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167,040

167,040 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.).

167,040 (one hundred sixty-seven thousand forty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁷ × 3² × 5 × 29. Its proper divisors sum to 429,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28C80.

Abundant 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
40,761
Recamán's sequence
a(471,927) = 167,040
Square (n²)
27,902,361,600
Cube (n³)
4,660,810,481,664,000
Divisor count
96
σ(n) — sum of divisors
596,700
φ(n) — Euler's totient
43,008
Sum of prime factors
54

Primality

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

Nearest primes: 167,039 (−1) · 167,047 (+7)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 29 · 30 · 32 · 36 · 40 · 45 · 48 · 58 · 60 · 64 · 72 · 80 · 87 · 90 · 96 · 116 · 120 · 128 · 144 · 145 · 160 · 174 · 180 · 192 · 232 · 240 · 261 · 288 · 290 · 320 · 348 · 360 · 384 · 435 · 464 · 480 · 522 · 576 · 580 · 640 · 696 · 720 · 870 · 928 · 960 · 1044 · 1152 · 1160 · 1305 · 1392 · 1440 · 1740 · 1856 · 1920 · 2088 · 2320 · 2610 · 2784 · 2880 · 3480 · 3712 · 4176 · 4640 · 5220 · 5568 · 5760 · 6960 · 8352 · 9280 · 10440 · 11136 · 13920 · 16704 · 18560 · 20880 · 27840 · 33408 · 41760 · 55680 · 83520 (half) · 167040
Aliquot sum (sum of proper divisors): 429,660
Factor pairs (a × b = 167,040)
1 × 167040
2 × 83520
3 × 55680
4 × 41760
5 × 33408
6 × 27840
8 × 20880
9 × 18560
10 × 16704
12 × 13920
15 × 11136
16 × 10440
18 × 9280
20 × 8352
24 × 6960
29 × 5760
30 × 5568
32 × 5220
36 × 4640
40 × 4176
45 × 3712
48 × 3480
58 × 2880
60 × 2784
64 × 2610
72 × 2320
80 × 2088
87 × 1920
90 × 1856
96 × 1740
116 × 1440
120 × 1392
128 × 1305
144 × 1160
145 × 1152
160 × 1044
174 × 960
180 × 928
192 × 870
232 × 720
240 × 696
261 × 640
288 × 580
290 × 576
320 × 522
348 × 480
360 × 464
384 × 435
First multiples
167,040 · 334,080 (double) · 501,120 · 668,160 · 835,200 · 1,002,240 · 1,169,280 · 1,336,320 · 1,503,360 · 1,670,400

Sums & aliquot sequence

As a sum of two squares: 24² + 408² = 264² + 312²
As consecutive integers: 55,679 + 55,680 + 55,681 33,406 + 33,407 + 33,408 + 33,409 + 33,410 18,556 + 18,557 + … + 18,564 11,129 + 11,130 + … + 11,143
Aliquot sequence: 167,040 429,660 1,247,652 2,357,404 2,440,676 2,517,340 3,524,612 4,415,740 6,182,372 6,834,268 7,042,084 8,790,236 12,283,684 12,380,956 12,381,012 25,673,004 53,085,396 — unresolved within range

Continued fraction of √n

√167,040 = [408; (1, 2, 2, 1, 1, 5, 11, 2, 1, 203, 1, 2, 11, 5, 1, 1, 2, 2, 1, 816)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand forty
Ordinal
167040th
Binary
101000110010000000
Octal
506200
Hexadecimal
0x28C80
Base64
AoyA
One's complement
4,294,800,255 (32-bit)
Scientific notation
1.6704 × 10⁵
As a duration
167,040 s = 1 day, 22 hours, 24 minutes
In other bases
ternary (3) 22111010200
quaternary (4) 220302000
quinary (5) 20321130
senary (6) 3325200
septenary (7) 1263666
nonary (9) 274120
undecimal (11) 104555
duodecimal (12) 80800
tridecimal (13) 5b053
tetradecimal (14) 44c36
pentadecimal (15) 34760

As an angle

167,040° = 464 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξζμʹ
Chinese
一十六萬七千零四十
Chinese (financial)
壹拾陸萬柒仟零肆拾
In other modern scripts
Eastern Arabic ١٦٧٠٤٠ Devanagari १६७०४० Bengali ১৬৭০৪০ Tamil ௧௬௭௦௪௦ Thai ๑๖๗๐๔๐ Tibetan ༡༦༧༠༤༠ Khmer ១៦៧០៤០ Lao ໑໖໗໐໔໐ Burmese ၁၆၇၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167040, here are decompositions:

  • 7 + 167033 = 167040
  • 17 + 167023 = 167040
  • 19 + 167021 = 167040
  • 23 + 167017 = 167040
  • 31 + 167009 = 167040
  • 53 + 166987 = 167040
  • 61 + 166979 = 167040
  • 67 + 166973 = 167040

Showing the first eight; more decompositions exist.

Unicode codepoint
𨲀
CJK Unified Ideograph-28C80
U+28C80
Other letter (Lo)

UTF-8 encoding: F0 A8 B2 80 (4 bytes).

Hex color
#028C80
RGB(2, 140, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.140.128.

Address
0.2.140.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.140.128

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 167,040 and was likely granted around 1874.

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

Related reading

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