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167,420

167,420 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.).

167,420 (one hundred sixty-seven thousand four hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 761. Its proper divisors sum to 216,628, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28DFC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious 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
24,761
Recamán's sequence
a(54,016) = 167,420
Square (n²)
28,029,456,400
Cube (n³)
4,692,691,590,488,000
Divisor count
24
σ(n) — sum of divisors
384,048
φ(n) — Euler's totient
60,800
Sum of prime factors
781

Primality

Prime factorization: 2 2 × 5 × 11 × 761

Nearest primes: 167,413 (−7) · 167,423 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 220 · 761 · 1522 · 3044 · 3805 · 7610 · 8371 · 15220 · 16742 · 33484 · 41855 · 83710 (half) · 167420
Aliquot sum (sum of proper divisors): 216,628
Factor pairs (a × b = 167,420)
1 × 167420
2 × 83710
4 × 41855
5 × 33484
10 × 16742
11 × 15220
20 × 8371
22 × 7610
44 × 3805
55 × 3044
110 × 1522
220 × 761
First multiples
167,420 · 334,840 (double) · 502,260 · 669,680 · 837,100 · 1,004,520 · 1,171,940 · 1,339,360 · 1,506,780 · 1,674,200

Sums & aliquot sequence

As consecutive integers: 33,482 + 33,483 + 33,484 + 33,485 + 33,486 20,924 + 20,925 + … + 20,931 15,215 + 15,216 + … + 15,225 4,166 + 4,167 + … + 4,205
Aliquot sequence: 167,420 216,628 174,924 281,532 398,868 554,700 1,088,424 1,935,576 3,727,224 6,367,536 14,001,696 26,519,148 41,440,380 74,592,852 99,457,164 151,948,536 227,922,864 — unresolved within range

Continued fraction of √n

√167,420 = [409; (5, 1, 7, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 2, 9, 1, 42, 5, 1, 162, 1, 5, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-seven thousand four hundred twenty
Ordinal
167420th
Binary
101000110111111100
Octal
506774
Hexadecimal
0x28DFC
Base64
Ao38
One's complement
4,294,799,875 (32-bit)
Scientific notation
1.6742 × 10⁵
As a duration
167,420 s = 1 day, 22 hours, 30 minutes, 20 seconds
In other bases
ternary (3) 22111122202
quaternary (4) 220313330
quinary (5) 20324140
senary (6) 3331032
septenary (7) 1265051
nonary (9) 274582
undecimal (11) 104870
duodecimal (12) 80a78
tridecimal (13) 5b286
tetradecimal (14) 45028
pentadecimal (15) 34915

As an angle

167,420° = 465 × 360° + 20°
20° ≈ 0.349 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρξζυκʹ
Chinese
一十六萬七千四百二十
Chinese (financial)
壹拾陸萬柒仟肆佰貳拾
In other modern scripts
Eastern Arabic ١٦٧٤٢٠ Devanagari १६७४२० Bengali ১৬৭৪২০ Tamil ௧௬௭௪௨௦ Thai ๑๖๗๔๒๐ Tibetan ༡༦༧༤༢༠ Khmer ១៦៧៤២០ Lao ໑໖໗໔໒໐ Burmese ၁၆၇၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 167420, here are decompositions:

  • 7 + 167413 = 167420
  • 13 + 167407 = 167420
  • 79 + 167341 = 167420
  • 103 + 167317 = 167420
  • 109 + 167311 = 167420
  • 151 + 167269 = 167420
  • 199 + 167221 = 167420
  • 223 + 167197 = 167420

Showing the first eight; more decompositions exist.

Unicode codepoint
𨷼
CJK Unified Ideograph-28Dfc
U+28DFC
Other letter (Lo)

UTF-8 encoding: F0 A8 B7 BC (4 bytes).

Hex color
#028DFC
RGB(2, 141, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.141.252.

Address
0.2.141.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.141.252

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 167,420 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 167420 first appears in π at position 388,109 of the decimal expansion (the 388,109ordinal-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°.