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165,920

165,920 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.).

165,920 (one hundred sixty-five thousand nine hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 5 × 17 × 61. Its proper divisors sum to 255,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28820.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
29,561
Recamán's sequence
a(196,152) = 165,920
Square (n²)
27,529,446,400
Cube (n³)
4,567,685,746,688,000
Divisor count
48
σ(n) — sum of divisors
421,848
φ(n) — Euler's totient
61,440
Sum of prime factors
93

Primality

Prime factorization: 2 5 × 5 × 17 × 61

Nearest primes: 165,901 (−19) · 165,931 (+11)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 17 · 20 · 32 · 34 · 40 · 61 · 68 · 80 · 85 · 122 · 136 · 160 · 170 · 244 · 272 · 305 · 340 · 488 · 544 · 610 · 680 · 976 · 1037 · 1220 · 1360 · 1952 · 2074 · 2440 · 2720 · 4148 · 4880 · 5185 · 8296 · 9760 · 10370 · 16592 · 20740 · 33184 · 41480 · 82960 (half) · 165920
Aliquot sum (sum of proper divisors): 255,928
Factor pairs (a × b = 165,920)
1 × 165920
2 × 82960
4 × 41480
5 × 33184
8 × 20740
10 × 16592
16 × 10370
17 × 9760
20 × 8296
32 × 5185
34 × 4880
40 × 4148
61 × 2720
68 × 2440
80 × 2074
85 × 1952
122 × 1360
136 × 1220
160 × 1037
170 × 976
244 × 680
272 × 610
305 × 544
340 × 488
First multiples
165,920 · 331,840 (double) · 497,760 · 663,680 · 829,600 · 995,520 · 1,161,440 · 1,327,360 · 1,493,280 · 1,659,200

Sums & aliquot sequence

As a sum of two squares: 52² + 404² = 124² + 388² = 236² + 332² = 284² + 292²
As consecutive integers: 33,182 + 33,183 + 33,184 + 33,185 + 33,186 9,752 + 9,753 + … + 9,768 2,690 + 2,691 + … + 2,750 2,561 + 2,562 + … + 2,624
Aliquot sequence: 165,920 255,928 223,952 209,986 158,078 79,042 39,524 31,624 29,576 25,894 17,198 8,602 6,950 6,070 4,874 2,440 3,140 — unresolved within range

Continued fraction of √n

√165,920 = [407; (3, 203, 3, 814)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand nine hundred twenty
Ordinal
165920th
Binary
101000100000100000
Octal
504040
Hexadecimal
0x28820
Base64
Aogg
One's complement
4,294,801,375 (32-bit)
Scientific notation
1.6592 × 10⁵
As a duration
165,920 s = 1 day, 22 hours, 5 minutes, 20 seconds
In other bases
ternary (3) 22102121012
quaternary (4) 220200200
quinary (5) 20302140
senary (6) 3320052
septenary (7) 1260506
nonary (9) 272535
undecimal (11) 103727
duodecimal (12) 80028
tridecimal (13) 5a6a1
tetradecimal (14) 44676
pentadecimal (15) 34265

As an angle

165,920° = 460 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ρξεϡκʹ
Chinese
一十六萬五千九百二十
Chinese (financial)
壹拾陸萬伍仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٦٥٩٢٠ Devanagari १६५९२० Bengali ১৬৫৯২০ Tamil ௧௬௫௯௨௦ Thai ๑๖๕๙๒๐ Tibetan ༡༦༥༩༢༠ Khmer ១៦៥៩២០ Lao ໑໖໕໙໒໐ Burmese ၁၆၅၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165920, here are decompositions:

  • 19 + 165901 = 165920
  • 37 + 165883 = 165920
  • 43 + 165877 = 165920
  • 103 + 165817 = 165920
  • 109 + 165811 = 165920
  • 199 + 165721 = 165920
  • 211 + 165709 = 165920
  • 331 + 165589 = 165920

Showing the first eight; more decompositions exist.

Unicode codepoint
𨠠
CJK Unified Ideograph-28820
U+28820
Other letter (Lo)

UTF-8 encoding: F0 A8 A0 A0 (4 bytes).

Hex color
#028820
RGB(2, 136, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.136.32.

Address
0.2.136.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.136.32

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 165,920 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 165920 first appears in π at position 899,780 of the decimal expansion (the 899,780ordinal-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°.