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170,040

170,040 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.).

170,040 (one hundred seventy thousand forty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 5 × 13 × 109. Its proper divisors sum to 384,360, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x29838.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
40,071
Square (n²)
28,913,601,600
Cube (n³)
4,916,468,816,064,000
Divisor count
64
σ(n) — sum of divisors
554,400
φ(n) — Euler's totient
41,472
Sum of prime factors
136

Primality

Prime factorization: 2 3 × 3 × 5 × 13 × 109

Nearest primes: 170,029 (−11) · 170,047 (+7)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 13 · 15 · 20 · 24 · 26 · 30 · 39 · 40 · 52 · 60 · 65 · 78 · 104 · 109 · 120 · 130 · 156 · 195 · 218 · 260 · 312 · 327 · 390 · 436 · 520 · 545 · 654 · 780 · 872 · 1090 · 1308 · 1417 · 1560 · 1635 · 2180 · 2616 · 2834 · 3270 · 4251 · 4360 · 5668 · 6540 · 7085 · 8502 · 11336 · 13080 · 14170 · 17004 · 21255 · 28340 · 34008 · 42510 · 56680 · 85020 (half) · 170040
Aliquot sum (sum of proper divisors): 384,360
Factor pairs (a × b = 170,040)
1 × 170040
2 × 85020
3 × 56680
4 × 42510
5 × 34008
6 × 28340
8 × 21255
10 × 17004
12 × 14170
13 × 13080
15 × 11336
20 × 8502
24 × 7085
26 × 6540
30 × 5668
39 × 4360
40 × 4251
52 × 3270
60 × 2834
65 × 2616
78 × 2180
104 × 1635
109 × 1560
120 × 1417
130 × 1308
156 × 1090
195 × 872
218 × 780
260 × 654
312 × 545
327 × 520
390 × 436
First multiples
170,040 · 340,080 (double) · 510,120 · 680,160 · 850,200 · 1,020,240 · 1,190,280 · 1,360,320 · 1,530,360 · 1,700,400

Sums & aliquot sequence

As consecutive integers: 56,679 + 56,680 + 56,681 34,006 + 34,007 + 34,008 + 34,009 + 34,010 13,074 + 13,075 + … + 13,086 11,329 + 11,330 + … + 11,343
Aliquot sequence: 170,040 384,360 769,080 1,952,520 4,035,000 8,617,200 19,797,648 35,282,160 83,209,512 136,937,688 205,406,592 340,205,688 582,042,912 1,119,229,248 1,944,193,632 3,159,314,904 4,993,757,736 — unresolved within range

Continued fraction of √n

√170,040 = [412; (2, 1, 3, 1, 1, 1, 6, 2, 7, 2, 6, 1, 1, 1, 3, 1, 2, 824)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand forty
Ordinal
170040th
Binary
101001100000111000
Octal
514070
Hexadecimal
0x29838
Base64
Apg4
One's complement
4,294,797,255 (32-bit)
Scientific notation
1.7004 × 10⁵
As a duration
170,040 s = 1 day, 23 hours, 14 minutes
In other bases
ternary (3) 22122020210
quaternary (4) 221200320
quinary (5) 20420130
senary (6) 3351120
septenary (7) 1305513
nonary (9) 278223
undecimal (11) 106832
duodecimal (12) 824a0
tridecimal (13) 5c520
tetradecimal (14) 45d7a
pentadecimal (15) 355b0

As an angle

170,040° = 472 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρομʹ
Chinese
一十七萬零四十
Chinese (financial)
壹拾柒萬零肆拾
In other modern scripts
Eastern Arabic ١٧٠٠٤٠ Devanagari १७००४० Bengali ১৭০০৪০ Tamil ௧௭௦௦௪௦ Thai ๑๗๐๐๔๐ Tibetan ༡༧༠༠༤༠ Khmer ១៧០០៤០ Lao ໑໗໐໐໔໐ Burmese ၁၇၀၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 170040, here are decompositions:

  • 11 + 170029 = 170040
  • 19 + 170021 = 170040
  • 37 + 170003 = 170040
  • 53 + 169987 = 170040
  • 83 + 169957 = 170040
  • 89 + 169951 = 170040
  • 97 + 169943 = 170040
  • 103 + 169937 = 170040

Showing the first eight; more decompositions exist.

Unicode codepoint
𩠸
CJK Unified Ideograph-29838
U+29838
Other letter (Lo)

UTF-8 encoding: F0 A9 A0 B8 (4 bytes).

Hex color
#029838
RGB(2, 152, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.152.56.

Address
0.2.152.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.152.56

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 170,040 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 170040 first appears in π at position 173,939 of the decimal expansion (the 173,939ordinal-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°.