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165,132

165,132 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.).

165,132 (one hundred sixty-five thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 11 × 139. Its proper divisors sum to 305,268, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2850C.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
180
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
231,561
Square (n²)
27,268,577,424
Cube (n³)
4,502,914,727,179,968
Divisor count
48
σ(n) — sum of divisors
470,400
φ(n) — Euler's totient
49,680
Sum of prime factors
163

Primality

Prime factorization: 2 2 × 3 3 × 11 × 139

Nearest primes: 165,103 (−29) · 165,133 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 27 · 33 · 36 · 44 · 54 · 66 · 99 · 108 · 132 · 139 · 198 · 278 · 297 · 396 · 417 · 556 · 594 · 834 · 1188 · 1251 · 1529 · 1668 · 2502 · 3058 · 3753 · 4587 · 5004 · 6116 · 7506 · 9174 · 13761 · 15012 · 18348 · 27522 · 41283 · 55044 · 82566 (half) · 165132
Aliquot sum (sum of proper divisors): 305,268
Factor pairs (a × b = 165,132)
1 × 165132
2 × 82566
3 × 55044
4 × 41283
6 × 27522
9 × 18348
11 × 15012
12 × 13761
18 × 9174
22 × 7506
27 × 6116
33 × 5004
36 × 4587
44 × 3753
54 × 3058
66 × 2502
99 × 1668
108 × 1529
132 × 1251
139 × 1188
198 × 834
278 × 594
297 × 556
396 × 417
First multiples
165,132 · 330,264 (double) · 495,396 · 660,528 · 825,660 · 990,792 · 1,155,924 · 1,321,056 · 1,486,188 · 1,651,320

Sums & aliquot sequence

As consecutive integers: 55,043 + 55,044 + 55,045 20,638 + 20,639 + … + 20,645 18,344 + 18,345 + … + 18,352 15,007 + 15,008 + … + 15,017
Aliquot sequence: 165,132 305,268 407,052 648,548 492,424 430,886 215,446 187,754 134,134 140,042 104,488 97,292 86,164 76,320 189,036 302,364 486,060 — unresolved within range

Continued fraction of √n

√165,132 = [406; (2, 1, 2, 1, 10, 1, 1, 3, 1, 1, 1, 1, 1, 21, 1, 21, 101, 1, 1, 4, 1, 89, 2, 16, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred sixty-five thousand one hundred thirty-two
Ordinal
165132nd
Binary
101000010100001100
Octal
502414
Hexadecimal
0x2850C
Base64
AoUM
One's complement
4,294,802,163 (32-bit)
Scientific notation
1.65132 × 10⁵
As a duration
165,132 s = 1 day, 21 hours, 52 minutes, 12 seconds
In other bases
ternary (3) 22101112000
quaternary (4) 220110030
quinary (5) 20241012
senary (6) 3312300
septenary (7) 1255302
nonary (9) 271460
undecimal (11) 103080
duodecimal (12) 7b690
tridecimal (13) 5a216
tetradecimal (14) 44272
pentadecimal (15) 33ddc

As an angle

165,132° = 458 × 360° + 252°
252° ≈ 4.398 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρξερλβʹ
Chinese
一十六萬五千一百三十二
Chinese (financial)
壹拾陸萬伍仟壹佰參拾貳
In other modern scripts
Eastern Arabic ١٦٥١٣٢ Devanagari १६५१३२ Bengali ১৬৫১৩২ Tamil ௧௬௫௧௩௨ Thai ๑๖๕๑๓๒ Tibetan ༡༦༥༡༣༢ Khmer ១៦៥១៣២ Lao ໑໖໕໑໓໒ Burmese ၁၆၅၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165132, here are decompositions:

  • 29 + 165103 = 165132
  • 43 + 165089 = 165132
  • 53 + 165079 = 165132
  • 73 + 165059 = 165132
  • 83 + 165049 = 165132
  • 131 + 165001 = 165132
  • 179 + 164953 = 165132
  • 239 + 164893 = 165132

Showing the first eight; more decompositions exist.

Unicode codepoint
𨔌
CJK Unified Ideograph-2850C
U+2850C
Other letter (Lo)

UTF-8 encoding: F0 A8 94 8C (4 bytes).

Hex color
#02850C
RGB(2, 133, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.133.12.

Address
0.2.133.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.133.12

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 165,132 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 165132 first appears in π at position 149,878 of the decimal expansion (the 149,878ordinal-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°.