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167,240

167,240 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.).

167,240 (one hundred sixty-seven thousand two hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 37 × 113. Its proper divisors sum to 222,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28D48.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
42,761
Recamán's sequence
a(471,527) = 167,240
Square (n²)
27,969,217,600
Cube (n³)
4,677,571,951,424,000
Divisor count
32
σ(n) — sum of divisors
389,880
φ(n) — Euler's totient
64,512
Sum of prime factors
161

Primality

Prime factorization: 2 3 × 5 × 37 × 113

Nearest primes: 167,221 (−19) · 167,249 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 20 · 37 · 40 · 74 · 113 · 148 · 185 · 226 · 296 · 370 · 452 · 565 · 740 · 904 · 1130 · 1480 · 2260 · 4181 · 4520 · 8362 · 16724 · 20905 · 33448 · 41810 · 83620 (half) · 167240
Aliquot sum (sum of proper divisors): 222,640
Factor pairs (a × b = 167,240)
1 × 167240
2 × 83620
4 × 41810
5 × 33448
8 × 20905
10 × 16724
20 × 8362
37 × 4520
40 × 4181
74 × 2260
113 × 1480
148 × 1130
185 × 904
226 × 740
296 × 565
370 × 452
First multiples
167,240 · 334,480 (double) · 501,720 · 668,960 · 836,200 · 1,003,440 · 1,170,680 · 1,337,920 · 1,505,160 · 1,672,400

Sums & aliquot sequence

As a sum of two squares: 94² + 398² = 146² + 382² = 218² + 346² = 262² + 314²
As consecutive integers: 33,446 + 33,447 + 33,448 + 33,449 + 33,450 10,445 + 10,446 + … + 10,460 4,502 + 4,503 + … + 4,538 2,051 + 2,052 + … + 2,130
Aliquot sequence: 167,240 222,640 371,072 428,608 449,724 695,364 927,180 2,157,300 5,342,220 12,580,020 26,417,484 40,621,852 32,047,108 27,334,424 28,078,696 27,666,044 28,607,236 — unresolved within range

Continued fraction of √n

√167,240 = [408; (1, 18, 1, 18, 1, 816)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand two hundred forty
Ordinal
167240th
Binary
101000110101001000
Octal
506510
Hexadecimal
0x28D48
Base64
Ao1I
One's complement
4,294,800,055 (32-bit)
Scientific notation
1.6724 × 10⁵
As a duration
167,240 s = 1 day, 22 hours, 27 minutes, 20 seconds
In other bases
ternary (3) 22111102002
quaternary (4) 220311020
quinary (5) 20322430
senary (6) 3330132
septenary (7) 1264403
nonary (9) 274362
undecimal (11) 104717
duodecimal (12) 80948
tridecimal (13) 5b178
tetradecimal (14) 44d3a
pentadecimal (15) 34845

As an angle

167,240° = 464 × 360° + 200°
200° ≈ 3.491 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρξζσμʹ
Chinese
一十六萬七千二百四十
Chinese (financial)
壹拾陸萬柒仟貳佰肆拾
In other modern scripts
Eastern Arabic ١٦٧٢٤٠ Devanagari १६७२४० Bengali ১৬৭২৪০ Tamil ௧௬௭௨௪௦ Thai ๑๖๗๒๔๐ Tibetan ༡༦༧༢༤༠ Khmer ១៦៧២៤០ Lao ໑໖໗໒໔໐ Burmese ၁၆၇၂၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167240, here are decompositions:

  • 19 + 167221 = 167240
  • 43 + 167197 = 167240
  • 67 + 167173 = 167240
  • 127 + 167113 = 167240
  • 163 + 167077 = 167240
  • 193 + 167047 = 167240
  • 223 + 167017 = 167240
  • 331 + 166909 = 167240

Showing the first eight; more decompositions exist.

Unicode codepoint
𨵈
CJK Unified Ideograph-28D48
U+28D48
Other letter (Lo)

UTF-8 encoding: F0 A8 B5 88 (4 bytes).

Hex color
#028D48
RGB(2, 141, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.141.72.

Address
0.2.141.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.141.72

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 167,240 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°.