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170,640

170,640 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.).

170,640 (one hundred seventy thousand six hundred forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3³ × 5 × 79. Its proper divisors sum to 424,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29A90.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence 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
46,071
Recamán's sequence
a(470,007) = 170,640
Square (n²)
29,118,009,600
Cube (n³)
4,968,697,158,144,000
Divisor count
80
σ(n) — sum of divisors
595,200
φ(n) — Euler's totient
44,928
Sum of prime factors
101

Primality

Prime factorization: 2 4 × 3 3 × 5 × 79

Nearest primes: 170,633 (−7) · 170,641 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 27 · 30 · 36 · 40 · 45 · 48 · 54 · 60 · 72 · 79 · 80 · 90 · 108 · 120 · 135 · 144 · 158 · 180 · 216 · 237 · 240 · 270 · 316 · 360 · 395 · 432 · 474 · 540 · 632 · 711 · 720 · 790 · 948 · 1080 · 1185 · 1264 · 1422 · 1580 · 1896 · 2133 · 2160 · 2370 · 2844 · 3160 · 3555 · 3792 · 4266 · 4740 · 5688 · 6320 · 7110 · 8532 · 9480 · 10665 · 11376 · 14220 · 17064 · 18960 · 21330 · 28440 · 34128 · 42660 · 56880 · 85320 (half) · 170640
Aliquot sum (sum of proper divisors): 424,560
Factor pairs (a × b = 170,640)
1 × 170640
2 × 85320
3 × 56880
4 × 42660
5 × 34128
6 × 28440
8 × 21330
9 × 18960
10 × 17064
12 × 14220
15 × 11376
16 × 10665
18 × 9480
20 × 8532
24 × 7110
27 × 6320
30 × 5688
36 × 4740
40 × 4266
45 × 3792
48 × 3555
54 × 3160
60 × 2844
72 × 2370
79 × 2160
80 × 2133
90 × 1896
108 × 1580
120 × 1422
135 × 1264
144 × 1185
158 × 1080
180 × 948
216 × 790
237 × 720
240 × 711
270 × 632
316 × 540
360 × 474
395 × 432
First multiples
170,640 · 341,280 (double) · 511,920 · 682,560 · 853,200 · 1,023,840 · 1,194,480 · 1,365,120 · 1,535,760 · 1,706,400

Sums & aliquot sequence

As consecutive integers: 56,879 + 56,880 + 56,881 34,126 + 34,127 + 34,128 + 34,129 + 34,130 18,956 + 18,957 + … + 18,964 11,369 + 11,370 + … + 11,383
Aliquot sequence: 170,640 424,560 959,280 2,445,264 4,398,482 2,799,070 2,362,898 1,389,994 695,000 945,100 1,266,564 2,063,868 3,145,476 4,659,692 3,531,988 3,012,704 3,111,904 — unresolved within range

Continued fraction of √n

√170,640 = [413; (11, 1, 1, 1, 2, 1, 5, 2, 1, 1, 5, 3, 4, 91, 1, 1, 3, 2, 1, 16, 6, 16, 1, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand six hundred forty
Ordinal
170640th
Binary
101001101010010000
Octal
515220
Hexadecimal
0x29A90
Base64
ApqQ
One's complement
4,294,796,655 (32-bit)
Scientific notation
1.7064 × 10⁵
As a duration
170,640 s = 1 day, 23 hours, 24 minutes
In other bases
ternary (3) 22200002000
quaternary (4) 221222100
quinary (5) 20430030
senary (6) 3354000
septenary (7) 1310331
nonary (9) 280060
undecimal (11) 107228
duodecimal (12) 82900
tridecimal (13) 5c892
tetradecimal (14) 46288
pentadecimal (15) 35860

As an angle

170,640° = 474 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ροχμʹ
Chinese
一十七萬零六百四十
Chinese (financial)
壹拾柒萬零陸佰肆拾
In other modern scripts
Eastern Arabic ١٧٠٦٤٠ Devanagari १७०६४० Bengali ১৭০৬৪০ Tamil ௧௭௦௬௪௦ Thai ๑๗๐๖๔๐ Tibetan ༡༧༠༦༤༠ Khmer ១៧០៦៤០ Lao ໑໗໐໖໔໐ Burmese ၁၇၀၆၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170640, here are decompositions:

  • 7 + 170633 = 170640
  • 13 + 170627 = 170640
  • 31 + 170609 = 170640
  • 37 + 170603 = 170640
  • 61 + 170579 = 170640
  • 83 + 170557 = 170640
  • 89 + 170551 = 170640
  • 101 + 170539 = 170640

Showing the first eight; more decompositions exist.

Unicode codepoint
𩪐
CJK Unified Ideograph-29A90
U+29A90
Other letter (Lo)

UTF-8 encoding: F0 A9 AA 90 (4 bytes).

Hex color
#029A90
RGB(2, 154, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.154.144.

Address
0.2.154.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.154.144

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 170,640 and was likely granted around 1874.

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

Related reading

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