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170,520

170,520 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.).

170,520 (one hundred seventy thousand five hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5 × 7² × 29. Its proper divisors sum to 445,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29A18.

Abundant Number Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
25,071
Recamán's sequence
a(470,247) = 170,520
Square (n²)
29,077,070,400
Cube (n³)
4,958,222,044,608,000
Divisor count
96
σ(n) — sum of divisors
615,600
φ(n) — Euler's totient
37,632
Sum of prime factors
57

Primality

Prime factorization: 2 3 × 3 × 5 × 7 2 × 29

Nearest primes: 170,509 (−11) · 170,537 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 28 · 29 · 30 · 35 · 40 · 42 · 49 · 56 · 58 · 60 · 70 · 84 · 87 · 98 · 105 · 116 · 120 · 140 · 145 · 147 · 168 · 174 · 196 · 203 · 210 · 232 · 245 · 280 · 290 · 294 · 348 · 392 · 406 · 420 · 435 · 490 · 580 · 588 · 609 · 696 · 735 · 812 · 840 · 870 · 980 · 1015 · 1160 · 1176 · 1218 · 1421 · 1470 · 1624 · 1740 · 1960 · 2030 · 2436 · 2842 · 2940 · 3045 · 3480 · 4060 · 4263 · 4872 · 5684 · 5880 · 6090 · 7105 · 8120 · 8526 · 11368 · 12180 · 14210 · 17052 · 21315 · 24360 · 28420 · 34104 · 42630 · 56840 · 85260 (half) · 170520
Aliquot sum (sum of proper divisors): 445,080
Factor pairs (a × b = 170,520)
1 × 170520
2 × 85260
3 × 56840
4 × 42630
5 × 34104
6 × 28420
7 × 24360
8 × 21315
10 × 17052
12 × 14210
14 × 12180
15 × 11368
20 × 8526
21 × 8120
24 × 7105
28 × 6090
29 × 5880
30 × 5684
35 × 4872
40 × 4263
42 × 4060
49 × 3480
56 × 3045
58 × 2940
60 × 2842
70 × 2436
84 × 2030
87 × 1960
98 × 1740
105 × 1624
116 × 1470
120 × 1421
140 × 1218
145 × 1176
147 × 1160
168 × 1015
174 × 980
196 × 870
203 × 840
210 × 812
232 × 735
245 × 696
280 × 609
290 × 588
294 × 580
348 × 490
392 × 435
406 × 420
First multiples
170,520 · 341,040 (double) · 511,560 · 682,080 · 852,600 · 1,023,120 · 1,193,640 · 1,364,160 · 1,534,680 · 1,705,200

Sums & aliquot sequence

As consecutive integers: 56,839 + 56,840 + 56,841 34,102 + 34,103 + 34,104 + 34,105 + 34,106 24,357 + 24,358 + … + 24,363 11,361 + 11,362 + … + 11,375
Aliquot sequence: 170,520 445,080 890,520 1,861,320 3,723,000 8,744,520 17,489,400 37,447,560 84,258,180 172,947,132 264,224,876 198,168,664 173,397,596 132,734,356 101,722,412 92,475,004 69,528,740 — unresolved within range

Continued fraction of √n

√170,520 = [412; (1, 15, 1, 5, 1, 15, 1, 824)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand five hundred twenty
Ordinal
170520th
Binary
101001101000011000
Octal
515030
Hexadecimal
0x29A18
Base64
ApoY
One's complement
4,294,796,775 (32-bit)
Scientific notation
1.7052 × 10⁵
As a duration
170,520 s = 1 day, 23 hours, 22 minutes
In other bases
ternary (3) 22122220120
quaternary (4) 221220120
quinary (5) 20424040
senary (6) 3353240
septenary (7) 1310100
nonary (9) 278816
undecimal (11) 107129
duodecimal (12) 82820
tridecimal (13) 5c7cc
tetradecimal (14) 46200
pentadecimal (15) 357d0

As an angle

170,520° = 473 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ροφκʹ
Chinese
一十七萬零五百二十
Chinese (financial)
壹拾柒萬零伍佰貳拾
In other modern scripts
Eastern Arabic ١٧٠٥٢٠ Devanagari १७०५२० Bengali ১৭০৫২০ Tamil ௧௭௦௫௨௦ Thai ๑๗๐๕๒๐ Tibetan ༡༧༠༥༢༠ Khmer ១៧០៥២០ Lao ໑໗໐໕໒໐ Burmese ၁၇၀၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170520, here are decompositions:

  • 11 + 170509 = 170520
  • 17 + 170503 = 170520
  • 23 + 170497 = 170520
  • 37 + 170483 = 170520
  • 47 + 170473 = 170520
  • 73 + 170447 = 170520
  • 79 + 170441 = 170520
  • 107 + 170413 = 170520

Showing the first eight; more decompositions exist.

Unicode codepoint
𩨘
CJK Unified Ideograph-29A18
U+29A18
Other letter (Lo)

UTF-8 encoding: F0 A9 A8 98 (4 bytes).

Hex color
#029A18
RGB(2, 154, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.154.24.

Address
0.2.154.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.154.24

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 170,520 and was likely granted around 1874.

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

Position in π

The digit sequence 170520 first appears in π at position 43,822 of the decimal expansion (the 43,822ordinal-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°.