88 · 90 · 99 · 102 · 110 · 120 · 132 · 136 · 144 · 153 · 165 · 170 · 176 · 180 · 187 · 198 · 204 · 220 · 240 · 255 · 264 · 272 · 306 · 330 · 340 · 360 · 374 · 396 · 408 · 440 · 495 · 510 · 528 · 561 · 612 · 660 · 680 · 720 · 748 · 765 · 792 · 816 · 880 · 935 · 990 · 1020 · 1122 · 1224 · 1320 · 1360 · 1496 · 1530 · 1584 · 1683 · 1870 · 1980 · 2040 · 2244 · 2448 · 2640 · 2805 · 2992 · 3060 · 3366 · 3740 · 3960 · 4080 · 4488 · 5610 · 6120 · 6732 · 7480 · 7920 · 8415 · 8976 · 11220 · 12240 · 13464 · 14960 · 16830 · 22440 · 26928 · 33660 · 44880 · 67320 (half) · 134640
Aliquot sum (sum of proper divisors): 387,648
Factor pairs (a × b = 134,640)
1 × 134640
2 × 67320
3 × 44880
4 × 33660
5 × 26928
6 × 22440
8 × 16830
9 × 14960
10 × 13464
11 × 12240
12 × 11220
15 × 8976
16 × 8415
17 × 7920
18 × 7480
20 × 6732
22 × 6120
24 × 5610
30 × 4488
33 × 4080
34 × 3960
36 × 3740
40 × 3366
44 × 3060
45 × 2992
48 × 2805
51 × 2640
55 × 2448
60 × 2244
66 × 2040
68 × 1980
72 × 1870
80 × 1683
85 × 1584
88 × 1530
90 × 1496
99 × 1360
102 × 1320
110 × 1224
120 × 1122
132 × 1020
136 × 990
144 × 935
153 × 880
165 × 816
170 × 792
176 × 765
180 × 748
187 × 720
198 × 680
204 × 660
220 × 612
240 × 561
255 × 528
264 × 510
272 × 495
306 × 440
330 × 408
340 × 396
360 × 374
First multiples
134,640 · 269,280 (double) · 403,920 · 538,560 · 673,200 · 807,840 · 942,480 · 1,077,120 · 1,211,760 · 1,346,400

Sums & aliquot sequence

As consecutive integers: 44,879 + 44,880 + 44,881 26,926 + 26,927 + 26,928 + 26,929 + 26,930 14,956 + 14,957 + … + 14,964 12,235 + 12,236 + … + 12,245
Aliquot sequence: 134,640 387,648 725,126 423,994 212,000 318,712 278,888 252,472 294,728 372,472 325,928 291,832 255,368 229,012 229,068 462,084 770,364 — unresolved within range

Continued fraction of √n

√134,640 = [366; (1, 13, 1, 44, 1, 13, 1, 732)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand six hundred forty
Ordinal
134640th
Binary
100000110111110000
Octal
406760
Hexadecimal
0x20DF0
Base64
Ag3w
One's complement
4,294,832,655 (32-bit)
Scientific notation
1.3464 × 10⁵
As a duration
134,640 s = 1 day, 13 hours, 24 minutes
In other bases
ternary (3) 20211200200
quaternary (4) 200313300
quinary (5) 13302030
senary (6) 2515200
septenary (7) 1100352
nonary (9) 224620
undecimal (11) 92180
duodecimal (12) 65b00
tridecimal (13) 4938c
tetradecimal (14) 370d2
pentadecimal (15) 29d60

As an angle

134,640° = 374 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλδχμʹ
Mayan (base 20)
𝋰·𝋰·𝋬·𝋠
Chinese
一十三萬四千六百四十
Chinese (financial)
壹拾參萬肆仟陸佰肆拾
In other modern scripts
Eastern Arabic ١٣٤٦٤٠ Devanagari १३४६४० Bengali ১৩৪৬৪০ Tamil ௧௩௪௬௪௦ Thai ๑๓๔๖๔๐ Tibetan ༡༣༤༦༤༠ Khmer ១៣៤៦៤០ Lao ໑໓໔໖໔໐ Burmese ၁၃၄၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 134640, here are decompositions:

  • 31 + 134609 = 134640
  • 43 + 134597 = 134640
  • 47 + 134593 = 134640
  • 53 + 134587 = 134640
  • 59 + 134581 = 134640
  • 127 + 134513 = 134640
  • 137 + 134503 = 134640
  • 151 + 134489 = 134640

Showing the first eight; more decompositions exist.

Unicode codepoint
𠷰
CJK Unified Ideograph-20Df0
U+20DF0
Other letter (Lo)

UTF-8 encoding: F0 A0 B7 B0 (4 bytes).

Hex color
#020DF0
RGB(2, 13, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.240.

Address
0.2.13.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.240

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 134,640 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 134640 first appears in π at position 407,052 of the decimal expansion (the 407,052ordinal-suffix:nd 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°.